modal approximation
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Author(s):  
Lorenzo Baldassari ◽  
Pierre Millien ◽  
Alice L. Vanel

AbstractWe 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.


2018 ◽  
Vol 121 (24) ◽  
Author(s):  
Gerhard Unger ◽  
Andreas Trügler ◽  
Ulrich Hohenester

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