15 May 1997 Modal method by Fourier expansion for modeling crossed gratings
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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.
© (1997) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Lifeng Li, Lifeng Li, } "Modal method by Fourier expansion for modeling crossed gratings", Proc. SPIE 3010, Diffractive and Holographic Device Technologies and Applications IV, (15 May 1997); doi: 10.1117/12.274421; https://doi.org/10.1117/12.274421
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