A fast high-order algorithm for the multiple cavity scattering. Issue 1 (2nd January 2019)

• Record Type: Journal Article
• Authors: Zhao, Meiling; An, Sheng; Nie, Yufeng
• Is Part Of: International journal of computer mathematics. Volume 96:Issue 1(2019)
• Page Start: 135
• Page End: 157
• Publication Date: 2019-01-02
• Subjects: Multiple cavity scattering -- compact high-order method -- Helmholtz equation -- transparent boundary condition -- large wave number; 65N06 -- 65N22; Computers -- Periodicals; Numerical analysis -- Periodicals; Automation -- Periodicals; 004.0151
• DOI: 10.1080/00207160.2017.1420181
• Languages: English
• ISSNs: 0020-7160

Abstract

ABSTRACT: A fast high-order algorithm is proposed for solving the electromagnetic scattering from multiple cavities embedded in an infinite ground plane. By means of a transparent boundary condition, we transform the multiple cavity scattering problem into the Helmholtz equations restricted to each cavity with coupled nonlocal boundary conditions on the apertures. Then a fourth-order method in each cavity is constructed. It results in a big system involving the Helmholtz equations with the coupled transparent boundary conditions, which is further reduced to a small system that includes only the coupling of the aperture system of each cavity. The cost of calculating the radar cross section isO ( N M l o g ( n M ) ) withN × M meshes in each cavity, where n is the number of separate cavities. Numerical experiments with large wave numbers are presented to verify the efficiency of the proposed method.