zernike(m, n) | zernike(j)

Generates a Zernike polynomial.

• m: azimuthal order;
• n: radial degree;
• j: ANSI Z80.28-2004 / ISO 24157:2008 / Optica (OSA) standard single-mode ordering index.

Returns a Zernike.Output type which contains (among other things):

• Z: the Polynomial function Z(ρ, θ);
• fig: the Makie figure;
• coeffs: vector of radial polynomial coefficients;
• latex: LaTeX string of the Zernike polynomial;
• unicode: Unicode string of the Zernike polynomial.

The coefficients belong to terms with exponent n − 2(i − 1) where i is the vector's index.

The radial polynomial coefficients are computed using a fast and accurate algorithm suitable for high orders; it is based on a recursive relation presented by Honarvar & Paramesran (2013).