A fast multipole method for layered media based on the application of perfectly matched layers - The 2-D case

被引：21
|
作者：
Vande Ginste, D [1 ]
Rogier, H [1 ]
Olyslager, F [1 ]
De Zutter, DL [1 ]
机构：
[1] Univ Ghent, Dept Informat Technol, B-9000 Ghent, Belgium
来源：
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2004年 / 52卷 / 10期
关键词：
fast multipole method (FMM); integral equation technique; microstrip structure; perfectly matched layer (PML);
D O I：
10.1109/TAP.2004.834396
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
An efficient fast multipole method (FMM) formalism to model scattering from two-dimensional (2-D) microstrip structures is presented. The technique relies on a mixed potential integral equation (MPIE) formulation and a series expression for the Green functions, based on the use of perfectly matched layers (PML). In this way, a new FMM algorithm is developed to evaluate matrix-vector multiplications arising in the iterative solution of the scattering problem. Novel iteration schemes have been implemented and a computational complexity of order O(N) is achieved. The theory is validated by means of several illustrative, numerical examples. This paper aims at elucidating the PML-FMM-MPIE concept and can be seen as a first step toward a PML based multilevel fast multipole algorithm (MLFMA) for 3-D microstrip structures embedded in layered media.
引用
收藏
页码：2631 / 2640
页数：10
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