Solution of combined-field integral equation using multilevel fast multipole algorithm for scattering by homogeneous bodies

Author

Sheng, Xing Qing ; Jin, Jian-Ming ; Song, Jiming ; Chew, Weng Cho ; Lu, Cai-Cheng

Author_Institution

Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA

Volume

46

Issue

11

fYear

1998

fDate

11/1/1998 12:00:00 AM

Firstpage

1718

Lastpage

1726

Abstract

We present an accurate method of moments (MoM) solution of the combined field integral equation (CFIE) using the multilevel fast multipole algorithm (MLFMA) for scattering by large, three-dimensional (3-D), arbitrarily shaped, homogeneous objects. We first investigate several different MoM formulations of the CFIE and propose a new formulation, which is both accurate and free of interior resonances. We then employ the MLFMA to significantly reduce the memory requirement and computational complexity of the MoM solution. Numerical results are presented to demonstrate the accuracy and capability of the proposed method. The method can be extended in a straightforward manner to scatterers composed of different homogeneous dielectric and conducting objects

Keywords

computational complexity; electric field integral equations; electromagnetic wave scattering; magnetic field integral equations; method of moments; 3D homogeneous bodies; EM wave scattering; MoM solution; accuracy; combined-field integral equation; computational complexity reduction; electric field integral equation; homogeneous conducting objects; homogeneous dielectric objects; magnetic field integral equation; memory requirement reduction; method of moments; multilevel fast multipole algorithm; Dielectric materials; Differential equations; Electromagnetic scattering; Integral equations; MLFMA; Magnetic fields; Moment methods; Radar scattering; Resonance; Resonant frequency;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.736628

Filename

736628