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Direct S-matrix calculation for diffractive structures and metasurfaces

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posted on 2023-11-30, 17:43 authored by Alexey A. Shcherbakov, Yury V. Stebunov, Denis F. Baidin, Thomas Kampfe, Yves Jourlin
The paper presents a derivation of analytical components of S-matrices for arbitrary planar diffractive structures and metasurfaces in the Fourier domain. Attained general formulas for S-matrix components can be applied within both formulations in the Cartesian and curvilinear metric. A numerical method based on these results can benefit from all previous improvements of the Fourier domain methods. In addition, we provide expressions for S-matrix calculation in case of periodically corrugated layers of 2D materials, which are valid for arbitrary corrugation depth-to-period ratios. As an example the derived equations are used to simulate resonant grating excitation of graphene plasmons and an impact of silica interlayer on corresponding reflection curves.

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