MoM Solution to Scattering from Three-Dimensional Inhomogeneous Magnetic and Dielectric Bodies
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MoM Solution to Scattering from Three-Dimensional Inhomogeneous Magnetic and Dielectric BodiesAbstract
This paper presents a method of moments solution to scattering problems that involve inhomogeneous magnetic and dielectric bodies of arbitrary shapes. The volume equivalence principle was used to switch from an original problem that deals with an inhomogeneous magnetic and dielectric scatterer to a problem in free space with equivalent sources. The problem is described through a mixed potential formulation. The method of moments technique is then applied to achieve a numerical solution to the original problem. The volume of the scatterer is meshed by tetrahedral cells and face-based functions are applied to expand unknown quantities. Special attention is paid to the curl operation on vector potentials and corresponding volume integrals. The proposed formulation has been evaluated through some examples.
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D. H. Schaubert, D. R. Wilton, and A. W. Glisson,
“A tetrahedral modeling method for electromagnetic
scattering by arbitrarily shaped inhomogeneous
dielectric bodies,” IEEE Trans. Antennas Propagat.,
vol. AP-32, pp. 77–85, Jan. 1984.
D. H. Schaubert and P. M. Meaney, “Efficient
computation of scattering by inhomogeneous
dielectric bodies,” IEEE Trans. Antennas Propagat.,
vol. AP-34, pp. 587–592, Apr. 1986.
D. R. Wilton, S. M. Rao, A. W. Glisson, D. H.
Schaubert, O. M. Al-Bundak, and C. M. Butler,
“Potential integrals for uniform and linear source
distributions on polygonal and polyhedral domains,”
IEEE Trans. Antennas Propagat., vol. AP-32, pp.
–281, Mar. 1984.
S. Kulkarni, R. Lemdiasov, R. Ludwig, and S.
Makarov, “Comparison of two sets of low-order
basis functions for tetrahedral VIE modeling,” IEEE
Trans. Antennas Propagat., vol. 52, pp. 2789–2794,
Oct. 2004.
L. S. Mendes and S. A. Carvalho, “Scattering of EM
waves by homogeneous dielectrics with the use of
the method of moments and 3D solenoidal basis
functions,” Microwave and Optical Technology
Letters, vol. 12, no. 6, pp. 327–331, Aug. 1996.
S. A. Carvalho and L. S. Mendes, “Scattering of EM
waves by inhomogeneous dielectrics with the use of
the method of moments and 3-D solenoidal basis
functions,” Microwave and Optical Technology
Letters, vol. 23, no. 1, pp. 42–46, Oct. 1999.
L. S. Mendes and E. Arvas, “Scattering of a TM
wave by a chiral cylinder with the use of the method
of moments and solenoidal basis functions,”
Microwave and Optical Technology Letters, vol. 14,
no. 4, pp. 225–227, Mar. 1997.
N. Morita, N. Kumagai, and J. R. Mautz, Integral
Equation Methods for Electromagnetics. Boston:
Artech House, 1990.
R. D. Graglia, “Static and dynamic potential
integrals for linearly varying source distributions in
two- and three-dimensional problems,” IEEE Trans.
Antennas Propagat., vol. AP-35, pp. 662–669, June
V. Demir, A. Elsherbeni, D. Worasawate, and E.
Arvas, “A graphical user interface (GUI) for plane
wave scattering from a conducting, dielectric or a
chiral sphere,” Software at ACES web site:
http://aces.ee.olemiss.edu, Sept. 2004.
M. Hasanovic, “Electromagnetic scattering from an
arbitrarily shaped three-dimensional inhomogeneous
chiral body,” Ph.D. Dissertation, Syracuse
University, 2006.
L. Kuzu, V. Demir, A. Z. Elsherbeni, and E. Arvas
“Electromagnetic scattering from arbitrarily shaped
chiral objects using the finite difference frequency
domain method,” Journal of Electromagnetic Waves
and Applications (JEMWA), 2006. (Accepted for
publication)
X. C. Nie, N. Yuan, L. W. Li, Y. B. Gan, and T. S.
Yeo, “A fast combined field volume integral
HASANOVIC, MEI, MAUTZ, ARVAS: MOM SOLUTION FROM 3D INHOMOGENEOUS BODIES 51
equation solution to EM scattering by 3-D dielectric
objects of arbitrary permittivity and permeability,”
IEEE Trans. Antennas Propagat., vol. 54, pp. 961–
, Mar. 2006.
