Modal approximation for plasmonic resonators in the time domain: the scalar case
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.
Cite
@article{arxiv.2102.05427,
title = {Modal approximation for plasmonic resonators in the time domain: the scalar case},
author = {Lorenzo Baldassari and Pierre Millien and Alice L. Vanel},
journal= {arXiv preprint arXiv:2102.05427},
year = {2021}
}