Wavefront Fitting for Aspheric Mirrors

Resource Overview

This program specializes in wavefront fitting for aspheric mirrors. It begins by importing discrete surface data, which can be sampled from ellipsoids, paraboloids, or obtained through computational software. The core algorithm employs Zernike polynomial fitting to derive coefficients for the aspheric surface equation, implementing numerical optimization techniques for coefficient calculation.

Detailed Documentation

This program is primarily designed for wavefront fitting of aspheric mirrors. Wavefront fitting is a mathematical technique used to characterize surface shapes of optical components. The implementation involves reading discrete surface data points, which may originate from sampled ellipsoidal/parabolic surfaces or computational outputs from other software platforms. The fitting process utilizes Zernike polynomials through a least-squares approximation algorithm to determine coefficients for the aspheric surface equation. These coefficients enable the generation of mathematical models for aspheric mirrors, facilitating subsequent analysis and optimization procedures. Key functions include data normalization, Zernike basis generation, and matrix inversion for coefficient solving. This technology finds practical applications in optical component design/manufacturing and other fields requiring precise shape characterization of non-spherical surfaces.