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Update event_processing.md
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mdoucet authored Jan 9, 2025
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4 changes: 3 additions & 1 deletion docs/user/event_processing.md
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Expand Up @@ -17,10 +17,12 @@ the following for the paralyzing case:
$$
C_{par} = -{\cal Re}W_0(-R\tau/\Delta_{TOF}) \Delta_{TOF}/R
$$

where $R$ is the number of triggers per accelerator pulse within a time-of-flight bin $\Delta_{TOF}$.
The dead time for the current BL4B detector is $\tau=4.2$ $\mu s$. In the equation avove, ${\cal Re}W_0$ referes to the principal branch of the Lambert W function.

The following is used for the non-paralyzing case:

$$
C_{non-par} = 1/(1-R\tau/\Delta_{TOF})
$$
Expand Down Expand Up @@ -157,4 +159,4 @@ With this new weigth, we can compute reflectivity directly from the $S(q_z)$ equ

$$
R(q_z) = \frac{1}{Q} \sum_{i \in q_z \pm \Delta{q_z}/2} w_i / \phi(\lambda_i) q_{z,i} / \lambda_i
$$
$$

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