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On obtaining the coupled-mode theory using a model of coupled plane waves for symmetric resonant diffraction gratings
D.A. Bykov 1,2, E.A. Bezus 1,2, L.L. Doskolovich 1,2

1 Image Processing Systems Institute, NRC "Kurchatov Institute",
443001, Samara, Russia, Molodogvardeyskaya 151;
2 Samara National Research University, 443086, Samara, Russia, Moskovskoye Shosse 34

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DOI: 10.18287/2412-6179-CO-1398

Pages: 491-500.

Abstract:
We consider two analytical models describing resonant scattering of light by resonant diffraction gratings possessing a horizontal symmetry plane. For the case of oblique incidence, a multiple interference model is formulated, on the basis of which, a new approach for deriving the coupled-mode theory for the considered structures is proposed. Both considered models describe resonances in the reflectance and transmittance spectra of the studied diffraction gratings arising due to the excitation of quasiguided modes and Fabry–Pérot modes. Interaction of these modes leads to the appearance of bound states in the continuum, which are also described by the proposed models.

Keywords:
coupled-mode theory, coupled plane waves model, multiple interference model, resonant diffraction grating, Fano resonance, scattering matrix.

Citation:
Bykov DA, Bezus EA, Doskolovich LL. On obtaining the coupled-mode theory using a model of coupled plane waves for symmetric resonant diffraction gratings. Computer Optics 2024; 48(4): 491-500. DOI: 10.18287/2412-6179-CO-1398.

Acknowledgements:
This work was funded by the Russian Science Foundation (project 22-12-00120; derivation of the coupled-mode theory) and within the State assignment to the NRC "Kurchatov Institute" (development of the numerical simulation software).

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