On spurious solutions encountered in Helmholtz scattering resonance computations in Rd with applications to nano-photonics and acoustics
(2021) In Journal of Computational Physics 429.- Abstract
In this paper, we consider a sorting scheme for potentially spurious scattering resonant pairs in one- and two-dimensional electromagnetic problems and in three-dimensional acoustic problems. The novel sorting scheme is based on a Lippmann-Schwinger type of volume integral equation and can, therefore, be applied to structures with graded materials as well as to configurations including piece-wise constant material properties. For TM/TE polarized electromagnetic waves and for acoustic waves, we compute first approximations of scattering resonances with finite elements. Then, we apply the novel sorting scheme to the computed eigenpairs and use it to mark potentially spurious solutions in electromagnetic and acoustic scattering resonances... (More)
In this paper, we consider a sorting scheme for potentially spurious scattering resonant pairs in one- and two-dimensional electromagnetic problems and in three-dimensional acoustic problems. The novel sorting scheme is based on a Lippmann-Schwinger type of volume integral equation and can, therefore, be applied to structures with graded materials as well as to configurations including piece-wise constant material properties. For TM/TE polarized electromagnetic waves and for acoustic waves, we compute first approximations of scattering resonances with finite elements. Then, we apply the novel sorting scheme to the computed eigenpairs and use it to mark potentially spurious solutions in electromagnetic and acoustic scattering resonances computations at a low computational cost. Several test cases with Drude-Lorentz dielectric resonators as well as with graded material properties are considered.
(Less)
- author
- Araújo C., Juan C. and Engström, Christian LU
- publishing date
- 2021-03-15
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Acoustic scattering resonances, Helmholtz problem, Leaky modes, Nonlinear eigenvalue problems, Plasmon resonance, Quasi-normal modes
- in
- Journal of Computational Physics
- volume
- 429
- article number
- 110024
- publisher
- Elsevier
- external identifiers
-
- scopus:85097236464
- ISSN
- 0021-9991
- DOI
- 10.1016/j.jcp.2020.110024
- language
- English
- LU publication?
- no
- additional info
- Publisher Copyright: © 2020 The Author(s)
- id
- 55023e61-c6e6-421e-84c5-9007036c90da
- date added to LUP
- 2023-03-24 11:05:06
- date last changed
- 2023-03-24 13:32:19
@article{55023e61-c6e6-421e-84c5-9007036c90da,
abstract = {{<p>In this paper, we consider a sorting scheme for potentially spurious scattering resonant pairs in one- and two-dimensional electromagnetic problems and in three-dimensional acoustic problems. The novel sorting scheme is based on a Lippmann-Schwinger type of volume integral equation and can, therefore, be applied to structures with graded materials as well as to configurations including piece-wise constant material properties. For TM/TE polarized electromagnetic waves and for acoustic waves, we compute first approximations of scattering resonances with finite elements. Then, we apply the novel sorting scheme to the computed eigenpairs and use it to mark potentially spurious solutions in electromagnetic and acoustic scattering resonances computations at a low computational cost. Several test cases with Drude-Lorentz dielectric resonators as well as with graded material properties are considered.</p>}},
author = {{Araújo C., Juan C. and Engström, Christian}},
issn = {{0021-9991}},
keywords = {{Acoustic scattering resonances; Helmholtz problem; Leaky modes; Nonlinear eigenvalue problems; Plasmon resonance; Quasi-normal modes}},
language = {{eng}},
month = {{03}},
publisher = {{Elsevier}},
series = {{Journal of Computational Physics}},
title = {{On spurious solutions encountered in Helmholtz scattering resonance computations in R<sup>d</sup> with applications to nano-photonics and acoustics}},
url = {{http://dx.doi.org/10.1016/j.jcp.2020.110024}},
doi = {{10.1016/j.jcp.2020.110024}},
volume = {{429}},
year = {{2021}},
}