Abstract
The fast multipole algorithm manifests in two very different forms at low frequencies and at mid frequencies. Each can operate in their respective regimes, but are not tenable in the other regimes. The paper reports on a way to factorize the Green's function for fast algorithm using a mixed form. The low-frequency fast multipole algorithm (LF-FMA) will be used at low frequencies or the long-wavelength regime, and the multilevel fast multipole algorithm (MLFMA) will be used for the mid frequencies or the shorter-wavelength regime. For object modeling where both long-wavelength and wave physics are important, we propose a mixed-form fast multipole algorithm (MF-FMA). This algorithm has no low frequency break down, and it can work seamlessly from static (where circuit physics is important) to dynamic (where wave physics is important). © 2005 IEEE.
Recommended Citation
L. J. Jiang and W. C. Chew, "A Mixed-form Fast Multipole Algorithm," IEEE Transactions on Antennas and Propagation, vol. 53, no. 12, pp. 4145 - 4156, Institute of Electrical and Electronics Engineers, Dec 2005.
The definitive version is available at https://doi.org/10.1109/TAP.2005.859915
Department(s)
Electrical and Computer Engineering
Keywords and Phrases
Electromagnetics; Low frequency; Low-frequency fast multipole algorithm (LF-FMA); Mixed-form fast multipole algorithm (MF-FMA); Multilevel fast multipole algorithm (MLFMA); RCS
International Standard Serial Number (ISSN)
0018-926X
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Institute of Electrical and Electronics Engineers, All rights reserved.
Publication Date
01 Dec 2005
Comments
Semiconductor Research Corporation, Grant FA9550-04-1-0326