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Proceedings Paper

Modal method by Fourier expansion for modeling crossed gratings
Author(s): Lifeng Li
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Paper Abstract

A new formulation of the modal method by Fourier expansion (MMFE), that uses the correct rules of Fourier factorization, for crossed surface-relief gratings is presented. By numerical examples, the new MMFE is shown to converge much faster than the old MMFE. For the first time the MMFE is used to produce convergent numerical results for metallic crossed gratings. In addition, the new formulation uses a general non-rectangular Cartesian coordinate system, which gives the MMFE greater generality and in some cases the ability to save computer memory and computation time. Two matrix truncation schemes, the customary parallelogramic truncation and a new circular truncation, are considered. Numerical experiments show that the former is superior.

Paper Details

Date Published: 15 May 1997
PDF: 12 pages
Proc. SPIE 3010, Diffractive and Holographic Device Technologies and Applications IV, (15 May 1997); doi: 10.1117/12.274421
Show Author Affiliations
Lifeng Li, Optical Sciences Ctr./Univ. of Arizona (United States)

Published in SPIE Proceedings Vol. 3010:
Diffractive and Holographic Device Technologies and Applications IV
Ivan Cindrich; Sing H. Lee, Editor(s)

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