slmsuite.holography.toolbox.phase.zernike

zernike(grid, index, weight=1, **kwargs)

Returns a single real Zernike polynomial as a subset of zernike_sum(). These polynomials are commonly used as an orthonormal basis for optical aberration and are used in a number of places inside slmsuite for aberration compensation.

Under the hood, this calls zernike_sum() with a single term. See zernike_sum() for more information about normalization and scaling.

Parameters:

• grid ((array_like, array_like) OR SLM) – Meshgrids of normalized \(\frac{x}{\lambda}\) coordinates corresponding to SLM pixels, in (x_grid, y_grid) form. These are precalculated and stored in any SLM, so such a class can be passed instead of the grids directly.

• index (int) – ANSI Zernike index defining the polynomial.

• weight (float) – Amplitude of the polynomial.

• **kwargs – Passed to zernike_sum().

Returns:

The phase for this function.

Return type:

numpy.ndarray