Zernike Polynomials for Wavefront Shape Representation
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Resource Overview
Zernike polynomials for wavefront shape representation, with this MATLAB program calculating Zernike polynomial coefficients including implementation of radial polynomials and angular functions
Detailed Documentation
In optical systems, the shape of the wavefront significantly impacts imaging quality. To better characterize wavefront shapes, researchers utilize Zernike polynomials for representation. These polynomials consist of a series of coefficients that can be computed using MATLAB programs, enabling more accurate wavefront characterization. The implementation typically involves calculating radial polynomials using recursive formulas and angular functions with trigonometric components, where specific MATLAB functions like zernike or custom implementations handle the orthogonal basis generation and coefficient determination through fitting algorithms.
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