finesse.utilities.aberrations module

Functions for computing outputs for higher order aberrations of spherical optical components.

finesse.utilities.aberrations.spherical_surface(X, Y, R, degrees=0)[source]

Computes the spherical height (sagitta) for a spherical mirror normal incidence. Will return NaNs for regions in X**2+Y**2 > R**2.

Parameters

X, Y[array_like| float]: Coordinates to compute surface at
Rfloat: Radius of curvature
degreesfloat: Angle of incidence in degrees

Returns

Z[array_like|float]: Height of the spherical surface

Notes

Coorindate system used is left-handed with positive R being in the +z direction. Formula is from equation 29 in [43].