An extended charge-current formulation of the electromagnetic transmission problem
(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:
https://lup.lub.lu.se/record/ce14b401-89c5-46f7-aaa3-b670eaf22865
- author
- Helsing, Johan LU and Karlsson, Anders LU
- organization
- publishing date
- 2020-04-20
- 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}}, }