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

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

doi:10.1109/8.736628

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

Xing Qing Sheng^*, Jian Ming Jin, Jiming Song, Weng Cho Chew, Cai Cheng Lu

^*Corresponding author for this work

University of Illinois at Urbana-Champaign

Research output: Contribution to journal › Article › peer-review

308 Citations (Scopus)

Abstract

In this paper, 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 CFIE and propose a new formulation, which is both accurate and free of interior resonances. We then employ 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.

Original language	English
Pages (from-to)	1718-1726
Number of pages	9
Journal	IEEE Transactions on Antennas and Propagation
Volume	46
Issue number	11
DOIs	https://doi.org/10.1109/8.736628
Publication status	Published - 1998
Externally published	Yes

Keywords

Electromagnetic scattering
Moment methods

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10.1109/8.736628

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

abstract = "In this paper, 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 CFIE and propose a new formulation, which is both accurate and free of interior resonances. We then employ 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 = "Electromagnetic scattering, Moment methods",

author = "Sheng, {Xing Qing} and Jin, {Jian Ming} and Jiming Song and Chew, {Weng Cho} and Lu, {Cai Cheng}",

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T1 - Solution of combined-field integral equation using multilevel fast multipole algorithm for scattering by homogeneous bodies

AU - Sheng, Xing Qing

AU - Jin, Jian Ming

AU - Song, Jiming

AU - Chew, Weng Cho

AU - Lu, Cai Cheng

PY - 1998

Y1 - 1998

N2 - In this paper, 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 CFIE and propose a new formulation, which is both accurate and free of interior resonances. We then employ 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.

AB - In this paper, 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 CFIE and propose a new formulation, which is both accurate and free of interior resonances. We then employ 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.

KW - Electromagnetic scattering

KW - Moment methods

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DO - 10.1109/8.736628

M3 - Article

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SN - 0018-926X

VL - 46

SP - 1718

EP - 1726

JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

IS - 11

ER -

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

Abstract

Keywords

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