On a Helmholtz transmission problem in planar domains with corners
(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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https://lup.lub.lu.se/record/cf094989-a190-4b32-bd48-d566bc9f992c
- author
- Helsing, Johan LU and Karlsson, Anders LU
- organization
- publishing date
- 2018-10-15
- 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
- 2022-04-10 00:21:36
@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}}, keywords = {{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}}, doi = {{10.1016/j.jcp.2018.05.044}}, volume = {{371}}, year = {{2018}}, }