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Proceedings Paper

Ray tracing through arbitrary DOE based on Fermat's principle
Author(s): Liping Zhao; Minxian Wu; Guofan Jin; Weizhen Yan
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Paper Abstract

Based on Fermat’s Principle, a set of formulae for ray tracing through diffractive optical elements is derived in this paper. These formulae do not involve the calculation of local fringe spacing and direction, and take a simple, Snell’s-Law-like form. Yet they are completely general, and can be applied to diffractive optical elements with arbitrary continuous phase function formed on substrates of arbitrary shape. Then the concept of the extended Snell’s law, which is applicable to any kind of surfaces, is presented, and so make it easy to improve the traditional optical program into a hybrid one with the ability to design and analyze diffractive and hybrid elements. Some testing experiments have been made by using a diffractive optical lens with large astigmatism. The computational results are compared with experimental data, and the correctness of the formulae is verified.

Paper Details

Date Published: 25 September 1997
PDF: 7 pages
Proc. SPIE 3130, Lens Design, Illumination, and Optomechanical Modeling, (25 September 1997); doi: 10.1117/12.284066
Show Author Affiliations
Liping Zhao, Tsinghua Univ. (United States)
Minxian Wu, Tsinghua Univ. (China)
Guofan Jin, Tsinghua Univ. (China)
Weizhen Yan, Tsinghua Univ. (China)


Published in SPIE Proceedings Vol. 3130:
Lens Design, Illumination, and Optomechanical Modeling
R. Barry Johnson; Robert E. Fischer; R. Barry Johnson; Richard C. Juergens; Richard C. Juergens; Paul R. Yoder Jr.; Warren J. Smith; Paul R. Yoder Jr., Editor(s)

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