Role of Static Modes in Quasinormal Modes Expansions: When and How to Take Them into Account? - Institut d'Optique Graduate School Access content directly
Journal Articles Mathematics Year : 2022

Role of Static Modes in Quasinormal Modes Expansions: When and How to Take Them into Account?

Abstract

The scattering of electromagnetic waves by a resonator is determined by the excitation of the eigenmodes of the system. In the case of open resonators made of absorbing materials, the system is non-Hermitian, and the eigenmodes are quasinormal modes. Among the whole set of quasinormal modes, static modes (modes with a zero eigenfrequency) occupy a specific place. We study the role of static modes in quasinormal modes expansions calculated with a numerical solver implemented with the finite-element method. We show that, in the case of a dielectric permittivity described by a Lorentz model, static modes markedly contribute to the electromagnetic field reconstruction but are incorrectly calculated with a solver designed to compute modes with non-zero eigenfrequencies. We propose to solve this issue by adding to the solver a separate, specific computation of the static modes.
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Dates and versions

hal-03853137 , version 1 (15-11-2022)

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Mondher Besbes, Christophe Sauvan. Role of Static Modes in Quasinormal Modes Expansions: When and How to Take Them into Account?. Mathematics , 2022, 10 (19), pp.3542. ⟨10.3390/math10193542⟩. ⟨hal-03853137⟩
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