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Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects

IEEE Transactions on Antennas and Propagation · 1997 · Vol. 45(10) · pp. 1488–1493

Jiming Song✉(University of Illinois Urbana-Champaign)Cai‐Cheng Lu(University of Illinois Urbana-Champaign)Weng Cho Chew(University of Illinois Urbana-Champaign)

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Abstract

The fast multipole method (FMM) and multilevel fast multipole algorithm (MLFMA) are reviewed. The number of modes required, block-diagonal preconditioner, near singularity extraction, and the choice of initial guesses are discussed to apply the MLFMA to calculating electromagnetic scattering by large complex objects. Using these techniques, we can solve the problem of electromagnetic scattering by large complex three-dimensional (3-D) objects such as an aircraft (VFY218) on a small computer.

Electromagnetic Scattering and Analysis Electromagnetic Compatibility and Measurements Advanced Antenna and Metasurface TechnologiesMultipole expansionScatteringPreconditionerFast multipole methodAlgorithmDiagonalComputer scienceSingularityComputational electromagneticsBlock (permutation group theory)

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