Role of Static Modes in Quasinormal Modes Expansions: When and How to Take Them into Account?
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...
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MDPI AG
2022-09-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/19/3542 |
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| author | Mondher Besbes Christophe Sauvan |
| author_facet | Mondher Besbes Christophe Sauvan |
| author_sort | Mondher Besbes |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-09T21:28:47Z |
| format | Article |
| id | doaj.art-a1c0e6c01eea4e3a8a25b1f21db58cc8 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T21:28:47Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-a1c0e6c01eea4e3a8a25b1f21db58cc82023-11-23T21:03:16ZengMDPI AGMathematics2227-73902022-09-011019354210.3390/math10193542Role of Static Modes in Quasinormal Modes Expansions: When and How to Take Them into Account?Mondher Besbes0Christophe Sauvan1Université Paris-Saclay, Institut d’Optique Graduate School, CNRS, Laboratoire Charles Fabry, 91127 Palaiseau, FranceUniversité Paris-Saclay, Institut d’Optique Graduate School, CNRS, Laboratoire Charles Fabry, 91127 Palaiseau, FranceThe 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.https://www.mdpi.com/2227-7390/10/19/3542electromagnetismquasinormal modesnon-Hermitian systemsoptical cavitiesnanophotonics |
| spellingShingle | Mondher Besbes Christophe Sauvan Role of Static Modes in Quasinormal Modes Expansions: When and How to Take Them into Account? Mathematics electromagnetism quasinormal modes non-Hermitian systems optical cavities nanophotonics |
| title | Role of Static Modes in Quasinormal Modes Expansions: When and How to Take Them into Account? |
| title_full | Role of Static Modes in Quasinormal Modes Expansions: When and How to Take Them into Account? |
| title_fullStr | Role of Static Modes in Quasinormal Modes Expansions: When and How to Take Them into Account? |
| title_full_unstemmed | Role of Static Modes in Quasinormal Modes Expansions: When and How to Take Them into Account? |
| title_short | Role of Static Modes in Quasinormal Modes Expansions: When and How to Take Them into Account? |
| title_sort | role of static modes in quasinormal modes expansions when and how to take them into account |
| topic | electromagnetism quasinormal modes non-Hermitian systems optical cavities nanophotonics |
| url | https://www.mdpi.com/2227-7390/10/19/3542 |
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