Abstract

The problem of diffraction by snake gratings is presented and formulated as an eigenvalue eigenvector problem. A numerical solution is obtained thanks to the method of moments where a tensor product of pseudo-periodic functions and Legendre polynomials is used as expansion and test functions. The method is validated by comparison with the usual Fourier modal method (FMM) as applied to crossed gratings. Our method is shown to be more efficient than the FMM in the case of metallic gratings.

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Polynomial modal analysis of slanted lamellar gratings

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J. Opt. Soc. Am. A 34(6) 975-982 (2017)

Polynomial modal analysis of lamellar diffraction gratings in conical mounting

Manjakavola Honore Randriamihaja, Gérard Granet, Kofi Edee, and Karyl Raniriharinosy
J. Opt. Soc. Am. A 33(9) 1679-1686 (2016)

Spectral element method with modified Legendre polynomials for modal analysis of lamellar gratings

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Longitudinal Legendre polynomial expansion of electromagnetic fields for analysis of arbitrary-shaped gratings

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Modal method based on subsectional Gegenbauer polynomial expansion for lamellar gratings

Kofi Edee
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