Analysis of Volume Integral Equation Formulations for Scattering by High-Contrast Penetrable Objects

被引：49

作者：

Markkanen, Johannes ^{[1
]}

Lu, Cai-Cheng ^{[2
]}

Cao, Xiande ^{[2
]}

Yla-Oijala, Pasi ^{[1
]}

机构：

[1] Aalto Univ, Dept Radio Sci & Engn, Sch Elect Engn, Espoo 00076, Finland

[2] Univ Kentucky, Dept Elect & Comp Engn, Lexington, KY 40506 USA

来源：

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2012年 / 60卷 / 05期

基金：

芬兰科学院;

关键词：

Electromagnetic scattering; high-contrast dielectrics; volume integral equation methods; ELECTROMAGNETIC SCATTERING; FINITE-ELEMENTS; EM SCATTERING; BODIES; PERMITTIVITY; ORDER;

D O I：

10.1109/TAP.2012.2189704

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：

The volume integral equation method is applied in electromagnetic scattering from arbitrarily shaped three-dimensional inhomogeneous objects. The properties of the volume electric and magnetic field integral equations (VEFIE and VMFIE) are investigated. Numerical experiments show that if the Galerkin's method with the lowest mixed-order basis functions is used to discretize the equations the accuracy of the VMFIE can be significantly poorer than the accuracy of the VEFIE, in particular, for high-contrast objects at high frequencies. The accuracy of the VMFIE can be essentially improved with full first order (linear) basis functions. The linear basis functions are found to be useful also when a single volume integral equation is used to model a general scatterer where both permittivity and permeability differ from the background.

引用

页码：2367 / 2374

页数：8

共 26 条

[1] Iterative forward and inverse algorithms based on domain integral equations for three-dimensional electric and magnetic objects [J].

Abubakar, A ;

van den Berg, PM .

JOURNAL OF COMPUTATIONAL PHYSICS, 2004, 195 (01) :236-262

[2] Solving the volume integral equations of electromagnetic scattering [J].

Botha, Matthys M. .

JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 218 (01) :141-158

[3]

Chew W., 2001, Fast and Efficient Algorithms in Computational Electromagnetics

[4]

Colton D., 1983, INTEGRAL EQUATION ME

[5]

Cools K., 2009 IEEE INT AP S S

[6] Scattering from 3-D inhomogeneous chiral bodies of arbitrary shape by the method of moments [J].

Hasanovic, Moanter ;

Mei, Chong ;

Mautz, Joseph R. ;

Arvas, Ercument .

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2007, 55 (06) :1817-1825

[7] Singularity extraction technique for integral equation methods with higher order basis functions on plane triangles and tetrahedra [J].

Järvenpää, S ;

Taskinen, M ;

Ylä-Oijala, P .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2003, 58 (08) :1149-1165

[8] Integral equation based analysis of scattering from 3-D inhomogeneous anisotropic bodies [J].

Kobidze, G ;

Shanker, B .

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2004, 52 (10) :2650-2658

[9] Accurate solution of the volume integral equation for high-permittivity scatterers [J].

Kottmann, JP ;

Martin, OJF .

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2000, 48 (11) :1719-1726

[10] Applying divergence-free condition in solving the volume integral equation [J].

Li, M. -K. ;

Chew, W. C. .

PROGRESS IN ELECTROMAGNETICS RESEARCH-PIER, 2006, 57 :311-333

← 1 2 3 →