createZernikeBasis

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

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

This function is evaluated on a grid of normalized pupil 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

Zernike bases. The first axis indexes the Zernike polynomials.