Numerical Solutions of the Electromagnetic Scattering by Overfilled Cavities with Inhomogeneous Anisotropic Media  

作　　者：Meiling Zhao Jiahui He Liqun Wang 

机构地区：[1]Department of Mathematics and Physics,North China Electric Power University,Baoding,071003,China [2]Hebei Key Laboratory of Physics and Energy Technology,North China Electric Power University,Baoding,071003,China [3]Department of Mathematics,College of Science,China University of Petroleum,Beijing,102249,China [4]Beijing Key Laboratory of Optical Detection Technology for Oil and Gas,China University of Petroleum,Beijing,102249,China

出　　处：《Communications in Computational Physics》2023年第7期530-562,共33页计算物理通讯（英文）

基　　金：supported by the National Natural Science Foundation of China(No.12271159);the Natural Science Foundation of Hebei Province(No.A2020502003);the Fundamental Research Funds for the Central Universities(No.2021MS115);supported by the National Natural Science Foundation of China(No.12171482);the State Key Laboratory of Petroleum Resources and Prospecting,China University of Petroleum(No.PRP/DX-2307).

摘　　要：In this paper,the electromagnetic scattering from overfilled cavities with inhomogeneous anisotropic media is investigated.To solve the scattering problem,a Petrov-Galerkin finite element interfacemethod on non-body-fitted grids is presented.We reduce the infinite domain of scattering to a bounded domain problem by introducing a transparent boundary condition.The level set function is used to capture complex boundary and interface geometry that is not aligned with the mesh.Nonbody-fitted grids allow us to save computational costs during mesh generation and significantly reduce the amount of computer memory required.The solution is built by connecting two linear polynomials across the interfaces to satisfy the jump conditions.The proposed method can handle matrix coefficients produced by permittivity and permeability tensors of anisotropic media.The final linear system is sparse,making it more suitable for most iterative methods.Numerical experiments show that the proposed method has good convergence and realizability.Meanwhile,we discover that the absorbing properties of anisotropic media clearly and positively influence the reduction of radar cross section.It has also been demonstrated that the method can achieve second-order accuracy.

关 键 词：Electromagnetic scattering overfilled cavity inhomogeneous anisotropicmedia nonbody-fitted grids Petrov-Galerkin finite element interface method 

分 类 号：O17[理学—数学]