Accurate and efficient Nystrom volume integral equation method for the Maxwell equations for multiple 3-D scatterers

JOURNAL OF COMPUTATIONAL PHYSICS

卷:321

Article

Chen, Duan¹  Cai, Wei¹  Zinser, Brian¹  Cho, Min Hyung² 

[1] Univ N Carolina, Dept Math & Stat, Charlotte, NC 28223 USA

[2] Univ Massachusetts, Dept Math Sci, Lowell, MA 01854 USA

关键词: Electromagnetic scattering;    Volume integral equation;    Cauchy principal value;    Dyadic Green's function;    Nystrom method;   

DOI  :  10.1016/j.jcp.2016.05.042

来源: Elsevier

【 摘 要 】

In this paper, we develop an accurate and efficient Nystrom volume integral equation (VIE) method for the Maxwell equations for a large number of 3-D scatterers. The Cauchy Principal Values that arise from the VIE are computed accurately using a finite size exclusion volume together with explicit correction integrals consisting of removable singularities. Also, the hyper-singular integrals are computed using interpolated quadrature formulae with tensor-product quadrature nodes for cubes, spheres and cylinders, that are frequently encountered in the design of meta-materials. The resulting Nystrom VIE method is shown to have high accuracy with a small number of collocation points and demonstrates p-convergence for computing the electromagnetic scattering of these objects. Numerical calculations of multiple scatterers of cubic, spherical, and cylindrical shapes validate the efficiency and accuracy of the proposed method. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

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