Preconditioners for CG-FMM-FFT Implementation in EM Analysis of Large-Scale Periodic Array Antennas

Huiqing ZHAI
Qiaowei YUAN
Qiang CHEN
Kunio SAWAYA

Publication
IEICE TRANSACTIONS on Communications   Vol.E90-B    No.3    pp.707-710
Publication Date: 2007/03/01
Online ISSN: 1745-1345
DOI: 10.1093/ietcom/e90-b.3.707
Print ISSN: 0916-8516
Type of Manuscript: LETTER
Category: Antennas and Propagation
Keyword: 
large-scale periodic array antenna,  method of moments (MoM),  fast multipole method (FMM),  fast Fourier transform (FFT),  preconditioner,  

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Summary: 
In this research, a sub-array preconditioner is applied to improve the convergence of conjugate gradient (CG) iterative solver in the fast multipole method and fast Fourier transform (FMM-FFT) implementation on a large-scale finite periodic array antenna with arbitrary geometry elements. The performance of the sub-array preconditioner is compared with the near-group preconditioner in the array antenna analysis. It is found that the near-group preconditioner achieves a little better convergence, while the sub-array preconditioner can be easily constructed and programmed with less CPU-time. The efficiency of the CG-FMM-FFT with high efficient preconditioner has been demonstrated in numerical analysis of a finite periodic array antenna.