Algorithm for computation of off-axis aspheric surface parameters

Shu Li; Yuegang Fu

doi:10.1117/12.783417

17 January 2008 Algorithm for computation of off-axis aspheric surface parameters

Shu Li, Yuegang Fu

Proceedings Volume 6723, 3rd International Symposium on Advanced Optical Manufacturing and Testing Technologies: Optical Test and Measurement Technology and Equipment; 672336 (2008) https://doi.org/10.1117/12.783417
Event: 3rd International Symposium on Advanced Optical Manufacturing and Testing Technologies: Large Mirrors and Telescopes, 2007, Chengdu, China

Abstract

To help the fabrication of off-axis aspheric section, we present an algorithm to calculate current surface parameters, such as lateral displacement, tilt angle and paraxial radius. This algorithm bases on the equation for conic aspheric surface and general geometry transformation matrix of three-dimension graphics, and deduces an equation about the coordinate and surface parameters. In order to solve this problem, we developed a new software based on Conjugate Direction Method to minimize the RMS of deviation. By using the software, the efficiency of test increases obviously and the accuracy of test is perfect because this method can avoid the effect of transfer and rotation of surface data.

Citation Download Citation

Shu Li and Yuegang Fu "Algorithm for computation of off-axis aspheric surface parameters", Proc. SPIE 6723, 3rd International Symposium on Advanced Optical Manufacturing and Testing Technologies: Optical Test and Measurement Technology and Equipment, 672336 (17 January 2008); https://doi.org/10.1117/12.783417

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