createZernikeGradBasis

lsst.ts.wep.utils.createZernikeGradBasis(u: ndarray, v: ndarray, jmax: int = 22, obscuration: float = 0.612) → ndarray

Create a basis of Zernike gradient polynomials for Noll indices >= 4.

This function is evaluated at the provided u and v coordinates, where these coordinates are normalized pupil coordinates. Normalized pupil coordinates are defined such that u^2 + v^2 = 1 is the edge of the pupil, and u^2 + v^2 = obscuration^2 is the edge of the central obscuration.

Parameters:

unp.ndarray

The x normalized pupil coordinate(s).

vnp.ndarray

The y normalized pupil coordinate(s). Must be same shape as u.

jmaxint

The maximum Noll index to fit (the default is 22)

obscurationfloat, optional

The fractional obscuration. (the default is 0.612, corresponding to the Simonyi Survey Telescope.)

Returns:

np.ndarray

Array of Zernike bases. First axis has length 2, corresponding to the u and v gradients. The second axis indexes the Zernike polynomials.