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An extended charge-current formulation of the electromagnetic transmission problem

Helsing, Johan LU and Karlsson, Anders LU (2020) In SIAM Journal on Applied Mathematics 80(2). p.951-976
Abstract

A boundary integral equation formulation is presented for the electromagnetic transmission problem where an incident electromagnetic wave is scattered from a bounded dielectric object. The formulation provides unique solutions for all wavenumbers in the closed upper half-plane belonging to argument sets for which Maxwell's equations have unique solutions. This includes the challenging combination of a real positive wavenumber in the outer region and an imaginary wavenumber inside the object. The formulation, or variants thereof, is particularly suitable for numerical field evaluations as confirmed by examples involving both smooth and nonsmooth objects.

Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Electromagnetic scattering, Maxwell's equations, Surface plasmon wave, Transmission problem
in
SIAM Journal on Applied Mathematics
volume
80
issue
2
pages
26 pages
publisher
Society for Industrial and Applied Mathematics
external identifiers
  • scopus:85084456534
ISSN
0036-1399
DOI
10.1137/19M1286803
language
English
LU publication?
yes
id
ce14b401-89c5-46f7-aaa3-b670eaf22865
date added to LUP
2020-06-15 09:04:26
date last changed
2022-04-18 22:48:59
@article{ce14b401-89c5-46f7-aaa3-b670eaf22865,
  abstract     = {{<p>A boundary integral equation formulation is presented for the electromagnetic transmission problem where an incident electromagnetic wave is scattered from a bounded dielectric object. The formulation provides unique solutions for all wavenumbers in the closed upper half-plane belonging to argument sets for which Maxwell's equations have unique solutions. This includes the challenging combination of a real positive wavenumber in the outer region and an imaginary wavenumber inside the object. The formulation, or variants thereof, is particularly suitable for numerical field evaluations as confirmed by examples involving both smooth and nonsmooth objects.</p>}},
  author       = {{Helsing, Johan and Karlsson, Anders}},
  issn         = {{0036-1399}},
  keywords     = {{Electromagnetic scattering; Maxwell's equations; Surface plasmon wave; Transmission problem}},
  language     = {{eng}},
  month        = {{04}},
  number       = {{2}},
  pages        = {{951--976}},
  publisher    = {{Society for Industrial and Applied Mathematics}},
  series       = {{SIAM Journal on Applied Mathematics}},
  title        = {{An extended charge-current formulation of the electromagnetic transmission problem}},
  url          = {{http://dx.doi.org/10.1137/19M1286803}},
  doi          = {{10.1137/19M1286803}},
  volume       = {{80}},
  year         = {{2020}},
}