slmsuite.holography.analysis.fitfunctions.tophat2d#

tophat2d(xy, x0, y0, R, a=1, c=0)[source]#

For fitting a 2D tophat distribution.

\[\begin{split}z(x,y) = \left\{ \begin{array}{ll} a + c, & x^2 + y^2 < R^2 \\ c, & \text{ otherwise}. \end{array} \right.\end{split}\]

Parameters:

xy (numpy.ndarray) – Points to fit upon (x, y).
x0 (float) – Vector offset.
y0 (float) – Vector offset.
R (float) – Active radius of the tophat.
a (float) – Amplitude.
c (float) – Offset.

Returns:

z – Tophat fit evaluated at all (x,y) in xy.

Return type:

numpy.ndarray