Zernike.jl

Generates Zernike polynomials, models wavefront errors, and plots them using Makie.

This package can be added from the Julia REPL by:

using Pkg
Pkg.add(url="https://github.com/Sagnac/Zernike.jl", rev="stable")

or entering the package mode by pressing ] and entering:

add https://github.com/Sagnac/Zernike.jl#stable

It can then be loaded by typing using Zernike.

The package provides 3 main functions for modelling Zernike polynomials and wavefront errors:

• zernike(m, n): Generates a Zernike polynomial, prints its symbolic representation, and plots it using GLMakie;

• wavefront(ρ, θ, OPD, n_max): Fits wavefront errors up to radial order n_max given an input set of data over the pupil, returns the Zernike expansion coefficients & various metrics, and plots the modelled wavefront error using GLMakie;

• transform(v, ε, δ, ϕ, ω): Aperture transform function which takes a vector of Zernike expansion coefficients and a set of transformation factors and returns a new set of expansion coefficients over the transformed pupil; the wavefront error over the new pupil is also plotted using GLMakie.