Multilevel fast multipole method solution of volume integral equations using parametric geometry modeling

被引:45
作者
Sertel, K [1 ]
Volakis, JL [1 ]
机构
[1] Ohio State Univ, Dept Elect Engn, Electrosci Lab, Columbus, OH 43212 USA
关键词
conformal geometry modeling; electromagnetic scattering by nonhomogeneous media; fast algorithms; fast multipole methods; integral equations; method of moments (MoM);
D O I
10.1109/TAP.2004.831401
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
We present a multilevel fast multipole method (MLFMM) solution for volume integral equations dealing with scattering from arbitrarily shaped inhomogeneous dielectrics. The solution accuracy, convergence, computer time and memory savings of the method are demonstrated. Previous works have employed the MLFMM for impenetrable targets. In this paper, we integrate the MLFMM with the volume integral equation method for scattering by inhomogeneous targets. Of particular importance is the use of curvilinear elements for better volume representation and the use of simple basis functions for ease of parallelization.
引用
收藏
页码:1686 / 1692
页数:7
相关论文
共 19 条
[1]   SCATTERING FROM COMPLEX 3-DIMENSIONAL GEOMETRIES BY A CURVILINEAR HYBRID FINITE-ELEMENT-INTEGRAL EQUATION APPROACH [J].
ANTILLA, GE ;
ALEXOPOULOS, NG .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1994, 11 (04) :1445-1457
[2]   Scattering from Multiple Conducting and Dielectric Bodies of Arbitrary Shape [J].
Arvas, Ercument ;
Rahhal-Arabi, Ahmad ;
Sadigh, Ali ;
Rao, Sadasiva M. .
IEEE Antennas and Propagation Magazine, 1991, 33 (02) :29-36
[3]  
BOJARSKI NN, 1971, AFALTR715
[4]   EDGE-BASED FINITE-ELEMENTS AND VECTOR ABCS APPLIED TO 3-D SCATTERING [J].
CHATTERJEE, A ;
JIN, JM ;
VOLAKIS, JL .
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1993, 41 (02) :221-226
[5]   Fast solution methods in electromagnetics [J].
Chew, WC ;
Jin, JM ;
Lu, CC ;
Michielssen, E ;
Song, JMM .
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1997, 45 (03) :533-543
[6]  
Coifman R., 1993, IEEE Antennas and Propagation Magazine, V35, P7, DOI 10.1109/74.250128
[7]  
HARRINGTON RF, 1968, FIELD COMPUTATIONAL
[8]   A MOMENT METHOD SOLUTION OF A VOLUME-SURFACE INTEGRAL-EQUATION USING ISOPARAMETRIC ELEMENTS AND POINT MATCHING [J].
JIN, JM ;
VOLAKIS, JL ;
LIEPA, VV .
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1989, 37 (10) :1641-1645
[9]   ELECTROMAGNETIC-FIELDS INDUCED INSIDE ARBITRARILY SHAPED BIOLOGICAL BODIES [J].
LIVESAY, DE ;
CHEN, KM .
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1974, MT22 (12) :1273-1280
[10]   Indoor radio-wave propagation modeling by multilevel fast multipole algorithm [J].
Lu, CC .
MICROWAVE AND OPTICAL TECHNOLOGY LETTERS, 2001, 29 (03) :168-175