Modal approximation for plasmonic resonators in the time domain: the scalar case
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Date
2021
Publication Type
Journal Article
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yes
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Abstract
We study the electromagnetic field scattered by a metallic nanoparticle with dispersive material parameters in a resonant regime. We consider the particle placed in a homogeneous medium in a low-frequency regime. We define modes for the non-Hermitian problem as perturbations of electro-static modes, and obtain a modal approximation of the scattered field in the frequency domain. The poles of the expansion correspond to the eigenvalues of a singular boundary integral operator and are shown to lie in a bounded region near the origin of the lower-half complex plane. Finally, we show that this modal representation gives a very good approximation of the field in the time domain. We present numerical simulations in two dimensions to corroborate our results.
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published
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Journal / series
Volume
2 (4)
Pages / Article No.
46
Publisher
Springer
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Subject
Plasmonic resonance; Time-domain modal expansion; Subwavelength resonators; Quasi-normal modes
Organisational unit
02000 - Dep. Mathematik / Dep. of Mathematics
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Funding
172483 - Mathematics for bio-inspired imaging (SNF)