omega_from_core#

anri.diffract.omega_from_core(asin_term, phi, etasign)[source]#

Select one Friedel branch from omega_solns_core() and wrap it to degrees.

Parameters:

asin_term (Array) – \(\arcsin(\delta / R)\) in radians, from omega_solns_core()
phi (Array) – Phase in radians, from omega_solns_core()
etasign (float) – +1 (omega1 in ImageD11) or -1 (omega2 in ImageD11) to select which omega solution to return

Returns:

omega (jax.Array) – Omega angle in degrees, wrapped to (-180, 180]

Notes

The two solutions are \(\omega_1 = \arcsin(\delta/R) - \phi\) and \(\omega_2 = -\arcsin(\delta/R) - \phi - \pi\), which the etasign factor and the \(\pi\) shift express as one branchless expression.