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Computation of scattering resonances in absorptive and dispersive media with applications to metal-dielectric nano-structures

Araujo C., Juan C. ; Campos, Carmen ; Engström, Christian LU and Roman, Jose E. (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.

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author
; ; and
publishing date
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}},
}