# Cyclic Gaussian

## Description:

Cyclic gaussian dispersion for orientation.

$w(\theta) = e^{-\frac{\sin^2 \theta}{2 \sigma^2}}$

This provides a close match to the gaussian distribution for low angles, but the tails are limited to $\pm 90^\circ$. For $\sigma$ large the distribution is approximately uniform. The usual polar coordinate projection applies, with $\theta$ weights scaled by $\cos \theta$ and $\phi$ weights unscaled.

This is eqivalent to a Maier-Saupe distribution with order parameter $a = 1/(2 \sigma^2)$, with $\sigma$ in radians.

Distribution coded by P Kienzle.

## Details:

 Created By smk78 Uploaded Nov. 3, 2021, 2:02 p.m. Category Distributions Score 0 Verified This model has not been verified by a member of the SasView team In Library This model is not currently included in the SasView library. You must download the files and install it yourself. Files cyclic_gaussian.py

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