29 November 2007 Methods to determine best-fit sphere for off-axis aspheric surface
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Proceedings Volume 6722, 3rd International Symposium on Advanced Optical Manufacturing and Testing Technologies: Advanced Optical Manufacturing Technologies; 672245 (2007) https://doi.org/10.1117/12.783644
Event: 3rd International Symposium on Advanced Optical Manufacturing and Testing Technologies: Large Mirrors and Telescopes, 2007, Chengdu, China
Abstract
In this paper we present an approach which can calculate the radius R of best-fit sphere in optical replication of off-axis aspheric surface. For regular shape, we choose the marginal points as constraint condition to get the radius R of best-fit sphere, which satisfies the root mean square of asphericity minimal. The aspheric rms under different constraints can be compared on the condition that the optical parameters, such as the paraxial radius R0 and conic constant k, are same for the parent aspheric surface of the circle, sector and regular hexagon-shaped off-axis aspheric surfaces. Moreover, we used the Golden Section Method and Cyclic Coordinate Method for optimization to solve the rms, and analyze the constraint conditions for the best-fit spheres.
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Li-xin Zheng, Zheng Zhu, "Methods to determine best-fit sphere for off-axis aspheric surface", Proc. SPIE 6722, 3rd International Symposium on Advanced Optical Manufacturing and Testing Technologies: Advanced Optical Manufacturing Technologies, 672245 (29 November 2007); doi: 10.1117/12.783644; https://doi.org/10.1117/12.783644
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