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<!DOCTYPE html>
<html class="sl-root decks export offline loaded">
<head>
<meta name="viewport" content="width=device-width, initial-scale=1.0, maximum-scale=1.0, user-scalable=no, minimal-ui">
<meta charset="utf-8">
<meta http-equiv="X-UA-Compatible" content="IE=edge,chrome=1">
<title>defense</title>
<link rel="stylesheet" type="text/css" href="lib/offline-v2.css">
<!-- User CSS -->
<style id="user-css-output" type="text/css">
.reveal {
/* otf computer modern from http://mirrors.concertpass.com/tex-archive/fonts/cm-unicode/fonts/otf/ */
}
@font-face {
font-family: "Computer Modern";
src: 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format("opentype");
}
@font-face {
font-family: "Computer Modern";
src: 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<div class="reveal">
<div class="slides">
<section data-id="a06f31710f54fb73ed4104accb9f72e4"><div class="sl-block" data-block-type="text" style="width: 960px; left: 128px; top: 225px; height: auto;" data-block-id="fbd57f07a49c49b53646d91fec30dee0"><div class="sl-block-content" data-placeholder-tag="h1" data-placeholder-text="Title Text" style="z-index: 10;">
<h2><strong> Universal analog computation on programmable nanophotonic integrated circuits</strong></h2>
</div></div>
<div class="sl-block" data-block-type="text" data-name="text-ce93bb" style="height: auto; width: 600px; left: 308px; top: 467px;" data-block-id="7ab516f89eaaf8edc2e9050ffffa5aec"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 11;" dir="ui">
<p><span style="font-size:1.4em">Sunil Pai</span></p>
<p><span style="font-size:0.9em">PhD Defense, Electrical Engineering</span></p>
<p><span style="font-size:0.9em">Advisor: Olav Solgaard</span></p>
<p><span style="font-size:0.9em">Co-advisors: David AB Miller, Shanhui Fan</span></p>
<p><span style="font-size:0.9em">March 28, 2022</span></p>
</div></div>
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<div class="sl-block" data-block-type="image" style="width: 736px; height: 146.144px; left: 240px; top: 38.928px; min-width: 1px; min-height: 1px;" data-name="image-436f42" data-block-id="d1d27b1034a0dfbb78f1b1748c285af0"><div class="sl-block-content" style="z-index: 13;"><img style="" data-natural-width="1672" data-natural-height="332" data-lazy-loaded="" data-src="deck-f35950/9d84a117f8b595fb1da44587506c3086.png"></div></div></section><section data-id="53bd94ff46a90883a2fcf8cafb27c9c6"><div class="sl-block" data-block-type="text" style="width: 806px; left: 205px; top: 34px; height: auto;" data-name="text-f88eb1" data-block-id="18ddd755bd61f22bbed362060d9271f2"><div class="sl-block-content" data-placeholder-tag="h2" data-placeholder-text="Title Text" style="z-index: 10;">
<h2>Integrated photonics</h2>
</div></div>
<div class="sl-block" data-block-type="image" style="width: 960px; height: 112.593px; left: 128px; top: 573.711px; min-width: 1px; min-height: 1px;" data-name="image-2efa7d" data-block-id="e72037ac36f527eff6fb3799e6f6f363"><div class="sl-block-content" style="z-index: 11;"><img style="" data-natural-width="1134" data-natural-height="133" data-lazy-loaded="" data-src="deck-f35950/9bcb8bb2fc651babbb8b89561e271d9d.gif"></div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 299px; left: 776.9px; top: 565.711px;" data-name="text-a1acd2" data-block-id="4579deb4fe55a64a5fbb264d99090b05"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 12;">
<p><span style="font-size:0.5em"><span style="color:#FFFFFF">based on measurements from experiment</span></span></p>
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<div class="sl-block" data-block-type="text" style="height: auto; width: 527px; left: 35.4px; top: 153.9px;" data-name="text-877226" data-block-id="a91d9cd16e805ae8080b9c2d295d0a3b"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 13;">
<p style="text-align:left"><strong>Photonics</strong>: "engineering light"</p>
<ol>
<li style="text-align:left">
<strong>Generation: </strong>laser, LED</li>
<li style="text-align:left">
<strong>Detection: </strong>photodetector, camera</li>
<li style="text-align:left">
<strong>Control: </strong>modulator, waveguide</li>
</ol>
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<div class="sl-block" data-block-type="text" style="height: auto; width: 229px; left: 973.437px; top: 185.6px;" data-name="text-40fa3a" data-block-id="806eabd87fe6dd5e9174c7c7ef8385b5"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 14;">
<p>Fiber optics</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 436px; left: 356.3px; top: 534.711px;" data-block-id="2c619cca5dda59f12b9c6ee1fa216fe3" data-name="text-c9edcf"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 15;" dir="ui">
<p>Our photonic integrated circuit</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 772px; left: 35.4px; top: 347.5px;" data-block-id="9fd698d591ff8803fe0b67db6db72f6a" data-name="text-eecaef"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 16;">
<p style="text-align:left">Integrated photonics:</p>
<ul>
<li style="text-align:left">Integrate one or more above at scale on a chip</li>
<li style="text-align:left">
<strong>Ex.:</strong> silicon (Si) waveguide "wires" guide light (1550 nm)</li>
<li style="text-align:left">Energy-efficient and mass-manufactured</li>
</ul>
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<p><span style="color:#FFFFFF"><span style="font-size:0.5em">Si waveguides</span></span></p>
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<p><span style="color:#FFFFFF"><span style="font-size:0.5em"> made in blender</span></span></p>
</div></div>
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<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 752.3px; top: 306px;" data-block-id="4bd58209d037ced625ac0fb91b854fb0" data-name="line-c7dafd"><div class="sl-block-content" data-line-x1="0" data-line-y1="0" data-line-x2="158" data-line-y2="0" data-line-color="#000000" data-line-start-type="none" data-line-end-type="line-arrow" style="z-index: 20;"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="158" height="1" viewbox="0 0 158 1"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="0" y1="0" x2="156" y2="0"></line><line class="line-element" stroke="#000000" stroke-width="2" x1="0" y1="0" x2="156" y2="0"></line><path style="fill: rgba(0,0,0,0);" stroke="#000000" stroke-width="2" transform="translate(156,0) rotate(90)" d="M 6 6 L 0 0 L -6 6"></path></svg></div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 130px; left: 619.4px; top: 289.5px;" data-name="text-078866" data-block-id="f6398e7486bb7a9c17b67d7227ff1164"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 21; font-size: 90%;">
<p>guides light</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 302px; left: 533.4px; top: 329px;" data-block-id="25b99a944b2a4b3c827e9805f9dac236" data-name="text-b2233c"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 22; font-size: 80%;">
<p>(like a wire guides electricity)</p>
</div></div>
<div class="sl-block" data-block-type="image" style="width: 355.273px; height: 195.4px; left: 910.3px; top: 224.6px; min-width: 1px; min-height: 1px;" data-name="image-7ed9e2" data-block-id="20d2f8da6c6222054cfc8755113bb1de"><div class="sl-block-content" style="z-index: 23;"><img style="" data-natural-width="500" data-natural-height="275" data-lazy-loaded="" data-src="deck-f35950/416d6a7ea44f5608bb3fe667387b1140.png"></div></div></section><section class="stack" data-id="c4d7141b38fc2d8f3268df1f57382b7d"><section data-id="bcc4c11111b381bee735913cc79f6868"><div class="sl-block" data-block-type="text" style="width: 806px; left: 227px; top: 35px; height: auto;" data-name="text-f88eb1" data-block-id="d307d962136af1cc6af8aa23f474a8e1"><div class="sl-block-content" data-placeholder-tag="h2" data-placeholder-text="Title Text" style="z-index: 10;">
<h2>Programmable photonics</h2>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 1071px; left: 104.5px; top: 131px;" data-block-id="5c61852b348544a9513185efe8bc6ae2" data-name="text-1e5a9b"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 11;">
<p>Programmable photonics allows us to shape and manipulate light programmatically.</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 387px; left: 104.5px; top: 200px;" data-block-id="4950ccc5693ecc2a627c5997a0669f7f" data-name="text-afbb7d"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 12;">
<p>Programmable bulk optics</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 443px; left: 715.581px; top: 200px;" data-block-id="aba14c474f36c8cb92b477b6f3c4aea0" data-name="text-643cfb"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 13;">
<p>Programmable chip-scale photonics</p>
</div></div>
<div class="sl-block" data-block-type="image" style="width: 619px; height: 72.5988px; left: 638px; top: 280px; min-width: 1px; min-height: 1px;" data-name="image-2efa7d" data-block-id="ba9a5cd02540df7b42e8de5c3157fc8f"><div class="sl-block-content" style="z-index: 14;"><img style="" data-natural-width="1134" data-natural-height="133" data-lazy-loaded="" data-src="deck-f35950/9bcb8bb2fc651babbb8b89561e271d9d.gif"></div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 391px; left: 88.893px; top: 557px;" data-block-id="47cb218365fc59697b95d4ad3d3911bb" data-name="text-8ccb82"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 15;">
<p>Some projectors use these!</p>
</div></div>
<div class="sl-block" data-block-type="image" style="width: 258.214px; height: 216.9px; left: 339.208px; top: 301.799px; min-width: 1px; min-height: 1px;" data-name="image-799d9a" data-block-id="018671784905b9f38d062335c9724626"><div class="sl-block-content" style="z-index: 16;"><img style="" data-natural-width="800" data-natural-height="672" data-lazy-loaded="" data-src="deck-f35950/a2010a89868f33cff72bb3f241579c97.png"></div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 552px; left: 656px; top: 409.516px;" data-block-id="06d3856fa372d2b660f4d2e645f53520" data-name="text-8dcb7c"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 17;">
<p>Chip-scale light manipulation</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 445px; left: 75.5px; top: 605.755px;" data-block-id="86f175c8b36278fb8a374f6369df25a2" data-name="text-51c09b"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 18;">
<p>3D holography / augmented reality</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 567px; left: 664px; top: 462.45px;" data-block-id="472cc8aeff5058ed90eede8c7aaea030" data-name="text-76956a"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 19;">
<p>Also does math (<strong>matrix-vector multiply</strong>)</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 600px; left: 648.5px; top: 352.599px;" data-name="text-f63a24" data-block-id="d8160d90a4baf705199a1951c72e9be3"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 20;">
<p>8 mm long</p>
</div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 636px; top: 371.099px;" data-name="line-5a647a" data-block-id="884f5c64fb373d2e7546bb58249ccd36"><div class="sl-block-content" data-line-x1="0" data-line-y1="0" data-line-x2="237" data-line-y2="0" data-line-color="#000000" data-line-start-type="line-arrow" data-line-end-type="none" style="z-index: 21;"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="237" height="1" viewbox="0 0 237 1"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="1.9999999999999998" y1="0" x2="237" y2="0"></line><line class="line-element" stroke="#000000" stroke-width="2" x1="1.9999999999999998" y1="0" x2="237" y2="0"></line><path style="fill: rgba(0,0,0,0);" stroke="#000000" stroke-width="2" transform="translate(1.9999999999999998,0) rotate(90)" d="M -6 -6 L 0 0 L 6 -6"></path></svg></div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 1021px; top: 372.099px;" data-block-id="f6a98cdaf835404cceeb12dcb0fc6d17" data-name="line-26bd66"><div class="sl-block-content" data-line-x1="0" data-line-y1="0" data-line-x2="237" data-line-y2="0" data-line-color="#000000" data-line-start-type="none" data-line-end-type="line-arrow" style="z-index: 22;"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="237" height="1" viewbox="0 0 237 1"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="0" y1="0" x2="235" y2="0"></line><line class="line-element" stroke="#000000" stroke-width="2" x1="0" y1="0" x2="235" y2="0"></line><path style="fill: rgba(0,0,0,0);" stroke="#000000" stroke-width="2" transform="translate(235,0) rotate(90)" d="M 6 6 L 0 0 L -6 6"></path></svg></div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 391px; left: 88.893px; top: 655px;" data-block-id="5e372bf08ed13996a770cd1ff4dba996" data-name="text-18c9a3"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 23;">
<p>Bulk optical computing</p>
</div></div>
<div class="sl-block" data-block-type="image" style="width: 318.329px; height: 179.366px; left: 17.6155px; top: 339.333px; min-width: 1px; min-height: 1px;" data-name="image-1a7e45" data-block-id="e68127063b96df951a6731eca5c45762"><div class="sl-block-content" style="z-index: 24;"><img style="" data-natural-width="520" data-natural-height="293" data-lazy-loaded="" data-src="deck-f35950/bede6d51ff6078272cbbfd3a714413b1.gif"></div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 326px; left: 9.9445px; top: 301.799px;" data-block-id="b48d4533d08d74f800052c036e17cadc" data-name="text-aea7fa"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 25; font-size: 75%;">
<p>Spatial light modulator</p>
</div></div>
<div class="sl-block" data-block-type="image" style="width: 402.838px; height: 174.112px; left: 747.081px; top: 518.699px; min-width: 1px; min-height: 1px;" data-name="image-ca1f98" data-block-id="0caaabca2df9ae8cb7a1fd91ce875a20"><div class="sl-block-content" style="z-index: 26;"><img style="" data-natural-width="1726" data-natural-height="746" data-lazy-loaded="" data-src="deck-f35950/84f09e7906a55a346967f958c32168aa.png"></div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 479.893px; top: 219.5px;" data-name="line-779669" data-block-id="86d2b967dfcae3d279448c96e0b67ffd"><div class="sl-block-content" data-line-x1="0" data-line-y1="0" data-line-x2="216.10699999999997" data-line-y2="0" data-line-color="#000000" data-line-start-type="none" data-line-end-type="line-arrow" style="z-index: 27;" data-line-width="5px"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="216.10699999999997" height="1" viewbox="0 0 216.10699999999997 1"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="0.5" y1="0.5" x2="212.85699999999997" y2="0.5"></line><line class="line-element" stroke="#000000" stroke-width="5" x1="0.5" y1="0.5" x2="212.85699999999997" y2="0.5"></line><path style="fill: rgba(0,0,0,0);" stroke="#000000" stroke-width="5" transform="translate(212.35699999999997,0) rotate(90)" d="M 11.25 11.25 L 0 0 L -11.25 11.25"></path></svg></div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 600px; left: 284.393px; top: 180.5px;" data-name="text-57d7e8" data-block-id="77d564a4b1609db9916fe91e098195ee"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 28;">
<p>miniaturize</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 155.329px; left: 183.879px; top: 498.699px;" data-name="text-738a2f" data-block-id="dfbfc31082344c2bbd82e24e9e0022b6"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 29; font-size: 50%; color: rgb(255, 255, 255);">
<p>Electronoobs, Youtube</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 118.054px; left: 479.893px; top: 498.699px;" data-block-id="8e85b9d4b43734bff6255ff0baafc911" data-name="text-f22be2"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 30; font-size: 50%; color: rgb(0, 0, 0);">
<p>Holoeye Photonics</p>
</div></div></section><section data-id="5b522bbf14dfcc48feccea04b64f5be8"><div class="sl-block" data-block-type="text" style="width: 806px; left: 205px; top: 74px; height: auto;" data-name="text-f88eb1" data-block-id="fdebe8f6fae026000fe89089f0dc670e"><div class="sl-block-content" data-placeholder-tag="h2" data-placeholder-text="Title Text" style="z-index: 10;">
<h2>Programmable photonics</h2>
</div></div>
<div class="sl-block" data-block-type="image" style="width: 282.9px; height: 282.9px; left: 126.55px; top: 254.4px;" data-name="image-843615" data-block-id="d1c1db5923a967380c98acc559ebf3ef"><div class="sl-block-content" style="z-index: 11;"><img style="" data-natural-width="1007" data-natural-height="1007" data-lazy-loaded="" data-src="deck-f35950/3d8585adceb18756230728ab425465ee.png"></div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 180px; left: 178px; top: 207.4px;" data-name="text-b3a7ba" data-block-id="3e1ddc998196ed268bfcd8c0897e6502"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 12;">
<p>H tree circuit</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 364px; left: 94px; top: 537.3px;" data-block-id="d36302549d5ce103d84a50f2ff7e98f0" data-name="text-c45165"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 13;">
<p>Photonic binary tree in H-tree config can be used to generate a 2D image</p>
</div></div>
<div class="sl-block" data-block-type="image" style="width: 370.129px; height: 392px; left: 491.451px; top: 235.3px; min-width: 1px; min-height: 1px;" data-name="image-e3f811" data-block-id="3e17d2ad1045e34dd7b67bb1da01f73e"><div class="sl-block-content" style="z-index: 14;"><img style="" data-natural-width="880" data-natural-height="932" data-lazy-loaded="" data-src="deck-f35950/9c2587d613d9ead8d306a7db70bb04fd.png"></div></div>
<div class="sl-block" data-block-type="math" style="width: auto; height: auto; left: 981px; top: 263.3px;" data-name="math-ebbb3f" data-block-id="654481e86ef06569f512f55751ab4674"><div class="sl-block-content notranslate" style="z-index: 15;"><div class="math-input">N = \frac{A_TA_R}{L^2\lambda^2}</div></div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 1027px; top: 481.3px;" data-name="line-c6d66c" data-block-id="efc2b808cc58c2de4389e3e14e2de2e0"><div class="sl-block-content" data-line-x1="0" data-line-y1="146" data-line-x2="99.5" data-line-y2="0" data-line-color="#000000" data-line-start-type="line-arrow" data-line-end-type="line-arrow" style="z-index: 16;"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="99.5" height="146" viewbox="0 0 99.5 146"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="1.1263223740375035" y1="144.34730586322135" x2="98.38642739571382" y2="1.6339859319173982"></line><line class="line-element" stroke="#000000" stroke-width="2" x1="1.1263223740375035" y1="144.34730586322135" x2="98.38642739571382" y2="1.6339859319173982"></line><path style="fill: rgba(0,0,0,0);" stroke="#000000" stroke-width="2" transform="translate(1.1263223740375035,144.34730586322135) rotate(34.275)" d="M -6 -6 L 0 0 L 6 -6"></path><path style="fill: rgba(0,0,0,0);" stroke="#000000" stroke-width="2" transform="translate(98.38642739571382,1.6339859319173982) rotate(34.275)" d="M 6 6 L 0 0 L -6 6"></path></svg></div></div>
<div class="sl-block" data-block-type="shape" style="width: 139px; height: 241px; left: 888px; top: 386.3px;" data-name="shape-347e0d" data-block-id="c49143cadd508f80b1646ba0a76f75c9"><div class="sl-block-content" data-shape-type="rect" data-shape-fill-color="rgb(255, 255, 255)" data-shape-stretch="true" style="z-index: 17;" data-shape-stroke-color="#000000" data-shape-stroke-width="4px"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" width="100%" height="100%" preserveaspectratio="none" viewbox="0 0 139 241"><defs><clippath id="shape-mask-1-1636554552305"><rect width="139" height="241" rx="0" ry="0" fill="rgb(255, 255, 255)" stroke="#000000" stroke-width="8"></rect></clippath></defs><rect width="139" height="241" rx="0" ry="0" class="shape-element" fill="rgb(255, 255, 255)" stroke="#000000" stroke-width="8" clip-path="url(#shape-mask-1-1636554552305)"></rect></svg></div></div>
<div class="sl-block" data-block-type="shape" style="width: 135px; height: 95px; left: 1126.5px; top: 386.3px;" data-name="shape-5c43dd" data-block-id="fb31b89ae04ce5b6140103f313b849e2"><div class="sl-block-content" data-shape-type="rect" data-shape-fill-color="rgb(255, 255, 255)" data-shape-stretch="true" style="z-index: 18;" data-shape-stroke-color="#000000" data-shape-stroke-width="4px"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" width="100%" height="100%" preserveaspectratio="none" viewbox="0 0 135 95"><defs><clippath id="shape-mask-2-1636554561312"><rect width="135" height="95" rx="0" ry="0" fill="rgb(255, 255, 255)" stroke="#000000" stroke-width="8"></rect></clippath></defs><rect width="135" height="95" rx="0" ry="0" class="shape-element" fill="rgb(255, 255, 255)" stroke="#000000" stroke-width="8" clip-path="url(#shape-mask-2-1636554561312)"></rect></svg></div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 1027px; top: 386.3px;" data-name="line-354c41" data-block-id="6ed1119d778046d7a95c6d01380e61a4"><div class="sl-block-content" data-line-x1="0" data-line-y1="0" data-line-x2="99.5" data-line-y2="0" data-line-color="#000000" data-line-start-type="line-arrow" data-line-end-type="line-arrow" style="z-index: 19;"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="99.5" height="1" viewbox="0 0 99.5 1"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="2" y1="0" x2="97.54020100502512" y2="0"></line><line class="line-element" stroke="#000000" stroke-width="2" x1="2" y1="0" x2="97.54020100502512" y2="0"></line><path style="fill: rgba(0,0,0,0);" stroke="#000000" stroke-width="2" transform="translate(2,0) rotate(90)" d="M -6 -6 L 0 0 L 6 -6"></path><path style="fill: rgba(0,0,0,0);" stroke="#000000" stroke-width="2" transform="translate(97.54020100502512,0) rotate(90)" d="M 6 6 L 0 0 L -6 6"></path></svg></div></div>
<div class="sl-block" data-block-type="math" style="width: auto; height: auto; left: 925px; top: 455.3px;" data-name="math-fe5d80" data-block-id="76eb9c12081c702ee67c2a7710b3d25c"><div class="sl-block-content notranslate" style="z-index: 20;"><div class="math-input">A_T</div></div></div>
<div class="sl-block" data-block-type="math" style="width: auto; height: auto; left: 1167.5px; top: 397.3px;" data-name="math-5cfeae" data-block-id="209e032873f15439dee2a1fda1b4b405"><div class="sl-block-content notranslate" style="z-index: 21;"><div class="math-input">A_R</div></div></div>
<div class="sl-block" data-block-type="math" style="width: auto; height: auto; left: 1059.75px; top: 397.3px;" data-name="math-2fd618" data-block-id="a41ee512361f522621c0b7f978cf92ec"><div class="sl-block-content notranslate" style="z-index: 22;"><div class="math-input">L</div></div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 600px; left: 350px; top: 647.5px;" data-name="text-b376b6" data-block-id="7cfb943682ba5b45fd76b0ef7ee2e207"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 23; font-size: 50%;">
<p>Miller, Attojoule Optoelectronics..., <em>JLT, </em>2016</p>
</div></div></section></section><section data-id="a6329a8361b66c82d6070d465066b32a"><div class="sl-block" data-block-type="text" style="width: 806px; left: 207px; top: 14px; height: auto;" data-name="text-f88eb1" data-block-id="86bff39b6cafc45e67963f2ca420dea4"><div class="sl-block-content" data-placeholder-tag="h2" data-placeholder-text="Title Text" style="z-index: 11;">
<h2>Programmable photonics model</h2>
</div></div>
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<div class="sl-block" data-block-type="image" style="width: 741.938px; height: 319.634px; left: 241.031px; top: 116.205px; min-width: 1px; min-height: 1px;" data-name="image-c8e26c" data-block-id="f5a6adf451f49fc3f384595ed8d8521d"><div class="sl-block-content" style="z-index: 10;"><img style="" data-natural-width="2298" data-natural-height="990" data-lazy-loaded="" data-src="deck-f35950/12f8a473a879c2274bddd64590cbd1b0.png"></div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 435.258px; left: 174.742px; top: 516px;" data-name="text-8054c8" data-block-id="5f7435a2666dec5cd4dee4f26fdcae7c"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 15; text-align: left;">
<p>Machine learning / AI (this talk)</p>
<p>Cryptography / blockchain</p>
<p>Quantum computing</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 475.5px; left: 759.932px; top: 516px;" data-name="text-18eb9f" data-block-id="ebdc8491d004a679b37ab7fac5a359a9"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 16; text-align: left;">
<p>LIDAR (self-driving cars)</p>
<p>Telecom (LiFi, optical phased arrays)</p>
<p>Imaging and biochemical sensing</p>
<p>Augmented / virtual reality</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 600px; left: 341.087px; top: 464.5px;" data-name="text-a9cd64" data-block-id="89fb38a91ec28d7537cc084f82bd791d"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 17;">
<p>All of these applications follow this model:</p>
</div></div>
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<h2>Programmable photonics applications</h2>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 1071px; left: 104.5px; top: 108px;" data-name="text-1e5a9b" data-block-id="7a45cb8d79dac2c9f19b18116e4fb4b5"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 11; font-size: 150%;" dir="ui">
<p><strong> </strong><strong>This talk:</strong> how can we perform these applications in a scalable manner in the presence of error?</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 343.169px; left: 193.497px; top: 249px;" data-name="text-002d14" data-block-id="dee3ff42d48199e5af5406e1dce09cc9"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 12; text-align: left;">
<p><strong>Photonic matrix multiply</strong></p>
</div></div>
<div class="sl-block" data-block-type="image" style="width: 402.838px; height: 174.112px; left: 163.662px; top: 318px; min-width: 1px; min-height: 1px;" data-name="image-ca1f98" data-block-id="34ca240851bfbb93c9351766e7d4e55b"><div class="sl-block-content" style="z-index: 13;"><img style="" data-natural-width="1726" data-natural-height="746" data-lazy-loaded="" data-src="deck-f35950/84f09e7906a55a346967f958c32168aa.png"></div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 403px; left: 706.771px; top: 249px;" data-name="text-fd830e" data-block-id="87ed3b9af64165098c4dbead1a069c78"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 14; text-align: left;">
<p><strong>Sensing and communications</strong></p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 499.5px; left: 174.742px; top: 516px;" data-name="text-8054c8" data-block-id="a28a99c7eb861a1e7198d204b3b808bd"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 15; text-align: left;">
<p><strong><span style="color:#008000">Machine learning / AI * (this talk)</span></strong></p>
<p><span style="color:#008000">Cryptography / blockchain *</span></p>
<p>Quantum computing</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 320px; left: 174.742px; top: 667px;" data-name="text-2600ff" data-block-id="baf7e5504b16492d66b8458d65654db7"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 22; color: rgb(39, 78, 19);">
<p><span style="color:#008000">Our experimental focus *</span></p>
</div></div>
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</div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 901px; top: 425.779px;" data-name="line-bdfd49" data-block-id="2a4dabef6ad3ddb7b7d1362b1b9100ab"><div class="sl-block-content" data-line-x1="0" data-line-y1="1" data-line-x2="29" data-line-y2="0" data-line-color="#000000" data-line-start-type="line-arrow" data-line-end-type="line-arrow" style="z-index: 23;"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="29" height="1" viewbox="0 0 29 1"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="1.998811998707175" y1="0.9310754483204422" x2="27.138955222195438" y2="0.06417395785532973"></line><line class="line-element" stroke="#000000" stroke-width="2" x1="1.998811998707175" y1="0.9310754483204422" x2="27.138955222195438" y2="0.06417395785532973"></line><path style="fill: rgba(0,0,0,0);" stroke="#000000" stroke-width="2" transform="translate(1.998811998707175,0.9310754483204422) rotate(88.025)" d="M -6 -6 L 0 0 L 6 -6"></path><path style="fill: rgba(0,0,0,0);" stroke="#000000" stroke-width="2" transform="translate(27.138955222195438,0.06417395785532973) rotate(88.025)" d="M 6 6 L 0 0 L -6 6"></path></svg></div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 901px; top: 440.779px;" data-block-id="fc13ffb7ba4a3d23d5b859b60da174ba" data-name="line-573675"><div class="sl-block-content" data-line-x1="0" data-line-y1="1" data-line-x2="29" data-line-y2="0" data-line-color="#000000" data-line-start-type="line-arrow" data-line-end-type="line-arrow" style="z-index: 24;"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="29" height="1" viewbox="0 0 29 1"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="1.998811998707175" y1="0.9310754483204422" x2="27.138955222195438" y2="0.06417395785532973"></line><line class="line-element" stroke="#000000" stroke-width="2" x1="1.998811998707175" y1="0.9310754483204422" x2="27.138955222195438" y2="0.06417395785532973"></line><path style="fill: rgba(0,0,0,0);" stroke="#000000" stroke-width="2" transform="translate(1.998811998707175,0.9310754483204422) rotate(88.025)" d="M -6 -6 L 0 0 L 6 -6"></path><path style="fill: rgba(0,0,0,0);" stroke="#000000" stroke-width="2" transform="translate(27.138955222195438,0.06417395785532973) rotate(88.025)" d="M 6 6 L 0 0 L -6 6"></path></svg></div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 475.5px; left: 759.932px; top: 516px;" data-name="text-18eb9f" data-block-id="67c7f42478ac015e31356b4d8f9f4d64"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 25; text-align: left;">
<p>LIDAR (self-driving cars)</p>
<p>Telecom (LiFi, optical phased arrays)</p>
<p>Imaging and biochemical sensing</p>
<p>Augmented / virtual reality</p>
</div></div></section><section data-id="879eb8a62012b6672456fe1f21cb9258"><div class="sl-block" data-block-type="text" style="width: 960px; left: 128px; top: 84px; height: auto;" data-name="text-f88eb1" data-block-id="6f25b369d54accc820a5a6c62570bbe9"><div class="sl-block-content" data-placeholder-tag="h2" data-placeholder-text="Title Text" style="z-index: 10;">
<h2>Outline</h2>
</div></div>
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<ol>
<li>Nanophotonic processors<br>
</li>
<li>Error tolerance in binary tree meshes<br>
</li>
<li>Photonic machine learning<br>
</li>
<li>Conclusion<br>
</li>
<li>Questions<br>
</li>
<li>Reflections and acknowledgements</li>
</ol>
</div></div></div>
</section><section data-id="178527bb96be17f02a0fe95e33736fb3"><div class="sl-block" data-block-type="text" style="width: 960px; left: 128px; top: 84px; height: auto;" data-name="text-f88eb1" data-block-id="8a9991d319a09356a2661ce06954c2fe"><div class="sl-block-content" data-placeholder-tag="h2" data-placeholder-text="Title Text" style="z-index: 10;">
<h2>Outline</h2>
</div></div>
<div class="sl-block" data-block-type="text" style="width: 690px; left: 263px; top: 199.539px; height: auto;" data-name="text-5d14ce" data-block-id="4bdcf4f28a5b56c99008e3e6cea2ecf9"><div class="sl-block-style" style="z-index: 11; transform: rotate(0deg);"><div class="sl-block-content" data-placeholder-tag="h2" data-placeholder-text="Title Text" style="z-index: 11;" dir="ui">
<ol>
<li>
<strong>Nanophotonic processors</strong><br>
</li>
<li>Error tolerance in binary tree meshes<br>
</li>
<li>Photonic machine learning<br>
</li>
<li>Conclusion<br>
</li>
<li>Questions<br>
</li>
<li>Reflections and acknowledgements</li>
</ol>
</div></div></div>
</section><section data-id="081ddfaf5c0af2c40f4eb7537cee4a4a"><div class="sl-block" data-block-type="text" style="width: 806px; left: 237px; top: 311px; height: auto;" data-block-id="c27230f3950a05f2b6f0942e6bbb27b8"><div class="sl-block-content" data-placeholder-tag="h1" data-placeholder-text="Title Text" style="z-index: 10;">
<h1>Nanophotonic processors</h1>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 600px; left: 340px; top: 427.5px;" data-name="text-1cd14d" data-block-id="1c8ea7429452a96cb2477ae7453b6d6a"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 11;">
<p>How does this tech work?</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 600px; left: 340px; top: 487.5px;" data-block-id="fca6405e7d99b5c81ae7c243ebb5d8b5" data-name="text-e0138d"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 12;">
<p>What do we have in the lab?</p>
</div></div></section><section class="stack" data-id="b5a0c6ec9c82335179d7a99d0eaef457"><section data-id="f49d4dfdeb99dd24e67d4285607ca3ee"><div class="sl-block" data-block-type="text" style="width: 960px; left: 135.33px; top: 36px; height: auto;" data-name="text-f88eb1" data-block-id="a52129b572b65c275987fe09e5d36b5b"><div class="sl-block-content" data-placeholder-tag="h2" data-placeholder-text="Title Text" style="z-index: 10;">
<h2>Waveguides</h2>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 472px; left: 584.187px; top: 153px;" data-name="text-93d4d8" data-block-id="081d0aec2b7f294cdf97395d04aa94ca"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 11;">
<p>Waveguides guide / confine<strong> </strong>light</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 243px; left: 128.786px; top: 114px;" data-block-id="da0feb3bc35ae6108d402291970acb28" data-name="text-a023f4"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 12;">
<p>Light is a wave</p>
</div></div>
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<p>1D</p>
</div></div>
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<p>2D</p>
</div></div>
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</div></div>
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<p>source</p>
</div></div>
</div></div>
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<div class="sl-block" data-block-type="iframe" style="width: 353.187px; height: 326px; left: 830.722px; top: 230.64px;" data-name="iframe-6f4f57" data-block-id="5a973f8bb98755b8b7e1b98b54ebe032"><div class="sl-block-content" style="z-index: 20;"><iframe allowfullscreen="" allow="fullscreen" sandbox="allow-forms allow-scripts allow-popups allow-same-origin allow-pointer-lock allow-presentation" data-preload="true" data-lazy-loaded="" data-src="https://sketchfab.com/models/e43181b22df9486e9d26be1f07d8ff16/embed?autostart=1&camera=0"></iframe></div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 62.6048px; left: 993.582px; top: 245.056px;" data-block-id="1df80cd6b9d0f73a65bc1bd65639b516" data-name="text-e44a49"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 21;">
<p><span style="font-size:0.7em">Oxide</span></p>
</div></div>
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<p><span style="font-size:0.7em">Silicon</span></p>
</div></div>
</div></div>
</div></div>
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<p>2D waveguide simulation solving Maxwell's equations</p>
<p>(using 2D FDFD)</p>
</div></div>
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</div></div>
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<p>Field value</p>
</div></div></div></section><section data-id="faea8fee169b2cf8fddc89f1194120c6"><div class="sl-block" data-block-type="text" style="width: 960px; left: 128px; top: 41px; height: auto;" data-name="text-f88eb1" data-block-id="4bd0142a34232a2c19258ad38dcfa10a"><div class="sl-block-content" data-placeholder-tag="h2" data-placeholder-text="Title Text" style="z-index: 10;">
<h2>Waveguides and modes</h2>
</div></div>
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<p>Waveguides guide / confine<strong> </strong>light</p>
</div></div>
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<div class="sl-block" data-block-type="video" style="width: 675.394px; height: 311.666px; left: 495.028px; top: 401.334px;" data-name="video-9980ba" data-block-id="56cb2ae8deb5b1b6ed60dc10fcaab672"><div class="sl-block-content" style="z-index: 13;" data-media-id="9416124" data-video-thumb="deck-f35950/da9c7630fa2fbcbe2542dd118546affb.jpg"><video playsinline="" data-autoplay="" loop="loop" poster="deck-f35950/da9c7630fa2fbcbe2542dd118546affb.jpg" data-lazy-loaded="" data-paused-by-reveal="" data-src="deck-f35950/229e1c44d737060b32401989fa003099.mp4"></video></div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 146px; left: 846.725px; top: 223px;" data-name="text-e44a49" data-block-id="6b3e9abb4a7c0651481c2d6b8f85ef3b"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 14;">
<p><span style="font-size:0.7em">Oxide</span></p>
</div></div>
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<p><span style="font-size:0.7em">Silicon</span></p>
</div></div>
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<p><strong>Degrees of freedom:</strong></p>
<ol>
<li>Power \(p \in \mathbb{R}^+\)</li>
<li>Phase \(\theta \in [0, 2\pi)\)</li>
</ol>
<p>\(\theta(x, t) = k_x x - \omega t\)</p>
<p> </p>
<p><strong>Field and power</strong>:</p>
<ol>
<li>Field:<br>
\(h = \sqrt{p}e^{i\theta(x, t)}\Psi(y, z)\)</li>
<li>Power density:<br>
\(s = p|\Psi(y, z)|^2\)</li>
</ol>
<p> </p>
<p><strong>Phasor:</strong> \(\sqrt{p}e^{i\theta}\)</p>
</div></div>
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<p>\(\Psi(y, z)\)</p>
</div></div>
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<p>\(\sqrt{p}e^{i\theta}\)</p>
</div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; left: 670.028px; top: 487.615px;" data-name="line-a9b386" data-block-id="c472cd2b3a7595f4bd3e85eb29e6de88"><div class="sl-block-content" data-line-x1="0" data-line-y1="117.11500000000001" data-line-x2="0" data-line-y2="0" data-line-color="#000000" data-line-start-type="none" data-line-end-type="none" style="z-index: 19;" data-line-width="4px"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="1" height="117.11500000000001" viewbox="0 0 1 117.11500000000001"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="0" y1="117.11500000000001" x2="0" y2="0"></line><line class="line-element" stroke="#000000" stroke-width="4" x1="0" y1="117.11500000000001" x2="0" y2="0"></line></svg></div></div></section></section><section data-id="ed93ef544d92ec0cef854c9022c4a4e2"><div class="sl-block" data-block-type="text" style="width: 960px; left: 148.687px; top: 33px; height: auto;" data-name="text-f88eb1" data-block-id="0fceabddfc893002986291ac6c2cb147"><div class="sl-block-content" data-placeholder-tag="h2" data-placeholder-text="Title Text" style="z-index: 10;">
<h2>Waveguide mode \(\to\) complex number</h2>
</div></div>
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<p><strong>Degrees of freedom:</strong></p>
<ol>
<li>Power \(p \in \mathbb{R}^+\)</li>
<li>Phase \(\theta \in [0, 2\pi)\)</li>
</ol>
<p> </p>
<p><strong>Phasor field:</strong> \(x = \sqrt{p}e^{i\theta}\)</p>
<p> </p>
<p><strong>Assumptions:</strong></p>
<p>Coherent, single wavelength (\(\lambda\))</p>
<p>Single mode waveguide</p>
</div></div>
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<div class="sl-block" data-block-type="text" style="height: auto; width: 58px; left: 1144.24px; top: 320.82px;" data-name="text-3f7a39" data-origin-id="b90608e8b226ec45d29b86ff76c1268a" data-block-id="a225792154bf8169c442c5ef40015f7e"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 19;">
<p>3D</p>
</div></div>
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<p>\(x = \sqrt{p}e^{i\theta}\)</p>
</div></div>
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<p>monitor</p>
</div></div>
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<p>source</p>
</div></div>
<div class="sl-block" data-block-type="iframe" style="width: 353.187px; height: 326px; left: 849.056px; top: 320.82px;" data-name="iframe-6f4f57" data-origin-id="5a973f8bb98755b8b7e1b98b54ebe032" data-block-id="d62d6c93e3040406878c00027650d70f"><div class="sl-block-content" style="z-index: 16;"><iframe allowfullscreen="" allow="fullscreen" sandbox="allow-forms allow-scripts allow-popups allow-same-origin allow-pointer-lock allow-presentation" data-preload="true" data-lazy-loaded="" data-src="https://sketchfab.com/models/e43181b22df9486e9d26be1f07d8ff16/embed?autostart=1&camera=0"></iframe></div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 62.6048px; left: 1011.92px; top: 335.236px;" data-name="text-e44a49" data-origin-id="1df80cd6b9d0f73a65bc1bd65639b516" data-block-id="1083b8a31aa929bd5264c3db185b53e8"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 17;">
<p><span style="font-size:0.7em">Oxide</span></p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 62.6048px; left: 932.588px; top: 439.236px;" data-name="text-e0e9d5" data-origin-id="28814b4990596fe78f7d2c3de23299a3" data-block-id="43173f389982586674e57fe19807d5a9"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 18;">
<p><span style="font-size:0.7em">Silicon</span></p>
</div></div>
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<div class="sl-block" data-block-type="line" data-name="line-876621" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 602.521px; top: 438.459px;" data-origin-id="9321e999552edcaddaf969624c8cec48" data-block-id="bb4d9a6f046ade0516aa7363701c75f2"><div class="sl-block-content" data-line-x1="0" data-line-y1="79.55465587044534" data-line-x2="0" data-line-y2="0" data-line-color="#000000" data-line-start-type="none" data-line-end-type="none" style="z-index: 14;" data-line-width="5px"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="1" height="79.55465587044534" viewbox="0 0 1 79.55465587044534"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="0.5" y1="80.05465587044534" x2="0.5" y2="0.5"></line><line class="line-element" stroke="#000000" stroke-width="5" x1="0.5" y1="80.05465587044534" x2="0.5" y2="0.5"></line></svg></div></div>
</div></div>
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<ol>
<li>Light (an electromagnetic field) represented using complex numbers \(x\) (phase, power).<br>
</li>
<li>Drop the waveguide mode (electric or magnetic "field profile") of the light field.</li>
</ol>
</div></div>
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<p>"real part"</p>
</div></div></section><section class="stack" data-id="be68534acf98c34913970933ac03aad3"><section data-id="bc86dc89897e5cd349d8fa27262f54c5">
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<h2>A 50/50 coupler/splitter</h2>
</div></div>
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<p>50/50 coupler and splitter</p>
</div></div>
<div class="sl-block" data-block-type="iframe" style="width: 459px; height: 199px; left: 694.008px; top: 161px;" data-name="iframe-49c018" data-block-id="b740aa2581446e86b5c4bba4e9c2552b"><div class="sl-block-content" style="z-index: 24;"><iframe allowfullscreen="" allow="fullscreen" sandbox="allow-forms allow-scripts allow-popups allow-same-origin allow-pointer-lock allow-presentation" data-preload="true" data-lazy-loaded="" data-src="https://sketchfab.com/models/26e127f276d04b7caf126c2376ba6694/embed?autostart=1&camera=0"></iframe></div></div>
<div class="sl-block sl-block-group" data-block-type="group" data-name="group-cb1842" style="height: auto;" data-block-id="e62f5ec9d4d689ba25cccc129b00bcd4"><div class="sl-block-content sl-block-group-content" style="transform-origin: 955.904px 246.865px 0px; z-index: 13; transition-duration: 0.6s;" data-animation-type="fade-out" data-animation-trigger="hover" data-animation-trigger-id="b740aa2581446e86b5c4bba4e9c2552b">
<div class="sl-block" data-block-type="text" style="height: auto; width: 146px; left: 1007.01px; top: 161px;" data-name="text-e44a49" data-origin-id="4b6a2711905fd66294d5289b6eed0135" data-block-id="9bc50c10cf2c0f845b24a7f7e77a3201"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 14;">
<p><span style="font-size:0.7em">Oxide</span></p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 146px; left: 758.797px; top: 293.729px;" data-name="text-e0e9d5" data-origin-id="abb9fbccf35de325c3980f590a1ec233" data-block-id="49d0978db652a823b1582397424f748c"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 15;">
<p><span style="font-size:0.7em">Silicon</span></p>
</div></div>
</div></div>
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<p><span style="color:#B22222"><span style="font-size:0.7em">Differential phase \(\theta\)</span></span></p>
</div></div>
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<p><span style="font-size:0.7em">Interaction</span></p>
</div></div>
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<p>Coherent light interference or coupling depends on <span style="font-size:1.0em"><span style="color:#B22222">differential phase \(\theta\)</span></span></p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 261px; left: 254.5px; top: 614.207px;" data-block-id="93c5f66100ce2b2fc1ff13dd05db3625" data-name="text-8aa79c"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 23; font-size: 59%;">
<p>Same power for modes <span style="color:#B22222">\(\bm{x}\)</span> and <span style="color:#0000CD">\(\bm{y}\)</span>.</p>
</div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; left: 194px; top: 459.5px;" data-name="line-a9b386" data-origin-id="d3676e702665072bd11bb63a9d5868c4" data-block-id="49c1be546985bc111b26d9867e464d86"><div class="sl-block-content" data-line-x1="0" data-line-y1="141.115" data-line-x2="0" data-line-y2="0" data-line-color="#a61c00" data-line-start-type="none" data-line-end-type="none" style="z-index: 18;" data-line-width="4px"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="1" height="141.115" viewbox="0 0 1 141.115"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="0" y1="141.115" x2="0" y2="0"></line><line class="line-element" stroke="#a61c00" stroke-width="4" x1="0" y1="141.115" x2="0" y2="0"></line></svg></div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; left: 592px; top: 458.586px;" data-name="line-f1b99e" data-origin-id="51bf687164eb2d398d4a63f579f1dcb1" data-block-id="5cf5eccc349662c36cd136a341ab40ad"><div class="sl-block-content" data-line-x1="0" data-line-y1="141.115" data-line-x2="0" data-line-y2="0" data-line-color="#3c78d8" data-line-start-type="none" data-line-end-type="none" style="z-index: 19;" data-line-width="4px"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="1" height="141.115" viewbox="0 0 1 141.115"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="0" y1="141.115" x2="0" y2="0"></line><line class="line-element" stroke="#3c78d8" stroke-width="4" x1="0" y1="141.115" x2="0" y2="0"></line></svg></div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 52px; left: 566px; top: 595.207px;" data-name="text-5b6ed5" data-origin-id="c9b715abb36cb70840e7140e50b74e54" data-block-id="797e544751bc5c07f60a806746324c4d"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 20; color: rgb(60, 120, 216);">
<p><span style="font-size:0.7em">\(\boldsymbol{y}\)</span></p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 52px; left: 168px; top: 595.701px;" data-name="text-5c8423" data-origin-id="fe29cfb221589a4912e67150f11418ef" data-block-id="9051704f7ab9eabd2785915afc77dbd6"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 21; color: rgb(166, 28, 0);">
<p><span style="font-size:0.7em">\(\boldsymbol{x}\)</span></p>
</div></div>
<div class="sl-block" data-block-type="video" style="min-width: 30px; min-height: 30px; width: 1059.54px; height: 349.794px; left: 93.469px; top: 370.206px;" data-name="video-c4c852" data-block-id="02e55414e3f39c74c5bab29d36162c9d"><div class="sl-block-content" style="z-index: 10;" data-media-id="9434261" data-video-thumb="deck-f35950/05f7e62609bf686eca7cf1d5562051a2.jpg"><video playsinline="" poster="deck-f35950/05f7e62609bf686eca7cf1d5562051a2.jpg" data-paused-by-reveal="" data-lazy-loaded="" data-autoplay="" loop="loop" data-src="deck-f35950/c04ae7061a56289cd28ab12473a70538.mp4"></video></div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 234px; left: 800.797px; top: 556.701px;" data-block-id="c83e3a9fda5998f3b976927b03769f98" data-name="text-b314cb"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 25; color: rgb(255, 255, 255);">
<p><span style="font-size:0.7em">Interaction</span></p>
</div></div></section><section data-id="4a46fbb6ef3e0a215c1e47abd4f92faa"><div class="sl-block" data-block-type="text" style="width: 960px; left: 128px; top: 27px; height: auto;" data-name="text-f88eb1" data-block-id="a716e7ad9335be219ad9806e73961ea9"><div class="sl-block-content" data-placeholder-tag="h2" data-placeholder-text="Title Text" style="z-index: 10;">
<h2>A 50/50 coupler/splitter</h2>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 364px; left: 636.028px; top: 122.5px;" data-name="text-93d4d8" data-block-id="32109ad5e376462cc7a8eeb98ed7f55a"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 11;">
<p>50/50 coupler and splitter</p>
</div></div>
<div class="sl-block" data-block-type="iframe" style="width: 459px; height: 199px; left: 594.239px; top: 161.5px;" data-name="iframe-49c018" data-block-id="99f4eed7226cf3fe16704474474bbfd3"><div class="sl-block-content" style="z-index: 23;"><iframe allowfullscreen="" allow="fullscreen" sandbox="allow-forms allow-scripts allow-popups allow-same-origin allow-pointer-lock allow-presentation" data-preload="true" data-lazy-loaded="" data-src="https://sketchfab.com/models/26e127f276d04b7caf126c2376ba6694/embed?autostart=1&camera=0"></iframe></div></div>
<div class="sl-block sl-block-group" data-block-type="group" data-name="group-cb1842" style="height: auto;" data-block-id="5fe88e562064acc1b537b7d4a0faef97"><div class="sl-block-content sl-block-group-content" style="transform-origin: 856.134px 247.365px 0px; z-index: 12; transition-duration: 0.6s;" data-animation-type="fade-out" data-animation-trigger="hover" data-animation-trigger-id="99f4eed7226cf3fe16704474474bbfd3">
<div class="sl-block" data-block-type="text" style="height: auto; width: 146px; left: 907.239px; top: 161.5px;" data-name="text-e44a49" data-block-id="4b6a2711905fd66294d5289b6eed0135"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 13;">
<p><span style="font-size:0.7em">Oxide</span></p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 146px; left: 659.028px; top: 294.229px;" data-name="text-e0e9d5" data-block-id="abb9fbccf35de325c3980f590a1ec233"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 14;">
<p><span style="font-size:0.7em">Silicon</span></p>
</div></div>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 234px; left: 180px; top: 407.5px;" data-name="text-244721" data-block-id="ad4ced756ee0a9d0cf7146c2cddc780e"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 15;">
<p><span style="color:#B22222"><span style="font-size:0.7em">Differential phase \(\theta\)</span></span></p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 234px; left: 273.777px; top: 518.5px;" data-name="text-e55910" data-block-id="b9697286044a5bbb496708f2c686f364"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 16;">
<p><span style="font-size:0.7em">Interaction</span></p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 377.777px; left: 180px; top: 161.5px;" data-name="text-fa582d" data-block-id="aac241103529633499edc4d247709e90"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 24;">
<p>\(\color{darkblue}\begin{bmatrix}y_1 \\ y_2 \end{bmatrix} \color{black} = \frac{1}{\sqrt{2}}\begin{bmatrix}1 & i \\ i & 1 \end{bmatrix}\color{darkred}\begin{bmatrix}x_1 \\ x_2 \end{bmatrix}\)</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 220px; left: 259px; top: 285px;" data-name="text-8a44a0" data-block-id="399a54498abf55fa950031992df61348"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 25;">
<p>\(\color{darkred} \begin{bmatrix}x_1 \\ x_2 \end{bmatrix} = \frac{1}{\sqrt{2}}\begin{bmatrix} e^{i\theta} \\ 1 \end{bmatrix}\)</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 123px; left: 311px; top: 241.5px;" data-name="text-feb44b" data-block-id="1f9488660212b9c4cebe683ff84162c3"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 26;">
<p>Phasor:</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 241px; left: 252px; top: 120.5px;" data-name="text-43a62a" data-block-id="d5a90498033a1766bd8e43dd76958cbf"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 27;">
<p>Device operator:</p>
</div></div>
<div class="sl-block sl-block-group" data-block-type="group" data-name="group-cd1a16" data-block-id="5f23856419bb35839ca1b647883f80fb" style="width: auto; height: auto;"><div class="sl-block-content sl-block-group-content" style="transform-origin: 594.239px 504.379px 0px; z-index: 17;">
<div class="sl-block" data-block-type="video" style="width: 932.478px; height: 430.3px; left: 128px; top: 289.229px;" data-name="video-fe29f2" data-block-id="eed2eab4d3e360251a950ba0cc739139"><div class="sl-block-content" style="z-index: 18;" data-media-id="9417472" data-video-thumb="deck-f35950/8d895b3cca3f2f655a61eaedc867aafd.jpg"><video playsinline="" poster="deck-f35950/8d895b3cca3f2f655a61eaedc867aafd.jpg" data-autoplay="" loop="loop" data-paused-by-reveal="" data-lazy-loaded="" data-src="deck-f35950/97eeea11a8b3a2827a1aecf8dd531b85.mp4"></video></div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; left: 233px; top: 448.5px;" data-name="line-a9b386" data-block-id="d3676e702665072bd11bb63a9d5868c4"><div class="sl-block-content" data-line-x1="0" data-line-y1="117.11500000000001" data-line-x2="0" data-line-y2="0" data-line-color="#a61c00" data-line-start-type="none" data-line-end-type="none" style="z-index: 19;" data-line-width="4px"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="1" height="117.11500000000001" viewbox="0 0 1 117.11500000000001"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="0" y1="117.11500000000001" x2="0" y2="0"></line><line class="line-element" stroke="#a61c00" stroke-width="4" x1="0" y1="117.11500000000001" x2="0" y2="0"></line></svg></div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; left: 566px; top: 445.879px;" data-name="line-f1b99e" data-block-id="51bf687164eb2d398d4a63f579f1dcb1"><div class="sl-block-content" data-line-x1="0" data-line-y1="117.11500000000001" data-line-x2="0" data-line-y2="0" data-line-color="#3c78d8" data-line-start-type="none" data-line-end-type="none" style="z-index: 20;" data-line-width="4px"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="1" height="117.11500000000001" viewbox="0 0 1 117.11500000000001"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="0" y1="117.11500000000001" x2="0" y2="0"></line><line class="line-element" stroke="#3c78d8" stroke-width="4" x1="0" y1="117.11500000000001" x2="0" y2="0"></line></svg></div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 52px; left: 540px; top: 557.5px;" data-name="text-5b6ed5" data-block-id="c9b715abb36cb70840e7140e50b74e54"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 21; color: rgb(60, 120, 216);">
<p><span style="font-size:0.7em">\(\boldsymbol{y}\)</span></p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 52px; left: 207px; top: 559.5px;" data-name="text-5c8423" data-block-id="fe29cfb221589a4912e67150f11418ef"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 22; color: rgb(166, 28, 0);">
<p><span style="font-size:0.7em">\(\boldsymbol{x}\)</span></p>
</div></div>
</div></div></section><section data-id="862544fd27cd51ab3c812d231ecd05da"><div class="sl-block" data-block-type="text" style="width: 960px; left: 148.687px; top: 33px; height: auto;" data-name="text-f88eb1" data-block-id="a4a9b5ea0cedb5420fe157981eec610d"><div class="sl-block-content" data-placeholder-tag="h2" data-placeholder-text="Title Text" style="z-index: 10;">
<h2>Coupled modes</h2>
</div></div>
<div class="sl-block" data-block-type="image" style="width: 619.392px; height: 283.682px; left: 41.445px; top: 114.76px; min-width: 1px; min-height: 1px;" data-name="image-c27ed8" data-block-id="d5ca61d1bbabe9b7abd1139b52833fa1"><div class="sl-block-content" style="z-index: 11;"><img style="" data-natural-width="2500" data-natural-height="1145" data-lazy-loaded="" data-src="deck-f35950/7305a624aea2e695d83aa639e8516eea.png"></div></div>
<div class="sl-block" data-block-type="image" style="width: 625.673px; height: 286.558px; left: 35.164px; top: 405.442px; min-width: 1px; min-height: 1px;" data-name="image-2a6c2b" data-block-id="0fa81d7cf06f950da9cb011057dd93b1"><div class="sl-block-content" style="z-index: 12;"><img style="" data-natural-width="2500" data-natural-height="1145" data-lazy-loaded="" data-src="deck-f35950/f9ac1fb11c2c48eea0c4f207a68f3063.png"></div></div>
<div class="sl-block sl-block-group" data-block-type="group" data-name="group-cd1a16" style="width: auto; height: auto;" data-block-id="25ba093faeff4a5635590b40b0e8e4b0"><div class="sl-block-content sl-block-group-content" style="transform-origin: 941px 360.001px 0px; z-index: 13;">
<div class="sl-block" data-block-type="video" style="width: 512px; height: 236.267px; left: 685px; top: 241.867px;" data-name="video-fe29f2" data-origin-id="eed2eab4d3e360251a950ba0cc739139" data-block-id="0d2c3123acf6b460962b4ae46dd47c28"><div class="sl-block-content" style="z-index: 14;" data-media-id="9417472" data-video-thumb="deck-f35950/8d895b3cca3f2f655a61eaedc867aafd.jpg"><video playsinline="" poster="deck-f35950/8d895b3cca3f2f655a61eaedc867aafd.jpg" data-autoplay="" loop="loop" data-paused-by-reveal="" data-lazy-loaded="" data-src="deck-f35950/97eeea11a8b3a2827a1aecf8dd531b85.mp4"></video></div></div>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 358px; left: 769.687px; top: 193.867px;" data-name="text-7efe3c" data-block-id="e0d5350f74fb012649cd45caf62540d8"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 15;" dir="ui"><p>Split ratio: \(\sin^2(\Delta \beta L_{\mathrm{int}})\)</p></div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 789px; top: 383.5px;" data-name="line-44b3dd" data-block-id="b159abea83ad32a85682287e9449604c"><div class="sl-block-content" data-line-x1="0" data-line-y1="0" data-line-x2="78" data-line-y2="0" data-line-color="#000000" data-line-start-type="line-arrow" data-line-end-type="line-arrow" style="z-index: 16;"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="78" height="1" viewbox="0 0 78 1"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="2" y1="0" x2="76.05128205128206" y2="0"></line><line class="line-element" stroke="#000000" stroke-width="2" x1="2" y1="0" x2="76.05128205128206" y2="0"></line><path style="fill: rgba(0,0,0,0);" stroke="#000000" stroke-width="2" transform="translate(2,0) rotate(90)" d="M -6 -6 L 0 0 L 6 -6"></path><path style="fill: rgba(0,0,0,0);" stroke="#000000" stroke-width="2" transform="translate(76.05128205128206,0) rotate(90)" d="M 6 6 L 0 0 L -6 6"></path></svg></div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 83px; left: 784px; top: 393.442px;" data-name="text-54f328" data-block-id="861c3ddde12c6782bc6f882ba92c20cf"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 17; font-size: 50%;">
<p>\(L_{\mathrm{int}}\)</p>
</div></div></section></section><section data-id="751c95060dde08a1eac178f9639d224c">
<div class="sl-block" data-block-type="iframe" style="width: 360px; height: 155.365px; left: 512.976px; top: 175.5px;" data-name="iframe-a9b443" data-block-id="bb4c70505d09013d61bc50563d21fb69"><div class="sl-block-content" style="z-index: 10;"><iframe allowfullscreen="" allow="fullscreen" sandbox="allow-forms allow-scripts allow-popups allow-same-origin allow-pointer-lock allow-presentation" data-lazy-loaded="" data-preload="true" data-src="https://sketchfab.com/models/453ad1ac0aa84ec8be2ca3f27f77b37b/embed?autostart=1&camera=0&ui_theme=dark"></iframe></div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 364px; left: 515.004px; top: 136.5px;" data-name="text-93d4d8" data-block-id="cb38767fff0c37334f2d58d1cc9931f9"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 11;">
<p>Thermal (resistive heating)</p>
</div></div>
<div class="sl-block sl-block-group" data-block-type="group" data-name="group-40ed48" data-block-id="5377e15fff717b86dd20e56dc0271d85" style="height: auto;"><div class="sl-block-content sl-block-group-content" style="transform-origin: 720.187px 261.75px; z-index: 12; transition-duration: 0.6s;" data-animation-type="fade-out" data-animation-trigger="hover" data-animation-trigger-id="bb4c70505d09013d61bc50563d21fb69">
<div class="sl-block" data-block-type="text" style="height: auto; width: 146px; left: 725.187px; top: 190.136px;" data-name="text-e44a49" data-block-id="d09a1c07902d1d3515409f97b54b8264"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 13;">
<p><span style="font-size:0.7em">Oxide</span></p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 146px; left: 578.187px; top: 294.5px;" data-name="text-e0e9d5" data-block-id="92ee0be251a6bad3ebc9082fdd7cdca6"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 14;">
<p><span style="font-size:0.7em">Silicon</span></p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 164px; left: 610.976px; top: 227.5px;" data-block-id="e7c61c9a034ecb8065e7858028719d83" data-name="text-133d23"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 15;">
<p><span style="font-size:0.7em">TiN</span></p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 164px; left: 642.187px; top: 190px;" data-block-id="3f0152edba6d7078542c2a7ea2f8bfbc" data-name="text-330cbf"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 16;">
<p>_</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 164px; left: 569.187px; top: 227.5px;" data-block-id="10d55a5f43d1c159434d3c08b0c58f51" data-name="text-24ff68"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 17;">
<p>+</p>
</div></div>
</div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 776.976px; top: 276px;" data-name="line-2e5532" data-block-id="d2502b31bcf06b409071618add527f90"><div class="sl-block-content" data-line-x1="0" data-line-y1="37" data-line-x2="0" data-line-y2="0" data-line-color="#274e13" data-line-start-type="line-arrow" data-line-end-type="none" style="z-index: 18;"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="1" height="37" viewbox="0 0 1 37"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="0" y1="35" x2="0" y2="0"></line><line class="line-element" stroke="#274e13" stroke-width="2" x1="0" y1="35" x2="0" y2="0"></line><path style="fill: rgba(0,0,0,0);" stroke="#274e13" stroke-width="2" transform="translate(0,35) rotate(0)" d="M -6 -6 L 0 0 L 6 -6"></path></svg></div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 797.187px; top: 276px;" data-block-id="1cd5869c6a1fcf912ec3bb7503a52b86" data-name="line-b404e5"><div class="sl-block-content" data-line-x1="0" data-line-y1="37" data-line-x2="0" data-line-y2="0" data-line-color="#274e13" data-line-start-type="line-arrow" data-line-end-type="none" style="z-index: 19;"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="1" height="37" viewbox="0 0 1 37"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="0" y1="35" x2="0" y2="0"></line><line class="line-element" stroke="#274e13" stroke-width="2" x1="0" y1="35" x2="0" y2="0"></line><path style="fill: rgba(0,0,0,0);" stroke="#274e13" stroke-width="2" transform="translate(0,35) rotate(0)" d="M -6 -6 L 0 0 L 6 -6"></path></svg></div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 815.976px; top: 276px;" data-block-id="219fed56276eb6aa8f00986a5e96864c" data-name="line-f5b512"><div class="sl-block-content" data-line-x1="0" data-line-y1="37" data-line-x2="0" data-line-y2="0" data-line-color="#274e13" data-line-start-type="line-arrow" data-line-end-type="none" style="z-index: 20;"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="1" height="37" viewbox="0 0 1 37"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="0" y1="35" x2="0" y2="0"></line><line class="line-element" stroke="#274e13" stroke-width="2" x1="0" y1="35" x2="0" y2="0"></line><path style="fill: rgba(0,0,0,0);" stroke="#274e13" stroke-width="2" transform="translate(0,35) rotate(0)" d="M -6 -6 L 0 0 L 6 -6"></path></svg></div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 836.187px; top: 276px;" data-block-id="0a84689d8f932c960063c0d6344450e1" data-name="line-140cb2"><div class="sl-block-content" data-line-x1="0" data-line-y1="37" data-line-x2="0" data-line-y2="0" data-line-color="#274e13" data-line-start-type="line-arrow" data-line-end-type="none" style="z-index: 21;"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="1" height="37" viewbox="0 0 1 37"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="0" y1="35" x2="0" y2="0"></line><line class="line-element" stroke="#274e13" stroke-width="2" x1="0" y1="35" x2="0" y2="0"></line><path style="fill: rgba(0,0,0,0);" stroke="#274e13" stroke-width="2" transform="translate(0,35) rotate(0)" d="M -6 -6 L 0 0 L 6 -6"></path></svg></div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 72.211px; left: 770.082px; top: 228px;" data-block-id="b04ddbf26655ec67a879624a35454502" data-name="text-c37e9b"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 22; color: rgb(39, 78, 19);">
<p><span style="font-size:0.7em">Heat</span></p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 92.211px; left: 523.082px; top: 238.5px;" data-block-id="fa04936208d747287c5373b2e3d29658" data-name="text-b1dee1"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 23; color: rgb(39, 78, 19);">
<p>50 mW</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 412px; left: 36.976px; top: 136.5px;" data-name="text-969871" data-block-id="8a5eb7b5bf4680a05599e6b9c4c14af2"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 24; color: rgb(0, 0, 0);">
<p>Silicon index increases with <span style="color:#006400">heat</span></p>
</div></div>
<div class="sl-block" data-block-type="video" style="min-width: 30px; min-height: 30px; width: 770.384px; height: 355.5px; left: 95.096px; top: 333.5px;" data-name="video-6b3c5c" data-block-id="46b0635c9954a6164b042583998649fb"><div class="sl-block-content" style="z-index: 25;" data-media-id="9422793" data-video-thumb="deck-f35950/42787d32d131b566d485b34bf21be1fe.jpg"><video playsinline="" poster="deck-f35950/42787d32d131b566d485b34bf21be1fe.jpg" data-paused-by-reveal="" data-autoplay="" loop="loop" data-lazy-loaded="" data-src="deck-f35950/0b5da713a9dddfdb54a6432bbfd55706.mp4"></video></div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 430.976px; top: 483.75px;" data-name="line-a9b386" data-block-id="2ae2c115ee195994d267e33b1ceb4303"><div class="sl-block-content" data-line-x1="0" data-line-y1="37.11500000000001" data-line-x2="0" data-line-y2="0" data-line-color="#274e13" data-line-start-type="none" data-line-end-type="none" style="z-index: 26;" data-line-width="4px"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="1" height="37.11500000000001" viewbox="0 0 1 37.11500000000001"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="0" y1="37.11500000000001" x2="0" y2="0"></line><line class="line-element" stroke="#274e13" stroke-width="4" x1="0" y1="37.11500000000001" x2="0" y2="0"></line></svg></div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 264px; left: 100.976px; top: 193.5px;" data-name="text-7f32e8" data-block-id="f82ae716db54e07ddbc8f7f3d219cc3a"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 27;">
<p>\(\sqrt{p} e^{i\theta} \to \sqrt{p} e^{i(\theta + \color{darkgreen}\delta \theta \color{black})}\)</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 264px; left: 66.976px; top: 247px;" data-block-id="94a34da74e1523dd8231cbf46cd82986" data-name="text-316495"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 28;">
<p>\(\color{darkgreen}\delta \theta \color{black} \propto \Delta T L_{\mathrm{PS}}\)</p>
</div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 430.976px; top: 330.865px;" data-name="line-5d4785" data-block-id="544cd70ab48ed0eb6593e034be5960f2"><div class="sl-block-content" data-line-x1="0" data-line-y1="152.885" data-line-x2="0" data-line-y2="0" data-line-color="#274e13" data-line-start-type="line-arrow" data-line-end-type="none" style="z-index: 29;"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="1" height="152.885" viewbox="0 0 1 152.885"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="0" y1="150.885" x2="0" y2="0"></line><line class="line-element" stroke="#274e13" stroke-width="2" x1="0" y1="150.885" x2="0" y2="0"></line><path style="fill: rgba(0,0,0,0);" stroke="#274e13" stroke-width="2" transform="translate(0,150.885) rotate(0)" d="M -6 -6 L 0 0 L 6 -6"></path></svg></div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 129.976px; top: 330.865px;" data-name="line-4851ac" data-block-id="875def91d71874404a003daab39bc10f"><div class="sl-block-content" data-line-x1="0" data-line-y1="0" data-line-x2="301" data-line-y2="0" data-line-color="#274e13" data-line-start-type="none" data-line-end-type="none" style="z-index: 30;"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="301" height="1" viewbox="0 0 301 1"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="0" y1="0" x2="301" y2="0"></line><line class="line-element" stroke="#274e13" stroke-width="2" x1="0" y1="0" x2="301" y2="0"></line></svg></div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 129.976px; top: 284px;" data-name="line-27b118" data-block-id="a511d2891345cf275402a225762d551b"><div class="sl-block-content" data-line-x1="0" data-line-y1="46.86500000000001" data-line-x2="0" data-line-y2="0" data-line-color="#274e13" data-line-start-type="none" data-line-end-type="none" style="z-index: 31;"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="1" height="46.86500000000001" viewbox="0 0 1 46.86500000000001"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="0" y1="46.86500000000001" x2="0" y2="0"></line><line class="line-element" stroke="#274e13" stroke-width="2" x1="0" y1="46.86500000000001" x2="0" y2="0"></line></svg></div></div>
<div class="sl-block" data-block-type="text" style="width: 960px; left: 160px; top: 24px; height: auto;" data-name="text-ea6343" data-block-id="5d4f5163382f508bf100040510cfd75d"><div class="sl-block-content" data-placeholder-tag="h2" data-placeholder-text="Title Text" style="z-index: 32;">
<h2>Programmable phase shifter</h2>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 254px; left: 943px; top: 208px;" data-name="text-59d68d" data-block-id="6fb6277c3d429c804d3846ffa8dfe7fa"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 33;">
<p>Apply voltage, achieve phase shift</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 278px; left: 919px; top: 463.308px;" data-block-id="d73cd682d612736f0556580bf76a825a" data-name="text-d76fab"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 34;">
<p>Phase changes but power stays the same</p>
</div></div></section><section data-id="e99904b0a186f1a95083c2371827f55e">
<div class="sl-block" data-block-type="text" style="width: 960px; left: 160px; top: 24px; height: auto;" data-name="text-ea6343" data-block-id="391fcf3a8b1f289e7416d9776d965f89"><div class="sl-block-content" data-placeholder-tag="h2" data-placeholder-text="Title Text" style="z-index: 11;">
<h2>MZI generator</h2>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 135px; left: 188.5px; top: 276.349px;" data-name="text-2dde1b" data-block-id="6d4244ccce0ab2a9af4cf4abea223c60"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 34; background-color: rgb(255, 255, 255); border-width: 1px; font-size: 80%;">
<p>Set \(\theta, \phi\)</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 276px; left: 118px; top: 343.724px;" data-name="text-fa582d" data-block-id="ef807ba09f8d6248112312fb51cf68ed"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 12; color: rgb(0, 0, 0);">
<p>\(\boldsymbol{y} = \left(e^{i\phi}\sin \frac{\theta}{2}, \cos \frac{\theta}{2}\right)\)</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 267px; left: 122.5px; top: 213.724px;" data-block-id="b7af045d694c8288a882719055040a47" data-name="text-1cf0e2"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 13;">
<p>Assume \(\bm{x} = (0, 1)\)</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 600px; left: 340px; top: 98px;" data-name="text-d2d5c9" data-block-id="df2b961b02842a412dbab6c02f053ba7"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 14;">
<p>(MZI = Mach-Zehnder interferometer)</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 52px; left: 1194px; top: 672px;" data-name="text-5b6ed5" data-block-id="82a303011b238f7db03585bd69650ba6"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 19; color: rgb(60, 120, 216);">
<p><span style="font-size:1.0em">\(\boldsymbol{y}\)</span></p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 52px; left: 37px; top: 670.474px;" data-name="text-5c8423" data-block-id="c556084ebef4ba0decde0c571ad426c7"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 20; color: rgb(166, 28, 0);">
<p><span style="font-size:1.0em">\(\boldsymbol{x}\)</span></p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 35px; left: 532px; top: 513.721px;" data-name="text-5921ea" data-block-id="9bee082424db4b1e0a9313a353b3096d"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 15; color: rgb(166, 28, 0);">
<p><span style="font-size:1.0em">\(\theta\)</span></p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 35px; left: 1133.25px; top: 505.721px;" data-name="text-f094eb" data-block-id="d0ac1e6e5097aae380062cc65455827c"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 16; color: rgb(39, 78, 19);">
<p><span style="color:#008000"><span style="font-size:1.0em">\(\phi\)</span></span></p>
</div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 63px; top: 473.442px;" data-name="line-a9b386" data-block-id="9a47f9bfc78035d1a09c672c7815b273"><div class="sl-block-content" data-line-x1="0" data-line-y1="197.5575" data-line-x2="0" data-line-y2="0" data-line-color="#a61c00" data-line-start-type="none" data-line-end-type="none" style="z-index: 17;" data-line-width="4px"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="1" height="197.5575" viewbox="0 0 1 197.5575"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="0" y1="197.5575" x2="0" y2="0"></line><line class="line-element" stroke="#a61c00" stroke-width="4" x1="0" y1="197.5575" x2="0" y2="0"></line></svg></div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 1221px; top: 473.442px;" data-name="line-f1b99e" data-block-id="2845436291cc30103b882d7dfcb79f6c"><div class="sl-block-content" data-line-x1="0" data-line-y1="197.55749999999995" data-line-x2="0" data-line-y2="0" data-line-color="#3c78d8" data-line-start-type="none" data-line-end-type="none" style="z-index: 18;" data-line-width="4px"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="1" height="197.55749999999995" viewbox="0 0 1 197.55749999999995"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="0" y1="197.55749999999995" x2="0" y2="0"></line><line class="line-element" stroke="#3c78d8" stroke-width="4" x1="0" y1="197.55749999999995" x2="0" y2="0"></line></svg></div></div>
<div class="sl-block" data-block-type="shape" style="width: 146.75px; height: 148.5px; left: 907.625px; top: 223.974px;" data-name="shape-f75ff7" data-block-id="dbaabccf276de252a093f025e670af02"><div class="sl-block-content" data-shape-type="rect" data-shape-fill-color="rgba(0, 0, 0, 0)" data-shape-stretch="true" style="z-index: 21;" data-shape-stroke-color="#000000" data-shape-stroke-width="3px"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" width="100%" height="100%" preserveaspectratio="none" viewbox="0 0 147 149"><defs><clippath id="shape-mask-1-1648082568208"><rect width="146.75" height="148.5" rx="0" ry="0" fill="rgba(0, 0, 0, 0)" stroke="#000000" stroke-width="6"></rect></clippath></defs><rect width="146.75" height="148.5" rx="0" ry="0" class="shape-element" fill="rgba(0, 0, 0, 0)" stroke="#000000" stroke-width="6" clip-path="url(#shape-mask-1-1648082568208)"></rect></svg></div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 793.625px; top: 256.974px;" data-name="line-335226" data-block-id="e5e4d5c49a9fb9713c0d3314c24f4569"><div class="sl-block-content" data-line-x1="0" data-line-y1="0" data-line-x2="115.5" data-line-y2="0" data-line-color="#a61c00" data-line-start-type="none" data-line-end-type="none" style="z-index: 22;" data-line-style="dashed"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="115.5" height="1" viewbox="0 0 115.5 1"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="0" y1="0" x2="115.5" y2="0"></line><line class="line-element" stroke="#a61c00" stroke-width="2" stroke-dasharray="5.475 5.475" x1="0" y1="0" x2="115.5" y2="0"></line></svg></div></div>
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<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 1052.88px; top: 255.974px;" data-name="line-80dd10" data-block-id="3b12008d0952d583dd917c8c28e0fabb"><div class="sl-block-content" data-line-x1="0" data-line-y1="0" data-line-x2="115.5" data-line-y2="0" data-line-color="#3c78d8" data-line-start-type="none" data-line-end-type="none" style="z-index: 24;"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="115.5" height="1" viewbox="0 0 115.5 1"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="0" y1="0" x2="115.5" y2="0"></line><line class="line-element" stroke="#3c78d8" stroke-width="2" x1="0" y1="0" x2="115.5" y2="0"></line></svg></div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 1052.88px; top: 335.974px;" data-name="line-a0c234" data-block-id="2e7709130e79605dbe3498d13e01bbdb"><div class="sl-block-content" data-line-x1="0" data-line-y1="0" data-line-x2="115.5" data-line-y2="0" data-line-color="#3c78d8" data-line-start-type="none" data-line-end-type="none" style="z-index: 25;"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="115.5" height="1" viewbox="0 0 115.5 1"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="0" y1="0" x2="115.5" y2="0"></line><line class="line-element" stroke="#3c78d8" stroke-width="2" x1="0" y1="0" x2="115.5" y2="0"></line></svg></div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 52px; left: 1168.13px; top: 271.724px;" data-name="text-c1d0a1" data-block-id="2a1d784797d936979548d4dacb3a131c"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 26; color: rgb(60, 120, 216);">
<p><span style="font-size:1.0em">\(\boldsymbol{y}\)</span></p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 52px; left: 741.625px; top: 276.224px;" data-name="text-813248" data-block-id="798b403136549e4dce8f02fa8cd36fb2"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 27; color: rgb(166, 28, 0);">
<p><span style="font-size:1.0em">\(\boldsymbol{x}\)</span></p>
</div></div>
<div class="sl-block" data-block-type="image" style="width: 115.808px; height: 103.4px; left: 923.096px; top: 244.024px; min-width: 1px; min-height: 1px;" data-name="image-55d742" data-block-id="c82655e7c5e2432bff48692e3ca5931b"><div class="sl-block-content" style="z-index: 28;"><img style="" data-natural-width="392" data-natural-height="350" data-lazy-loaded="" data-src="deck-f35950/5c1d118a116d1fe17099b742971a7d4e.png"></div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 35px; left: 955.38px; top: 319.724px;" data-name="text-49c0b6" data-block-id="1fdbbf20d1f022fd02a1dcd4835c5a6d"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 29; color: rgb(166, 28, 0);">
<p><span style="font-size:1.0em">\(\theta\)</span></p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 35px; left: 972.25px; top: 223.724px;" data-name="text-7eb76d" data-block-id="d9398f8130ee6b5b4eaebbac0685ad45"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 30; color: rgb(39, 78, 19);">
<p><span style="color:#008000"><span style="font-size:1.0em">\(\phi\)</span></span></p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 144px; left: 910.375px; top: 372.474px;" data-block-id="c508c140891200f9953f97f179d6106e" data-name="text-a147da"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 31; color: rgb(0, 0, 0);">
<p>\(\bm{y} = U_2 \bm{x}\)</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 144px; left: 909.375px; top: 185.724px;" data-block-id="864c01ff0907dc3747f845f83877ad44" data-name="text-bff1c7"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 32; color: rgb(0, 0, 0);">
<p>\(2 \times 2\)</p>
</div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 256px; top: 261.724px;" data-name="line-7b0a86" data-block-id="f43620ce8a7d918dccc9ff6406f19785"><div class="sl-block-content" data-line-x1="0" data-line-y1="68.25" data-line-x2="0" data-line-y2="0" data-line-color="#000000" data-line-start-type="line-arrow" data-line-end-type="none" style="z-index: 33;"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="1" height="68.25" viewbox="0 0 1 68.25"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="0" y1="66.25" x2="0" y2="0"></line><line class="line-element" stroke="#000000" stroke-width="2" x1="0" y1="66.25" x2="0" y2="0"></line><path style="fill: rgba(0,0,0,0);" stroke="#000000" stroke-width="2" transform="translate(0,66.25) rotate(0)" d="M -6 -6 L 0 0 L 6 -6"></path></svg></div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 144px; left: 779.375px; top: 185.724px;" data-block-id="ab5c1e0bfef00aaf6aae386a9b989560" data-name="text-7709cf"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 35; color: rgb(0, 0, 0);">
<p>\(2\)-vector</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 144px; left: 1038.9px; top: 185.724px;" data-block-id="89e99086cc6a6f19c8f1bbf2e9a7c8a6" data-name="text-6866b3"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 36; color: rgb(0, 0, 0);">
<p>\(2\)-vector</p>
</div></div>
<div class="sl-block" data-block-type="video" style="min-width: 30px; min-height: 30px; width: 1244.8px; height: 259.333px; left: 8.2px; top: 418.442px;" data-name="video-182b84" data-block-id="0822139bcc6df88fb7709eddf61f90c7"><div class="sl-block-content" style="z-index: 10;" data-media-id="9440685" data-video-thumb="deck-f35950/8655d2961fa6f88b3ea43601e4f2c473.jpg"><video playsinline="" poster="deck-f35950/8655d2961fa6f88b3ea43601e4f2c473.jpg" data-lazy-loaded="" data-paused-by-reveal="" data-autoplay="" loop="loop" data-src="deck-f35950/29f3a691281b15867767be593a6906a2.mp4"></video></div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 438px; left: 394px; top: 442.474px;" data-name="text-18d2c9" data-block-id="7f2ff540fc8d4c31dbd7a259470a1d90"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 37;">
<p>An MZI controls where light goes.</p>
</div></div></section><section class="stack" data-id="a40e1d9c5a1d47df85bc09eb06676bd1"><section data-id="5190cd6acb15ce6141ac2d8c3fc6a6a0">
<div class="sl-block" data-block-type="text" style="height: auto; width: 471px; left: 94px; top: 164.5px;" data-block-id="41f71fc93a4efcd28a50c53d0b61e726" data-name="text-2dde1b"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 11;">
<p>Sweep \(\theta, \phi\) to "nullify" top power</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 52px; left: 1195px; top: 643.026px;" data-name="text-5b6ed5" data-block-id="ddf71bdedfd4f46cac1e83ff04909e8b"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 16; color: rgb(60, 120, 216);">
<p><span style="font-size:1.0em">\(\boldsymbol{y}\)</span></p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 52px; left: 45px; top: 642.026px;" data-name="text-5c8423" data-block-id="8c49ec9caf717d29f9bc473d44dec2d2"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 17; color: rgb(166, 28, 0);">
<p><span style="font-size:1.0em">\(\boldsymbol{x}\)</span></p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 35px; left: 700px; top: 484.747px;" data-name="text-5921ea" data-block-id="7d37fcfe4ae53ced5fa73c49cdccbd40"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 12; color: rgb(166, 28, 0);">
<p><span style="font-size:1.0em">\(\theta\)</span></p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 35px; left: 105.25px; top: 476.747px;" data-block-id="fb08e9c18ac8b14d246d0ef75eb1b1da" data-name="text-f094eb"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 13; color: rgb(39, 78, 19);">
<p><span style="color:#008000"><span style="font-size:1.0em">\(\phi\)</span></span></p>
</div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 71px; top: 444.468px;" data-name="line-a9b386" data-block-id="b13a5011b4bfc55d515b1b0ef9550d40"><div class="sl-block-content" data-line-x1="0" data-line-y1="197.5575" data-line-x2="0" data-line-y2="0" data-line-color="#a61c00" data-line-start-type="none" data-line-end-type="none" style="z-index: 14;" data-line-width="4px"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="1" height="197.5575" viewbox="0 0 1 197.5575"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="0" y1="197.5575" x2="0" y2="0"></line><line class="line-element" stroke="#a61c00" stroke-width="4" x1="0" y1="197.5575" x2="0" y2="0"></line></svg></div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 1221px; top: 444.468px;" data-name="line-f1b99e" data-block-id="30097e3fa262a2c02b59f62b735a62c6"><div class="sl-block-content" data-line-x1="0" data-line-y1="197.55749999999995" data-line-x2="0" data-line-y2="0" data-line-color="#3c78d8" data-line-start-type="none" data-line-end-type="none" style="z-index: 15;" data-line-width="4px"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="1" height="197.55749999999995" viewbox="0 0 1 197.55749999999995"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="0" y1="197.55749999999995" x2="0" y2="0"></line><line class="line-element" stroke="#3c78d8" stroke-width="4" x1="0" y1="197.55749999999995" x2="0" y2="0"></line></svg></div></div>
<div class="sl-block" data-block-type="shape" style="width: 146.75px; height: 148.5px; left: 907.5px; top: 195px;" data-name="shape-7e054f" data-block-id="578e3d3195e1aec8aef83914910f10dc"><div class="sl-block-content" data-shape-type="rect" data-shape-fill-color="rgba(0, 0, 0, 0)" data-shape-stretch="true" style="z-index: 18;" data-shape-stroke-color="#000000" data-shape-stroke-width="3px"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" width="100%" height="100%" preserveaspectratio="none" viewbox="0 0 147 149"><defs><clippath id="shape-mask-2-1648082832381"><rect width="146.75" height="148.5" rx="0" ry="0" fill="rgba(0, 0, 0, 0)" stroke="#000000" stroke-width="6"></rect></clippath></defs><rect width="146.75" height="148.5" rx="0" ry="0" class="shape-element" fill="rgba(0, 0, 0, 0)" stroke="#000000" stroke-width="6" clip-path="url(#shape-mask-2-1648082832381)"></rect></svg></div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 793.5px; top: 228px;" data-name="line-3e1994" data-block-id="c0aa1520bfe2b37bee90cab99d3aa65b"><div class="sl-block-content" data-line-x1="0" data-line-y1="0" data-line-x2="115.5" data-line-y2="0" data-line-color="#a61c00" data-line-start-type="none" data-line-end-type="none" style="z-index: 19;" data-line-style="solid"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="115.5" height="1" viewbox="0 0 115.5 1"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="0" y1="0" x2="115.5" y2="0"></line><line class="line-element" stroke="#a61c00" stroke-width="2" x1="0" y1="0" x2="115.5" y2="0"></line></svg></div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 793.5px; top: 308px;" data-name="line-7d1c49" data-block-id="722161f4b944f4124455a0d5ffa99987"><div class="sl-block-content" data-line-x1="0" data-line-y1="0" data-line-x2="115.5" data-line-y2="0" data-line-color="#a61c00" data-line-start-type="none" data-line-end-type="none" style="z-index: 20;"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="115.5" height="1" viewbox="0 0 115.5 1"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="0" y1="0" x2="115.5" y2="0"></line><line class="line-element" stroke="#a61c00" stroke-width="2" x1="0" y1="0" x2="115.5" y2="0"></line></svg></div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 1052.75px; top: 227px;" data-name="line-508280" data-block-id="7114fd20a524cab7045fe117147dc87b"><div class="sl-block-content" data-line-x1="0" data-line-y1="0" data-line-x2="115.5" data-line-y2="0" data-line-color="#3c78d8" data-line-start-type="none" data-line-end-type="none" style="z-index: 21;" data-line-style="dashed"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="115.5" height="1" viewbox="0 0 115.5 1"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="0" y1="0" x2="115.5" y2="0"></line><line class="line-element" stroke="#3c78d8" stroke-width="2" stroke-dasharray="5.475 5.475" x1="0" y1="0" x2="115.5" y2="0"></line></svg></div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 1052.75px; top: 307px;" data-name="line-6e3f4b" data-block-id="8a90de04f10cb93636b8e3473b8ccf92"><div class="sl-block-content" data-line-x1="0" data-line-y1="0" data-line-x2="115.5" data-line-y2="0" data-line-color="#3c78d8" data-line-start-type="none" data-line-end-type="none" style="z-index: 22;"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="115.5" height="1" viewbox="0 0 115.5 1"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="0" y1="0" x2="115.5" y2="0"></line><line class="line-element" stroke="#3c78d8" stroke-width="2" x1="0" y1="0" x2="115.5" y2="0"></line></svg></div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 52px; left: 1168px; top: 242.75px;" data-name="text-0c137e" data-block-id="e1dcce2ef14d7e51aca231bdd36aff65"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 23; color: rgb(60, 120, 216);">
<p><span style="font-size:1.0em">\(\boldsymbol{y}\)</span></p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 52px; left: 741.5px; top: 247.25px;" data-name="text-5e1c71" data-block-id="6490c7dd735cf69286e2040a95ad9f8f"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 24; color: rgb(166, 28, 0);">
<p><span style="font-size:1.0em">\(\boldsymbol{x}\)</span></p>
</div></div>
<div class="sl-block" data-block-type="image" style="width: 109.169px; height: 101.7px; left: 928.293px; top: 210.75px; min-width: 1px; min-height: 1px;" data-name="image-4b2956" data-block-id="d6cd7964644b9308a4c8d918c02ab1d5"><div class="sl-block-content" style="z-index: 25;"><img style="" data-natural-width="380" data-natural-height="354" data-lazy-loaded="" data-src="deck-f35950/97162a65d44d8b2a9023ea661fdac7b5.png"></div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 35px; left: 971.38px; top: 290.75px;" data-block-id="c0c31c452944c9ddc87f6c3078bc290e" data-name="text-49c0b6"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 26; color: rgb(166, 28, 0);">
<p><span style="font-size:1.0em">\(\theta\)</span></p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 35px; left: 957.25px; top: 194.75px;" data-block-id="98c995ec39b498342eb9e021204ab09a" data-name="text-7eb76d"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 27; color: rgb(39, 78, 19);">
<p><span style="color:#008000"><span style="font-size:1.0em">\(\phi\)</span></span></p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 523px; left: 68px; top: 255.75px;" data-block-id="428ef35754c9d362394531fac2db0e34" data-name="text-f98014"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 28;">
<p>We can deduce<strong> </strong>\(\boldsymbol{x} = \left(e^{-i\phi}\sin \frac{\theta}{2}, \cos \frac{\theta}{2}\right)\)</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 144px; left: 909.375px; top: 156.75px;" data-name="text-bff1c7" data-block-id="f650d6f3475709bb7e0eb1ffa077643c"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 29; color: rgb(0, 0, 0);">
<p>\(2 \times 2\)</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 144px; left: 779.375px; top: 156.75px;" data-name="text-7709cf" data-block-id="965b970184efae5979eb27d4138318c1"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 30; color: rgb(0, 0, 0);">
<p>\(2\)-vector</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 144px; left: 1038.9px; top: 156.75px;" data-name="text-6866b3" data-block-id="5879bfb2fb00f267a8569e32e17ebf2e"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 31; color: rgb(0, 0, 0);">
<p>\(2\)-vector</p>
</div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 144px; left: 910.375px; top: 343.5px;" data-name="text-a147da" data-block-id="d7f389c0371c57f618bea7226760aabb"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 32; color: rgb(0, 0, 0);">
<p>\(\bm{y} = U_2 \bm{x}\)</p>
</div></div>
<div class="sl-block" data-block-type="text" style="width: 960px; left: 160px; top: 24px; height: auto;" data-name="text-ea6343" data-block-id="25b75f04af399dc7d274fd7118d5c012"><div class="sl-block-content" data-placeholder-tag="h2" data-placeholder-text="Title Text" style="z-index: 33;">
<h2>MZI analyzer</h2>
</div></div>
<div class="sl-block sl-block-group" data-block-type="group" data-name="group-eaf099" data-block-id="24b12fb508d8dae2ebf5d4787e62b899"><div class="sl-block-content sl-block-group-content" style="transform-origin: 1221px 462.747px 0px; z-index: 34;">
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 1206.5px; top: 448.747px;" data-name="line-86083f" data-block-id="9cbff30e82e470b0b7e1fff33fb54e41"><div class="sl-block-content" data-line-x1="29" data-line-y1="28" data-line-x2="0" data-line-y2="0" data-line-color="#8e7cc3" data-line-start-type="none" data-line-end-type="none" style="z-index: 35;" data-line-width="5px"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="29" height="28" viewbox="0 0 29 28"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="29.5" y1="28.5" x2="0.5" y2="0.5"></line><line class="line-element" stroke="#8e7cc3" stroke-width="5" x1="29.5" y1="28.5" x2="0.5" y2="0.5"></line></svg></div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 1207.5px; top: 448.747px;" data-block-id="7465b21c19e69ecfbb597b536d946a63" data-name="line-0112c0"><div class="sl-block-content" data-line-x1="0" data-line-y1="28" data-line-x2="27.625" data-line-y2="0" data-line-color="#8e7cc3" data-line-start-type="none" data-line-end-type="none" style="z-index: 36;" data-line-width="5px"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="27.625" height="28" viewbox="0 0 27.625 28"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="0.5" y1="28.5" x2="28.125" y2="0.5"></line><line class="line-element" stroke="#8e7cc3" stroke-width="5" x1="0.5" y1="28.5" x2="28.125" y2="0.5"></line></svg></div></div>
</div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 313px; top: 212.5px;" data-name="line-91fbd1" data-block-id="b10920393c529ed06fd3f64d8df87a97"><div class="sl-block-content" data-line-x1="0" data-line-y1="36.75" data-line-x2="0" data-line-y2="0" data-line-color="#000000" data-line-start-type="line-arrow" data-line-end-type="none" style="z-index: 37;"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="1" height="36.75" viewbox="0 0 1 36.75"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="0" y1="34.75" x2="0" y2="0"></line><line class="line-element" stroke="#000000" stroke-width="2" x1="0" y1="34.75" x2="0" y2="0"></line><path style="fill: rgba(0,0,0,0);" stroke="#000000" stroke-width="2" transform="translate(0,34.75) rotate(0)" d="M -6 -6 L 0 0 L 6 -6"></path></svg></div></div>
<div class="sl-block sl-block-group" data-block-type="group" data-block-id="0e4443b8fcb801a3ce2c99c28dd0f9c8" data-name="group-912e7a"><div class="sl-block-content sl-block-group-content" style="transform-origin: 1168px 227px 0px; z-index: 38;">
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 1153.5px; top: 213px;" data-origin-id="9cbff30e82e470b0b7e1fff33fb54e41" data-block-id="0994ea1f31b910249295f4d3ae83ff86" data-name="line-eadf64"><div class="sl-block-content" data-line-x1="29" data-line-y1="28" data-line-x2="0" data-line-y2="0" data-line-color="#8e7cc3" data-line-start-type="none" data-line-end-type="none" style="z-index: 39;" data-line-width="5px"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="29" height="28" viewbox="0 0 29 28"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="29.5" y1="28.5" x2="0.5" y2="0.5"></line><line class="line-element" stroke="#8e7cc3" stroke-width="5" x1="29.5" y1="28.5" x2="0.5" y2="0.5"></line></svg></div></div>
<div class="sl-block" data-block-type="line" style="width: auto; height: auto; min-width: 0px; min-height: 0px; left: 1154.5px; top: 213px;" data-origin-id="7465b21c19e69ecfbb597b536d946a63" data-block-id="facf8420cfb44395224e82297e7c8e08" data-name="line-cfa20d"><div class="sl-block-content" data-line-x1="0" data-line-y1="28" data-line-x2="27.625" data-line-y2="0" data-line-color="#8e7cc3" data-line-start-type="none" data-line-end-type="none" style="z-index: 40;" data-line-width="5px"><svg xmlns="http://www.w3.org/2000/svg" version="1.1" preserveaspectratio="xMidYMid" width="27.625" height="28" viewbox="0 0 27.625 28"><line stroke="rgba(0,0,0,0)" stroke-width="15" x1="0.5" y1="28.5" x2="28.125" y2="0.5"></line><line class="line-element" stroke="#8e7cc3" stroke-width="5" x1="0.5" y1="28.5" x2="28.125" y2="0.5"></line></svg></div></div>
</div></div>
<div class="sl-block" data-block-type="video" style="min-width: 30px; min-height: 30px; width: 1235.46px; height: 257.387px; left: 18.2px; top: 386.414px;" data-name="video-d3f396" data-block-id="ff227eeb046a63680b1e6728aca26891"><div class="sl-block-content" style="z-index: 10;" data-media-id="9440731" data-video-thumb="deck-f35950/80473037414b38c02afac49622d7f871.jpg"><video playsinline="" poster="deck-f35950/80473037414b38c02afac49622d7f871.jpg" data-paused-by-reveal="" data-autoplay="" loop="loop" data-lazy-loaded="" data-src="deck-f35950/f264090f00eb575792eec93e839515dc.mp4"></video></div></div>
<div class="sl-block" data-block-type="text" style="height: auto; width: 438px; left: 372px; top: 405.468px;" data-name="text-18d2c9" data-block-id="926ee7784f96c8883218c8b88d712a4f"><div class="sl-block-content" data-placeholder-tag="p" data-placeholder-text="Text" style="z-index: 41;">
<p>An MZI controls where light goes.</p>
</div></div></section><section data-id="743a4271e25d36e51b4bf36400d5486e">