ImageSidedJonesExpansion¶
Type: | Matrix<float> |
---|---|
Range: | [v_11, …, v_1j; …; v_i1, …; v_ij], j<=4 |
Default: | -/- |
Appearance: | optional |
This vector parameter is used to define the image-sided Jones aberration function as introduced in the parent section OpticalSystem. This is done by means of an expansion into Zernike polynomials.
Note
The 2-by-2 Jones matrix acts on the components of the electric field in the pupil plane.
As the amplitude of the normalized coordinate vector ranges from to , components of the Jones matrix are defined on the unit disk and one may switch to polar coordinates ,
The Jones aberration matrix is expanded into Zernike polynomials,
where are the Zernike polynomials and are the 2-by-2 matrix expansion coefficients as passed by the discussed vector parameter. Hereby, four subsequent entries of the parameter vector form a matrix . E.g. the input may look like this:
JonesExpansion = [ J1_11 J1_12
J1_21 J2_22
J2_11 J2_12
J2_21 J2_22
...
]
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 Jones pupil coefficient. There, the index pair can be used.