26 December 2001 Fourier modal method for crossed anisotropic gratings
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A Fourier modal method for analyzing crossed anisotropic gratings is presented. No restriction is imposed on the permittivity tensor of the medium in the grating region. A skew Cartesian coordinate system with skew angles both in and out of the grating plane is used in the mathematical derivation, which gives the formulation a greater generality. However, the facets of the crossed gratings are required to be parallel to the skew coordinate surfaces. Correct Fourier factorization of Maxwell's equations is carried out with aid of two efficient operators that greatly simplify otherwise complicated notation. Numerical curves are presented to demonstrate the convergence of the method, and numerical values are tabulated to provide reference data.
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Lifeng Li "Fourier modal method for crossed anisotropic gratings", Proc. SPIE 4438, Physics, Theory, and Applications of Periodic Structures in Optics, (26 December 2001); doi: 10.1117/12.451486; https://doi.org/10.1117/12.451486

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