期刊
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION
卷 51, 期 6, 页码 1364-1372出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAP.2003.811496
关键词
fast Fourier transform (FFT); finite antenna arrays; finite element-boundary integral (FE-BI) method; tapered-slot antenna (TSA); Toeplitz array decomposition method (ADM)
Presented in this paper is a fast method to accurately model finite arrays of arbitrary three-dimensional elements. The proposed technique, referred to as the array decomposition method (ADM), exploits the repeating features of finite arrays and the free-space Green's function to assemble a nonsymmetric block-Toeplitz matrix system. The Toeplitz property is used to significantly reduce storage requirements and allows the fast Fourier transform (FFT) to be applied in accelerating the matrix-vector product operations of the iterative solution process. Each element of the array is modeled using the finite element-boundary integral (FE-BI) technique for rigorous analysis. Consequently, we demonstrate that the complete LU decomposition of the matrix system from a single array element can be used as a highly effective block-diagonal preconditioner on the larger array matrix system. This rigorous method is compared to the standard FE-BI technique for several tapered-slot antenna (TSA) arrays and I'S demonstrated to generate the same accuracy with a fraction of the storage and solution time.
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