finesse.utilities.maps.overlap_tilt_coefficients

finesse.utilities.maps.overlap_tilt_coefficients(x, y, z, weight_spot: float)[source]

Computes the amount of yaw and pitch terms present in a map’s displacement data.

This is computed by evaluating a weighted Hermite polynomial overlap integral in an efficient manner.

Parameters
x, yarray_like

1D Array of x and y describing the 2D plane of z

zarray_like

2D optical path depth [metres]

weight_spotfloat

Beam spot size to weight over

Returns
k10, k01complex

Complex-valued overlap tilt for the HG10 and HG01 mode