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Fast Analysis of Scattering by Arbitrarily Shaped Three-Dimensional Objects Using the Precorrected-FFT Method

Author(s)
Nie, Xiaochun; Li, Le-Wei
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Abstract
This paper presents an accurate and efficient method-of-moments solution of the electrical-field integral equation (EFIE) for large, three-dimensional, arbitrarily shaped objects. In this method, the generalized conjugate residual method (GCR) is used to solve the matrix equation iteratively and the precorrected-FFT technique is then employed to accelerate the matrix-vector multiplication in iterations. The precorrected-FFT method eliminates the need to generate and store the usual square impedance matrix, thus leading to a great reduction in memory requirement and execution time. It is at best an O(N log N) algorithm and can be modified to fit a wide variety of systems with different Green’s functions without excessive effort. Numerical results are presented to demonstrate the accuracy and computational efficiency of the technique.
Date issued
2002-01
URI
http://hdl.handle.net/1721.1/4002
Series/Report no.
High Performance Computation for Engineered Systems (HPCES);
Keywords
precorrected-FFT method, method-of-moments, electrical-field integral equation, electromagnetic scattering

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