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Hu et al. 1999
Hu, B., Chew, W.C., Michielssen, E. and Zhao, J. (1999). Fast inhomogeneous plane wave algorithm for the fast analysis of two-dimensional scattering problems. Radio Science 34: doi: 10.1029/1999RS900038. issn: 0048-6604.

A novel algorithm, the fast inhomogeneous plane wave algorithm (FIPWA), has been developed to accelerate the solution of integral equations pertinent to the analysis of the scattering from two-dimensional perfect electric conducting surfaces. Unlike the fast steepest descent path algorithm, the proposed technique directly interpolates the far-field pattern of the source group and matches it along a modified steepest descent path. A novel approach, which results in a diagonal translator with built-in interpolation coefficients, is proposed. The computational complexity per matrix-vector multiplication of a two-level implementation of the proposed FIPWA is O(N4/3) and the multilevel implementation further reduces the complexity to O(N log N), where N is the number of unknowns in the discretized integral equation. It is shown that this technique outperforms the previously developed fast methods such as the fast multipole method and the ray-propagation fast multipole algorithm. ¿ 1999 American Geophysical Union

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Abstract

Keywords
Electromagnetics, Numerical methods, Electromagnetics, Electromagnetic theory
Journal
Radio Science
Publisher
American Geophysical Union
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