Journal
MATHEMATICS
Volume 10, Issue 19, Pages -Publisher
MDPI
DOI: 10.3390/math10193542
Keywords
electromagnetism; quasinormal modes; non-Hermitian systems; optical cavities; nanophotonics
Categories
Funding
- Agence Nationale de la Recherche [ANR-16CE24-0013]
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This paper studies the role of static modes in the expansion of quasinormal modes, and shows that static modes have a significant contribution to the reconstruction of the electromagnetic field when computed with a specific solver.
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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