Computation of scattering resonances in absorptive and dispersive media with applications to metal-dielectric nano-structures
(2020) In Journal of Computational Physics 407.- Abstract
In this paper we consider scattering resonance computations in optics when the resonators consist of frequency dependent and lossy materials, such as metals at optical frequencies. The proposed computational approach combines a novel hp-FEM strategy, based on dispersion analysis for complex frequencies, with a fast implementation of the nonlinear eigenvalue solver NLEIGS. Numerical computations illustrate that the pre-asymptotic phase is significantly reduced compared to standard uniform h and p strategies. Moreover, the efficiency grows with the refractive index contrast, which makes the new strategy highly attractive for metal-dielectric structures. The hp-refinement strategy together with the efficient parallel code result in highly... (More)
In this paper we consider scattering resonance computations in optics when the resonators consist of frequency dependent and lossy materials, such as metals at optical frequencies. The proposed computational approach combines a novel hp-FEM strategy, based on dispersion analysis for complex frequencies, with a fast implementation of the nonlinear eigenvalue solver NLEIGS. Numerical computations illustrate that the pre-asymptotic phase is significantly reduced compared to standard uniform h and p strategies. Moreover, the efficiency grows with the refractive index contrast, which makes the new strategy highly attractive for metal-dielectric structures. The hp-refinement strategy together with the efficient parallel code result in highly accurate approximations and short runtimes on multi processor platforms.
(Less)
- author
- Araujo C., Juan C. ; Campos, Carmen ; Engström, Christian LU and Roman, Jose E.
- publishing date
- 2020-04-15
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Dispersion analysis, Helmholtz problem, Leaky modes, Nonlinear eigenvalue problems, Plasmon resonance, PML, Quasi-normal modes, Quasimodes, Resonance modes, Resonant states
- in
- Journal of Computational Physics
- volume
- 407
- article number
- 109220
- publisher
- Elsevier
- external identifiers
-
- scopus:85078588641
- ISSN
- 0021-9991
- DOI
- 10.1016/j.jcp.2019.109220
- language
- English
- LU publication?
- no
- additional info
- Funding Information: Juan C. Araújo and Christian Engström gratefully acknowledge the support of the Swedish Research Council under Grant No. 621-2012-3863 . Carmen Campos and Jose E. Roman were supported by the Spanish Agencia Estatal de Investigación ( AEI ) under project SLEPc-HS ( TIN2016-75985-P ), which includes European Commission ERDF funds. The supercomputer Tirant 3 used in some of the computational experiments belongs to Universitat de València. Juan C. Araújo acknowledges Andrée Falgin Hultgren, for his contributions on the meshing routine. Funding Information: Juan C. Ara?jo and Christian Engstr?m gratefully acknowledge the support of the Swedish Research Council under Grant No. 621-2012-3863. Carmen Campos and Jose E. Roman were supported by the Spanish Agencia Estatal de Investigaci?n (AEI) under project SLEPc-HS (TIN2016-75985-P), which includes European Commission ERDF funds. The supercomputer Tirant 3 used in some of the computational experiments belongs to Universitat de Val?ncia. Juan C. Ara?jo acknowledges Andr?e Falgin Hultgren, for his contributions on the meshing routine. Publisher Copyright: © 2019 Elsevier Inc.
- id
- 43369c03-887f-4d5a-8f9d-9a5c51ab7dca
- date added to LUP
- 2023-03-24 11:05:33
- date last changed
- 2023-03-24 13:35:14
@article{43369c03-887f-4d5a-8f9d-9a5c51ab7dca, abstract = {{<p>In this paper we consider scattering resonance computations in optics when the resonators consist of frequency dependent and lossy materials, such as metals at optical frequencies. The proposed computational approach combines a novel hp-FEM strategy, based on dispersion analysis for complex frequencies, with a fast implementation of the nonlinear eigenvalue solver NLEIGS. Numerical computations illustrate that the pre-asymptotic phase is significantly reduced compared to standard uniform h and p strategies. Moreover, the efficiency grows with the refractive index contrast, which makes the new strategy highly attractive for metal-dielectric structures. The hp-refinement strategy together with the efficient parallel code result in highly accurate approximations and short runtimes on multi processor platforms.</p>}}, author = {{Araujo C., Juan C. and Campos, Carmen and Engström, Christian and Roman, Jose E.}}, issn = {{0021-9991}}, keywords = {{Dispersion analysis; Helmholtz problem; Leaky modes; Nonlinear eigenvalue problems; Plasmon resonance; PML; Quasi-normal modes; Quasimodes; Resonance modes; Resonant states}}, language = {{eng}}, month = {{04}}, publisher = {{Elsevier}}, series = {{Journal of Computational Physics}}, title = {{Computation of scattering resonances in absorptive and dispersive media with applications to metal-dielectric nano-structures}}, url = {{http://dx.doi.org/10.1016/j.jcp.2019.109220}}, doi = {{10.1016/j.jcp.2019.109220}}, volume = {{407}}, year = {{2020}}, }