3 papers
math.AP2019
Dirac integral equations for dielectric and plasmonic scattering
Johan Helsing, Andreas Rosén
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 fa…
physics.comp-ph2019
An extended charge-current formulation of the electromagnetic transmission problem
Johan Helsing, Anders Karlsson
A boundary integral equation formulation is presented for the electromagnetic transmission problem where an incident electromagnetic wave is scattered from a bounded dielectric obj…
math.AP2016
Classification of spectra of the Neumann-Poincaré operator on planar domains with corners by resonance
Johan Helsing, Hyeonbae Kang, Mikyoung Lim
We study spectral properties of the Neumann-Poincaré operator on planar domains with corners with particular emphasis on existence of continuous spectrum and pure point spectrum. W…