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On a Helmholtz transmission problem in planar domains with corners

Helsing, Johan LU and Karlsson, Anders LU (2018) In Journal of Computational Physics 371. p.315-332
Abstract

A particular mix of integral equations and discretization techniques is suggested for the solution of a planar Helmholtz transmission problem with relevance to the study of surface plasmon waves. The transmission problem describes the scattering of a time-harmonic transverse magnetic wave from an infinite dielectric cylinder with complex permittivity and sharp edges. Numerical examples illustrate that the resulting scheme is capable of obtaining total magnetic and electric fields to very high accuracy in the entire computational domain.

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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Corner singularity, Helmholtz equation, Nyström discretization, Scattering, Surface plasmon wave
in
Journal of Computational Physics
volume
371
pages
18 pages
publisher
Elsevier
external identifiers
  • scopus:85048160202
ISSN
0021-9991
DOI
10.1016/j.jcp.2018.05.044
language
English
LU publication?
yes
id
cf094989-a190-4b32-bd48-d566bc9f992c
date added to LUP
2018-06-20 14:30:40
date last changed
2018-11-21 21:40:28
@article{cf094989-a190-4b32-bd48-d566bc9f992c,
  abstract     = {<p>A particular mix of integral equations and discretization techniques is suggested for the solution of a planar Helmholtz transmission problem with relevance to the study of surface plasmon waves. The transmission problem describes the scattering of a time-harmonic transverse magnetic wave from an infinite dielectric cylinder with complex permittivity and sharp edges. Numerical examples illustrate that the resulting scheme is capable of obtaining total magnetic and electric fields to very high accuracy in the entire computational domain.</p>},
  author       = {Helsing, Johan and Karlsson, Anders},
  issn         = {0021-9991},
  keyword      = {Corner singularity,Helmholtz equation,Nyström discretization,Scattering,Surface plasmon wave},
  language     = {eng},
  month        = {10},
  pages        = {315--332},
  publisher    = {Elsevier},
  series       = {Journal of Computational Physics},
  title        = {On a Helmholtz transmission problem in planar domains with corners},
  url          = {http://dx.doi.org/10.1016/j.jcp.2018.05.044},
  volume       = {371},
  year         = {2018},
}