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Coupled-mode theory for resonant gratings with a varying period
D.A. Bykov 1,2, E.A. Bezus 1,2, L.L. Doskolovich 1,2

1 IPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS,
443001, Samara, Russia, Molodogvardeyskaya 151;
2 Samara National Research University, 443086, Samara, Russia, Moskovskoye Shosse 34

 PDF, 4524 kB

DOI: 10.18287/2412-6179-CO-1232

Pages: 341-349.

Full text of article: Russian language.

Abstract:
We propose a coupled-mode theory for resonant diffraction gratings with a varying period. We consider diffractive structures, in which the reciprocal lattice vector, a quantity inversely proportional to the period, varies linearly in the direction of periodicity. It is shown that optical properties of such a structure essentially depend on the period change rate. On the basis of a comparison with the results of rigorous numerical simulations using the rigorous coupled-wave analysis, high accuracy of the proposed theoretical model is demonstrated. In particular, the developed coupled-mode theory describes the broadening of the resonant peak and the appearance of secondary maxima caused by a non-zero period change rate. The obtained results can be used for the development of linear variable filters based on resonant diffraction gratings with varying parameters.

Keywords:
resonance, grating, linearly varying filter, coupled-mode theory.

Citation:
Bykov DA, Bezus EA, Doskolovich LL. Coupled-mode theory for resonant gratings with a varying period. Computer Optics 2023; 47(3): 341-349. DOI: 10.18287/2412-6179-CO-1232.

Acknowledgements:
This work was funded by the Russian Science Foundation under project No. 22-12-00120 (development of the coupled-mode theory and investigation of varying-period gratings) and the Ministry of Science and Higher Education under a government project of the FSRC “Crystallography and Photonics” RAS (development of the numerical simulation software).

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