On spurious solutions encountered in Helmholtz scattering resonance computations in Rd with applications to nano-photonics and acoustics
On spurious solutions encountered in Helmholtz scattering resonance computations in Rd with applications to nano-photonics and acoustics
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DOI：
10.1016/j.jcp.2020.110024
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发表时间：
2021-02-03
影响因子：
4.1
通讯作者：
Engstrom, Christian
中科院分区：
文献类型：
--
作者：
Araujo C., Juan C.;Engstrom, Christian
在本文中，我们考虑一个排序计划潜在的寄生散射共振对在一维和二维电磁问题和三维声学问题。新的排序方案是基于Lippmann-Schwinger型的体积积分方程，因此，可以应用于梯度材料的结构，以及配置，包括分段恒定的材料性能。对于TM/TE极化电磁波和声波，我们计算第一近似的散射共振与有限元。然后，我们将新的排序方案的计算本征对，并使用它来标记潜在的虚假的解决方案，在电磁和声散射共振计算在一个低的计算成本。几个测试用例与德鲁德-洛伦兹介质谐振器，以及与梯度材料性能被认为是。(C)2020作者（S）爱思唯尔公司出版
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.