Comparison of integral equations for the Maxwell transmission problem with general permittivities
(2021) In Advances in Computational Mathematics 47(5).- Abstract
Two recently derived integral equations for the Maxwell transmission problem are compared through numerical tests on simply connected axially symmetric domains for non-magnetic materials. The winning integral equation turns out to be entirely free from false eigenwavenumbers for any passive materials, also for purely negative permittivity ratios and in the static limit, as well as free from false essential spectrum on non-smooth surfaces. It also appears to be numerically competitive to all other available integral equation reformulations of the Maxwell transmission problem, despite using eight scalar surface densities.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/5d296630-460a-4a5c-b995-bb25770a0f79
- author
- Helsing, Johan LU ; Karlsson, Anders LU and Rosén, Andreas
- organization
- publishing date
- 2021-10
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Boundary integral equation, Electromagnetic scattering, Maxwell’s equations, Non-smooth object, Surface plasmon wave, Transmission problem
- in
- Advances in Computational Mathematics
- volume
- 47
- issue
- 5
- article number
- 76
- publisher
- Springer
- external identifiers
-
- scopus:85117341855
- ISSN
- 1019-7168
- DOI
- 10.1007/s10444-021-09904-4
- language
- English
- LU publication?
- yes
- id
- 5d296630-460a-4a5c-b995-bb25770a0f79
- date added to LUP
- 2021-12-16 16:02:21
- date last changed
- 2022-04-27 06:44:16
@article{5d296630-460a-4a5c-b995-bb25770a0f79, abstract = {{<p>Two recently derived integral equations for the Maxwell transmission problem are compared through numerical tests on simply connected axially symmetric domains for non-magnetic materials. The winning integral equation turns out to be entirely free from false eigenwavenumbers for any passive materials, also for purely negative permittivity ratios and in the static limit, as well as free from false essential spectrum on non-smooth surfaces. It also appears to be numerically competitive to all other available integral equation reformulations of the Maxwell transmission problem, despite using eight scalar surface densities.</p>}}, author = {{Helsing, Johan and Karlsson, Anders and Rosén, Andreas}}, issn = {{1019-7168}}, keywords = {{Boundary integral equation; Electromagnetic scattering; Maxwell’s equations; Non-smooth object; Surface plasmon wave; Transmission problem}}, language = {{eng}}, number = {{5}}, publisher = {{Springer}}, series = {{Advances in Computational Mathematics}}, title = {{Comparison of integral equations for the Maxwell transmission problem with general permittivities}}, url = {{http://dx.doi.org/10.1007/s10444-021-09904-4}}, doi = {{10.1007/s10444-021-09904-4}}, volume = {{47}}, year = {{2021}}, }