Cyclic Gaussian


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.


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.


No comments yet.

Please log in to add a comment.