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Proceedings Paper

Gaussian quadrature for optical design with noncircular pupils and fields, and broad wavelength range
Author(s): Brian J. Bauman; Hong Xiao
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Paper Abstract

Forbes introduced the usage of Gaussian quadratures in optical design for circular pupils and fields, and for a specific visible wavelength band. In this paper, Gaussian quadrature methods of selecting rays in ray-tracing are derived for noncircular pupil shapes, such as obscured and vignetted apertures. In addition, these methods are generalized for square fields, and for integrating performance over arbitrary wavelength bands. Integration over wavelength is aided by the use of a novel chromatic coordinate. These quadratures achieve low calculations with fewer rays (by orders of magnitude) than uniform sampling schemes.

Paper Details

Date Published: 9 September 2010
PDF: 12 pages
Proc. SPIE 7652, International Optical Design Conference 2010, 76522S (9 September 2010); doi: 10.1117/12.872773
Show Author Affiliations
Brian J. Bauman, Lawrence Livermore National Lab. (United States)
Hong Xiao, Univ. of California, Davis (United States)


Published in SPIE Proceedings Vol. 7652:
International Optical Design Conference 2010
Julie Bentley; Anurag Gupta; Richard N. Youngworth, Editor(s)

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