Quasi-normal mode theory enforcing symmetries of the scattering matrix

Mohammed Benzaouia; John D. Joannopoulos; Steven G. Johnson; Aristeidis Karalis

doi:10.1117/12.2633214

3 October 2022 Quasi-normal mode theory enforcing symmetries of the scattering matrix

Mohammed Benzaouia, John D. Joannopoulos, Steven G. Johnson, Aristeidis Karalis

Proceedings Volume 12195, Metamaterials, Metadevices, and Metasystems 2022; 1219508 (2022) https://doi.org/10.1117/12.2633214
Event: SPIE Nanoscience + Engineering, 2022, San Diego, California, United States

Abstract

We develop a quasinormal mode theory (QNMT) of the scattering matrix S, satisfying fundamental symmetries (such as reciprocity and time-reversal or PT symmetries) even for a small truncated set of resonances. It is a useful and accurate reduced-order model for S based on the resonant frequencies and mode-to-port coupling coefficients, obtained from an eigensolver without the need for QNM normalization. We further show that a slowly varying background, useful to describe Fano-shaped spectra, can be extracted using high-loss modes. We demonstrate the improved accuracy of our formulation using various electromagnetic metasurfaces.

Conference Presentation

Citation Download Citation

Mohammed Benzaouia, John D. Joannopoulos, Steven G. Johnson, and Aristeidis Karalis "Quasi-normal mode theory enforcing symmetries of the scattering matrix", Proc. SPIE 12195, Metamaterials, Metadevices, and Metasystems 2022, 1219508 (3 October 2022); https://doi.org/10.1117/12.2633214

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