Gaussian quadrature for optical design with noncircular pupils and fields, and broad wavelength range

Brian J. Bauman; Hong Xiao

doi:10.1117/12.872773

9 September 2010 Gaussian quadrature for optical design with noncircular pupils and fields, and broad wavelength range

Brian J. Bauman, Hong Xiao

Proceedings Volume 7652, International Optical Design Conference 2010; 76522S (2010) https://doi.org/10.1117/12.872773
Event: International Optical Design Conference 2010, 2010, Jackson Hole, WY, United States

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.

Citation Download Citation

Brian J. Bauman and Hong Xiao "Gaussian quadrature for optical design with noncircular pupils and fields, and broad wavelength range", Proc. SPIE 7652, International Optical Design Conference 2010, 76522S (9 September 2010); https://doi.org/10.1117/12.872773

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