DocumentCode :
1319935
Title :
Fast Dipole Method for Electromagnetic Scattering From Perfect Electric Conducting Targets
Author :
Chen, Xinlei ; Gu, Changqing ; Niu, Zhenyi ; Li, Zhuo
Author_Institution :
Coll. of Electron. & Inf. Eng., Nanjing Univ. of Aeronaut. & Astronaut., Nanjing, China
Volume :
60
Issue :
2
fYear :
2012
Firstpage :
1186
Lastpage :
1191
Abstract :
A new fast dipole method (FDM) is proposed for the electromagnetic scattering from arbitrarily shaped three-dimensional (3D), electrically large, perfect electric conducting (PEC) targets in free space based on the concept of equivalent dipole-moment method (EDM) and the fast multipole method (FMM). The electric-field, magnetic-field and combined-field integral equations (CFIE) for this algorithm have been developed and implemented. Although the basic acceleration idea in the FDM has been borrowed from the FMM, the specific implementation of these two algorithms is completely different. In the FDM, a simple Taylor´s series expansion of the distance between two interacting equivalent dipoles is used, which transforms the impedance element into another aggregation-translation-disaggregation form naturally. Furthermore, this algorithm is very simple for numerical implementation for it does not involve the calculation of a number of Bessel functions, Legendre functions for the addition theorem and complex integral operators. The FDM can achieve O(N1.5) computational complexity and memory requirement, where N is the number of unknowns. Numerical results are presented to validate the efficiency and accuracy of this method through comparison with other rigorous solutions.
Keywords :
Bessel functions; computational complexity; electric field integral equations; electric moments; electromagnetic wave scattering; magnetic field integral equations; magnetic moments; Bessel function; FDM; FMM; Legendre function; Taylor series expansion; arbitrarily shaped three-dimensional target; combined field integral equation; complex integral operator; computational complexity; dipole-moment method; electric field integral equation; electrically large target; electromagnetic scattering; fast dipole method; magnetic field integral equation; multipole method; numerical implementation; perfect electric conducting target; Equations; Frequency division multiplexing; Impedance; Mathematical model; Memory management; Moment methods; Surface impedance; Combined filed integral equation (CFIE); electromagnetic scattering; equivalent dipole-moment method (EDM); fast dipole method (FDM); fast multipole method (FMM);
fLanguage :
English
Journal_Title :
Antennas and Propagation, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-926X
Type :
jour
DOI :
10.1109/TAP.2011.2167906
Filename :
6018261
Link To Document :
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