diff --git a/docs/theory/notebooks/microwave_grouper/microwave_grouper.ipynb b/docs/theory/notebooks/microwave_grouper/microwave_grouper.ipynb index 490c97e..081be98 100644 --- a/docs/theory/notebooks/microwave_grouper/microwave_grouper.ipynb +++ b/docs/theory/notebooks/microwave_grouper/microwave_grouper.ipynb @@ -54,7 +54,7 @@ }, { "cell_type": "code", - "execution_count": 64, + "execution_count": 78, "metadata": { "ExecuteTime": { "start_time": "2024-04-02T06:03:40.158544Z" @@ -70,13 +70,13 @@ "name": "stderr", "output_type": "stream", "text": [ - "D:\\TMP\\ipykernel_8688\\2113458680.py:21: RuntimeWarning: invalid value encountered in power\n", - " dbeta_dz = (E0 / U0) * np.cos(phi + phi_0) * ((1 - beta**2)**(3/2)) / beta\n" + "D:\\TMP\\ipykernel_8688\\75803242.py:22: RuntimeWarning: invalid value encountered in power\n", + " dbeta_dz = (E / U0) * np.cos(phi + phi_0) * ((1 - beta**2)**(3/2)) / beta\n" ] }, { "data": { - "image/png": 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", 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", 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" ] @@ -96,8 +96,9 @@ "f = 1.5 * 1e9 # Frequency\n", "phi_0 = 0 # Initial phase\n", "E0 = -40e6 # Electric field strength in V/m (example value)\n", - "dz = 1e-6 # Step size in m\n", - "z_max = 0.3 # Length of the buncher in m\n", + "dz = 1e-5 # Step size in m\n", + "z_max = 0.9 # Length of the buncher in m\n", + "z_max_grouper = 0.3 # Length of the buncher in m\n", "num_particles = 1_000 # Number of particles\n", "\n", "# Initial conditions\n", @@ -105,14 +106,14 @@ "phis = np.linspace(0, np.pi, num_particles) # Uniform distribution of initial phases\n", "\n", "# Function to calculate derivatives\n", - "def derivatives(beta, phi):\n", - " dbeta_dz = (E0 / U0) * np.cos(phi + phi_0) * ((1 - beta**2)**(3/2)) / beta\n", + "def derivatives(beta, phi, E):\n", + " dbeta_dz = (E / U0) * np.cos(phi + phi_0) * ((1 - beta**2)**(3/2)) / beta\n", " dphi_dz = omega / (beta * c)\n", " return dbeta_dz, dphi_dz\n", "\n", "# Function to calculate Ez(z)\n", "def E_z(z):\n", - " return E0 * np.sin(2 * np.pi * f * z / c + phi_0)\n", + " return np.where(z < z_max_grouper, E0 * np.sin(2 * np.pi * f * z / c + phi_0), 0)\n", "\n", "# Solving the system using Euler's method\n", "z_values = np.arange(0, z_max, dz)\n", @@ -120,7 +121,7 @@ "phis_values = []\n", "\n", "for z in z_values:\n", - " dbeta_dz, dphi_dz = derivatives(betas, phis)\n", + " dbeta_dz, dphi_dz = derivatives(betas, phis, E_z(z))\n", " betas += dbeta_dz * dz\n", " phis += dphi_dz * dz\n", " betas_values.append(betas.copy())\n", diff --git a/redpic/core/config.py b/redpic/core/config.py index a7d8594..faf10cb 100644 --- a/redpic/core/config.py +++ b/redpic/core/config.py @@ -6,7 +6,7 @@ NAME = "redpic" -VERSION = "0.10.6" +VERSION = "0.10.7" AUTHOR = "Vyacheslav Fedorov"