Ab initio spatial coupled-mode theory of Fano resonances in optical responses of multilayer interference resonators

Dmitry V. Nesterenko, Shinji Hayashi, and Victor Soifer
Phys. Rev. A 106, 023507 – Published 10 August 2022

Abstract

To reveal origins of resonance characteristics of multilayer interference structures, we developed an ab initio spatial coupled-mode theory using the approximations of general electromagnetic theory of wave propagation in stratified media. In contrast to the conventional coupled-mode theory, the coefficients of developed coupled-mode models, which describe the Fano resonance behavior of interference field enhancement, are given by analytical functions of structural and optical parameters of the resonance systems. The results of analytical modeling of low- and high-loss resonator systems supporting waveguide, Fabry-Pérot, symmetric, and antisymmetric plasmonic normal modes agree very well with electromagnetic numerical simulations. We demonstrate also that the conventional spatial phenomenological coupled-mode theory is accurate only for low-loss structures.

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  • Received 12 November 2021
  • Revised 13 March 2022
  • Accepted 13 July 2022

DOI:https://doi.org/10.1103/PhysRevA.106.023507

©2022 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalParticles & Fields

Authors & Affiliations

Dmitry V. Nesterenko1,2,*, Shinji Hayashi3,4, and Victor Soifer1,2

  • 1Diffractive Optics Laboratory, Image Processing Systems Institute – Branch of the Federal Scientific Research Centre “Crystallography and Photonics” of Russian Academy of Sciences, Samara 443001, Russia
  • 2Institute of Informatics and Cybernetics, Samara National Research University, Samara 443086, Russia
  • 3Department of Electrical and Electronic Engineering, Graduate School of Engineering, Kobe University, Kobe 657-8501, Japan
  • 4Optics and Photonics Center, Moroccan Foundation for Science, Innovation and Research (MAScIR), University Mohammed VI Polytechnic, Rabat 10100, Morocco

  • *nesterenko@ssau.ru

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Issue

Vol. 106, Iss. 2 — August 2022

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