wavefront¶
- pyoof.aperture.wavefront(rho, theta, K_coeff)[source]¶
Computes the wavefront (aberration) distribution, \(W(x, y)\). It tells how the error is distributed along the primary reflector
pr, it is related to the phase-error (phase). The wavefront aberration) distribution is described as a parametrization of the Zernike circle polynomials multiplied by a set of coefficients, \(K_{n\ell}\). For the package simplicity this function is considered dimensionless.- Parameters
- rho
Quantity Values for the radial component. \(\sqrt{x^2 + y^2} / \varrho_\mathrm{max}\) normalized by its maximum radius.
- theta
Quantity Values for the angular component (angle units), \(\vartheta = \mathrm{arctan}(y / x)\).
- K_coeff
ndarray Constants coefficients, \(K_{n\ell}\), for each of them there is only one Zernike circle polynomial, \(U^\ell_n(\varrho, \varphi)\).
- rho
- Returns
- W
ndarray Wavefront (aberration) distribution, \(W(x, y)\). Zernike circle polynomials already evaluated and multiplied by their coefficients.
- W
Notes
The wavefront (aberration) distribution it strictly related to the Zernike circle polynomials through the expression,
\[W(\varrho, \vartheta) = \sum_{n, \ell}K_{n\ell}U^\ell_n(\varrho, \vartheta).\]
