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An innovative approach is presented for analyzing finite arrays of regularly spaced elements. Our approach is based on coupling an array decomposition technique with a multipole expansion for interacting distant elements. This hybrid technique results in Toeplitz storage for both near-zone matrices and far-zone translation operators, with FFT acceleration for the far-zone element interactions. The matrix storage is of the same order as a single array element, regardless of array size, hence removing the matrix storage bottleneck for large arrays. The total storage requirements of this method are only O(N), where N is the length of the solution vector. Hence, fast and rigorous analysis of very large finite arrays can be accomplished with limited resources.
Antennas and Propagation Society International Symposium, 2003. IEEE (Volume:4 )
Date of Conference: 22-27 June 2003