generate_facet_uncertainty

marxs.design.uncertainties.generate_facet_uncertainty(n, xyz, angle_xyz, trans_offset=0, rot_offset=0)

Generate 4d matrices that represent facet misalignment.

Positional and rotational uncertainties are input to this function. It then draws randomnly from Gaussians centered on 0 (the correct position) for the displacement and rotation, where the \(\sigma\) of the Gaussian is given by the numbers in the input. The linear displacements and angles are expressed as (4,4) matrixes suitable for use with homogeneous coordinates.

Parameters:

nint

Number of 4d matrixes to be calculated

xyztuple of 3 floats

accuracy of grating positioning in x, y, z (in mm) - Gaussian sigma, not FWHM!

angle_xyztuple of 3 floats

accuracy of grating positioning. Rotation around x, y, z (in rad) - Gaussian sigma, not FWHM!

trans_offsetarray_like

will be passed to numpy.random.normal as the loc parameter when drawing translantions.

rot_offsetarray_like

will be passed to numpy.random.normal as the loc parameter when drawing rotations.

Returns:

pos_uncertlist of n (4,4) np.arrays

Random realizations of the uncertainty