Dirac integral equations for dielectric and plasmonic scattering
Abstract
A new integral equation formulation is presented for the Maxwell transmission problem in Lipschitz domains. It builds on the Cauchy integral for the Dirac equation, is free from false eigenwavenumbers for a wider range of permittivities than other known formulations, can be used for magnetic materials, is applicable in both two and three dimensions, and does not suffer from any low-frequency breakdown. Numerical results for the two-dimensional version of the formulation, including examples featuring surface plasmon waves, demonstrate competitiveness relative to state-of-the-art integral formulations that are constrained to two dimensions. However, our Dirac integral equation performs equally well in three dimensions, as demonstrated in a companion paper.
Cite
@article{arxiv.1911.00788,
title = {Dirac integral equations for dielectric and plasmonic scattering},
author = {Johan Helsing and Andreas Rosén},
journal= {arXiv preprint arXiv:1911.00788},
year = {2021}
}
Comments
36 pages, 9 figures