Iacopo Mochi's Toolbox

Chebyshev polynomials are often used to represent the wavefront error of optical elements what have an X or Y symmetry, like cylindrical lenses and mirrors.

Zernike polynomials are often used to represent the wavefront error of optical systems. This script calculates the polynomials ordered with the Noll index.

I modelled a holographic lens as a pure phase object that reimages a point source at (0, 0, -200) into (0, 0, 200) with a numerical aperture of 0.005. This approach doesn't take into account multiple diffraction orders, although it is an easy functionality to add. The sliders allow to add some amount of wavefront error. Note that the Zernike terms are numbered with the Noll index. It is also possible to move the detector along the Z direction from the lens plane (Z = 0) to Z = 400.

I modelled a holographic lens as a pure phase object that reimages a point source at (0, 0, -200) into (0, 0, 200) with a numerical aperture ranging from 0.1 to 0.9. This program shows the spot diagram generated by a point source located at (X, Y, -200). When X and Y are not equal to 0, the field dependent aberrations distort the spot diagram. The program also shows a zoomed version of the spot diagram with the RMS radius of the raytraced spot.