On spurious solutions encountered in Helmholtz scattering resonance computations in Rd with applications to nano-photonics and acoustics

JOURNAL OF COMPUTATIONAL PHYSICS

卷:429

Article

Araujo C., Juan C.¹  Engstrom, Christian² 

[1] Umea Univ, Dept Comp Sci, MIT Huset, S-90187 Umea, Sweden

[2] Linnaeus Univ, Dept Math, Hus B, S-35195 Vaxjo, Sweden

关键词: Plasmon resonance;    Acoustic scattering resonances;    Nonlinear eigenvalue problems;    Helmholtz problem;    Leaky modes;    Quasi-normal modes;   

DOI  :  10.1016/j.jcp.2020.110024

来源: Elsevier

【 摘 要 】

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. (C) 2020 The Author(s). Published by Elsevier Inc.

【 授权许可】

Free