DocumentCode :
2699646
Title :
A nonconformal volume integral equation for electromagnetic scattering from anisotropic materials
Author :
Ozdemir, Nilufer A. ; Lee, Jin-Fa
Author_Institution :
Dept. of Electr. & Comput. Eng., Ohio State Univ., Columbus, OH
fYear :
2006
fDate :
9-14 July 2006
Firstpage :
2889
Lastpage :
2892
Abstract :
The purpose of this study is to formulate integral equations for electromagnetic scattering by arbitrarily shaped anisotropic bodies with complex permittivity and permeability tensors, epsir and mur, respectively, and to develop a code for the efficient solution of such equations. A coupled integral equation is obtained that represents both the electric and magnetic fields, Erarr(r rarr) and Hrarr(rrarr), respectively, to account for both the electric and magnetic properties of the scatterer. To obtain a nonconformal volume integral equation (VIE), imposing divergence or curl operators on the unknown vectors are avoided by applying instead the gradient-gradient operator on the Green´s function. In the method of moments (MoM) solution of the presented VIE tetrahedral discretization is employed for accurate and flexible geometric modeling. Applying the gradient-gradient operator on the Green´s function gives the flexibility to choose piecewise constant functions to expand Erarr(rrarr) and Hrarr(rrarr) and to test the electric and magnetic polarization currents, Jrarr(rrarr) and Mrarr(rrarr), respectively. Moreover, the resulting coefficient matrix is symmetric for a reciprocal medium due to the symmetry of the volume integral operators in the formulation
Keywords :
Green´s function methods; anisotropic media; electric fields; electromagnetic wave scattering; integral equations; magnetic fields; matrix algebra; method of moments; permeability; permittivity; polarisation; tensors; Green´s function; anisotropic materials; arbitrarily shaped anisotropic bodies; coefficient matrix; complex permittivity; coupled integral equation; electric field; electric polarization current; electromagnetic scattering; geometric modeling; gradient-gradient operator; magnetic field; magnetic polarization current; method of moments; nonconformal volume integral equation; permeability tensors; piecewise constant functions; reciprocal medium; tetrahedral discretization; Anisotropic magnetoresistance; Couplings; Electromagnetic scattering; Green´s function methods; Integral equations; Magnetic fields; Magnetic properties; Permeability; Permittivity; Tensile stress;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Antennas and Propagation Society International Symposium 2006, IEEE
Conference_Location :
Albuquerque, NM
Print_ISBN :
1-4244-0123-2
Type :
conf
DOI :
10.1109/APS.2006.1711210
Filename :
1711210
Link To Document :
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