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[天线]Efficient MLFMA, RPFMA, and FAFFA algorithms for EM scattering by very large structures

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IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, VOL. 52, NO. 3, MARCH 2004 759
Efficient MLFMA, RPFMA, and FAFFA Algorithms
for EM Scattering by Very Large Structures
Tie Jun Cui, Senior Member, IEEE, Weng Cho Chew, Fellow, IEEE, Guang Chen, and
Jiming Song, Senior Member, IEEE
Abstract—Based on the addition theorem, the principle of a
multilevel ray-propagation fast multipole algorithm (RPFMA)
and fast far-field approximation (FAFFA) has been demonstrated
for three-dimensional (3-D) electromagnetic scattering problems.
From a rigorous mathematical derivation, the relation among
RPFMA, FAFFA, and a conventional multilevel fast multipole
algorithm (MLFMA) has been clearly stated. For very large-scale
problems, the translation between groups in the conventional
MLFMA is expensive because the translator is defined on an
Ewald sphere with many sampling ^ directions. When two
groups are well separated, the translation can be simplified using
RPFMA, where only a few sampling ^ directions are required
within a cone zone on the Ewald sphere. When two groups are in
the far-field region, the translation can be further simplified by
using FAFFA where only a single ^ is involved in the translator
along the ray-propagation direction. Combining RPFMA and
FAFFA with MLFMA, three algorithms RPFMA-MLFMA,
FAFFA-MLFMA, and RPFMA-FAFFA-MLFMA have been developed,
which are more efficient than the conventional MLFMA
in 3-D electromagnetic scattering and radiation for very large
structures. Numerical results are given to verify the efficiency of
the algorithms.
Index T ..

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