PhaseExpansion¶
Type: | Vector<float> |
---|---|
Range: | [v_1, …] |
Default: | -/- |
Appearance: | optional |
This vector parameter is used to define the phase aberration function as introduced in the parent section OpticalSystem. This is done by means of an expansion into Zernike polynomials.
As the amplitude of normalized coordinate vector ranges from to , the phase aberration function is defined on the unit disk and one may switch to polar coordinates ,
The phase aberration function is expanded into Zernike polynomials,
where are the Zernike polynomials and are the expansion coefficients as passed by the discussed vector parameter.
Warning
Different orderings and different scalings of the Zernike polynomials are in use. The section Zernike Polynomials in the appendix gives a detailed definition of the Zernike polynomials as used in JCMsuite
.
Section ZernikeCoefficient allows for an alternative definition of a phase aberration coefficient. There, the index pair can be used.