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arXiv · 2102.05427

Modal approximation for plasmonic resonators in the time domain: the scalar case

Lorenzo Baldassari·Pierre Millien·Alice L. Vanel
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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 electrostatic 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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Lorenzo Baldassari, Pierre Millien, Alice L. Vanel. 2021-02-10. Modal approximation for plasmonic resonators in the time domain: the scalar case. https://arxiv.org/abs/2102.05427

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