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Efficient MLFMA, RPFMA, and FAFFA algorithms for EM scatter ..
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Efficient MLFMA, RPFMA, and FAFFA algorithms for EM scattering by very large structures
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发表于: 2008-08-16 22:17:01
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, VOL. 52, NO. 3, MARCH 2004 759
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Efficient MLFMA, RPFMA, and FAFFA Algorithms
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for EM Scattering by Very Large Structures
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Tie Jun Cui, Senior Member, IEEE, Weng Cho Chew, Fellow, IEEE, Guang Chen, and
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Jiming Song, Senior Member, IEEE
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Abstract—Based on the addition theorem, the principle of a
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multilevel ray-propagation fast multipole algorithm (RPFMA)
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and fast far-field approximation (FAFFA) has been demonstrated
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for three-dimensional (3-D) electromagnetic scattering problems.
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From a rigorous mathematical derivation, the relation among
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RPFMA, FAFFA, and a conventional multilevel fast multipole
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algorithm (MLFMA) has been clearly stated. For very large-scale
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problems, the translation between groups in the conventional
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MLFMA is expensive because the translator is defined on an
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Ewald sphere with many sampling ^ directions. When two
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groups are well separated, the translation can be simplified using
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RPFMA, where only a few sampling ^ directions are required
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within a cone zone on the Ewald sphere. When two groups are in
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the far-field region, the translation can be further simplified by
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using FAFFA where only a single ^ is involved in the translator
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along the ray-propagation direction. Combining RPFMA and
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FAFFA with MLFMA, three algorithms RPFMA-MLFMA,
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FAFFA-MLFMA, and RPFMA-FAFFA-MLFMA have been developed,
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which are more efficient than the conventional MLFMA
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in 3-D electromagnetic scattering and radiation for very large
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structures. Numerical results are given to verify the efficiency of
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the algorithms.
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Efficient MLFMA, RPFMA, and FAFFA algorithms for EM scattering by very large structures.pdf
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