A Low-Frequency Stable Broadband Multilevel Fast Multipole Algorithm Using Plane Wave Multipole Hybridization
| Autor: | Weng Cho Chew, Ling Ling Meng, Tian Xia, Hui H. Gan, Qin S. Liu |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Physics
Diagonal Plane wave 020206 networking & telecommunications 010103 numerical & computational mathematics 02 engineering and technology Function (mathematics) Low frequency 01 natural sciences Integral equation Harmonic analysis Harmonics 0202 electrical engineering electronic engineering information engineering 0101 mathematics Electrical and Electronic Engineering Multipole expansion Algorithm |
| Zdroj: | IEEE Transactions on Antennas and Propagation. 66:6137-6145 |
| ISSN: | 1558-2221 0018-926X |
| DOI: | 10.1109/tap.2018.2866535 |
| Popis: | We propose a broadband multilevel fast multipole algorithm using hybridization of the plane wave and the multipole expansions of Green’s function in the analysis of 3-D electromagnetic problems. In the proposed method, the diagonal plane-wave expansion is used for low order harmonics, which captures most of the propagating spectrums, while the dense multipole expansion is used for high order harmonics, which captures most of the evanescent spectrums. By analyzing the errors and choosing the numbers of harmonics accordingly in the plane wave and the multipole expansions, the method is free of low-frequency breakdown and remains accurate at arbitrarily low frequencies, which is similar to the dense fast multipole algorithm (FMA). Meanwhile, the method reduces to the conventional diagonal FMA as the frequency increases. Therefore, it can be regarded as the generalization of the conventional dense and diagonal FMAs. Numerical studies in this paper show that very high accuracies can be achieved using the method. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|