Paper Info
Title
Removal of spurious solutions encountered in Helmholtz scattering resonance computations in R^d.
Abstract
In this paper we consider a sorting scheme for the removal of spurious scattering resonant pairs in 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 graded material properties as well as 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 remove spurious solutions in electromagnetic and acoustic scattering resonances computations at low computational cost. Several test cases with Drude-Lorentz dielectric resonators as well as with graded material properties are considered.
Year
Venue
DocType
2019
arXiv: Mathematical Physics
Journal
Volume
Citations 
PageRank 
abs/1904.08812
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Juan Carlos Araujo-Cabarcas100.34
Christian Engström2134.97