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- W4288366144 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 computations at a low computational cost. Several test cases with Drude-Lorentz dielectric resonators as well as with graded material properties are considered." @default.
- W4288366144 created "2022-07-29" @default.
- W4288366144 creator A5006351626 @default.
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- W4288366144 date "2019-04-18" @default.
- W4288366144 modified "2023-09-26" @default.
- W4288366144 title "On spurious solutions encountered in Helmholtz scattering resonance computations in R^d with applications to nano-photonics and acoustics" @default.
- W4288366144 doi "https://doi.org/10.48550/arxiv.1904.08812" @default.
- W4288366144 hasPublicationYear "2019" @default.
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