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Updated: Oct 14, 2025

Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle
Published on: January 3, 2016
Modal approximation for plasmonic resonators in the time domain: the scalar case
Lorenzo Baldassari1, Pierre Millien2, Alice L Vanel1
1Department of Mathematics, ETH Zürich, Rämistrasse 101, 8092 Zurich, Switzerland.
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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