Basic Wavefront Aberration Theory for Optical Metrology

Zernike polynomials have three properties that distinguish them from other sets of orthogonal polynomials. First, they have simple rotational symmetry properties that lead to a polynomial product of the form (49) where G (θ′ ) is a continuous function that …

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  Polynomials, Zernike polynomials, Zernike

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13 Fresnel Diffraction - University of Arizona

wyant.optics.arizona.edu

l z2 H x 2+ y L Å- Å- I Pupil@ x ,h D È É þþþþþþþþ p H z1þþþþþþþþ+ z2þ þ þ þþ L l z1 z2 H x 2+h 2L M È-É þþþ þþ þþþþ 2 p l z2 H xx+ yh L Ç Çxh Let rmax be the maximum value of !!!!! ! H x 2+h 2L and nFZones be the number of Fresnel zones in …

  Diffraction, Fresnel, 13 fresnel diffraction

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Fourier Analysis in Polar and Spherical Coordinates

lmb.informatik.uni-freiburg.de

The Zernike polynomials are a set of orthogonal polynomials defined on a unit disk, which have the same angular part as (4). The SH transform works on the spherical surface. When it is used for 3D volume data, the SH features (extracted from SH coefficients) can be calculated

  Fourier, Polynomials, Zernike polynomials, Zernike

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