A fast high-order algorithm for the multiple cavity scattering

作者：Zhao, Meiling; An, Sheng; Nie, Yufeng^*

来源：International Journal of Computer Mathematics, 2019, 96(1): 135-157.

DOI：10.1080/00207160.2017.1420181

• Multiple cavity scattering
• compact high-order method
• Helmholtz equation
• transparent boundary condition
• large wave number

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 is O(N Mlog(nM)) with N x M with 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.

• 出版日期2019-1-2
• 单位西北工业大学; 华北电力大学（保定）; 华北电力大学