Dirac Integral Equations for Dielectric and Plasmonic Scattering
(2021) In Integral Equations and Operator Theory 93(5).- Abstract
A new integral equation formulation is presented for the Maxwell transmission problem in Lipschitz domains. It builds on the Cauchy integral for the Dirac equation, is free from false eigenwavenumbers for a wider range of permittivities than other known formulations, can be used for magnetic materials, is applicable in both two and three dimensions, and does not suffer from any low-frequency breakdown. Numerical results for the two-dimensional version of the formulation, including examples featuring surface plasmon waves, demonstrate competitiveness relative to state-of-the-art integral formulations that are constrained to two dimensions. However, our Dirac integral equation performs equally well in three dimensions, as demonstrated in... (More)
A new integral equation formulation is presented for the Maxwell transmission problem in Lipschitz domains. It builds on the Cauchy integral for the Dirac equation, is free from false eigenwavenumbers for a wider range of permittivities than other known formulations, can be used for magnetic materials, is applicable in both two and three dimensions, and does not suffer from any low-frequency breakdown. Numerical results for the two-dimensional version of the formulation, including examples featuring surface plasmon waves, demonstrate competitiveness relative to state-of-the-art integral formulations that are constrained to two dimensions. However, our Dirac integral equation performs equally well in three dimensions, as demonstrated in a companion paper.
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- author
- Helsing, Johan LU and Rosén, Andreas
- organization
- publishing date
- 2021-10
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Boundary integral equation, Clifford–Cauchy integral, Maxwell scattering, Non-smooth object, Nyström discretization, Spurious resonances, Surface plasmon wave
- in
- Integral Equations and Operator Theory
- volume
- 93
- issue
- 5
- article number
- 48
- publisher
- Springer
- external identifiers
-
- scopus:85112285416
- ISSN
- 0378-620X
- DOI
- 10.1007/s00020-021-02657-1
- language
- English
- LU publication?
- yes
- id
- fddd5764-c8fd-42c8-bcf2-d278006d2606
- date added to LUP
- 2021-09-08 13:35:09
- date last changed
- 2022-04-27 03:47:50
@article{fddd5764-c8fd-42c8-bcf2-d278006d2606,
abstract = {{<p>A new integral equation formulation is presented for the Maxwell transmission problem in Lipschitz domains. It builds on the Cauchy integral for the Dirac equation, is free from false eigenwavenumbers for a wider range of permittivities than other known formulations, can be used for magnetic materials, is applicable in both two and three dimensions, and does not suffer from any low-frequency breakdown. Numerical results for the two-dimensional version of the formulation, including examples featuring surface plasmon waves, demonstrate competitiveness relative to state-of-the-art integral formulations that are constrained to two dimensions. However, our Dirac integral equation performs equally well in three dimensions, as demonstrated in a companion paper.</p>}},
author = {{Helsing, Johan and Rosén, Andreas}},
issn = {{0378-620X}},
keywords = {{Boundary integral equation; Clifford–Cauchy integral; Maxwell scattering; Non-smooth object; Nyström discretization; Spurious resonances; Surface plasmon wave}},
language = {{eng}},
number = {{5}},
publisher = {{Springer}},
series = {{Integral Equations and Operator Theory}},
title = {{Dirac Integral Equations for Dielectric and Plasmonic Scattering}},
url = {{http://dx.doi.org/10.1007/s00020-021-02657-1}},
doi = {{10.1007/s00020-021-02657-1}},
volume = {{93}},
year = {{2021}},
}