Mathematical analysis of plasmonic nanoparticles: the scalar case

DOI10.1007/s00205-017-1084-5zbMath1375.35515arXiv1506.00866OpenAlexW602882237MaRDI QIDQ524297

Pierre Millien, Hai Zhang, Habib Ammari, Matias Ruiz

Publication date: 2 May 2017

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.00866

zbMATH Keywords

Helmholtz equation integral equation method transmission problem nanoparticles low frequency asymptotics plane wave scattering plasmonic resonances

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Scattering theory for PDEs (35P25) Diffraction, scattering (78A45) Asymptotic expansions of solutions to PDEs (35C20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Statistical mechanics of nanostructures and nanoparticles (82D80)

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