Műller Formulation for Analysis of Scattering from 3-D Dielectric Objects with Triangular Patching Model

Title & Authors
Műller Formulation for Analysis of Scattering from 3-D Dielectric Objects with Triangular Patching Model
Lee, Chang-Hyun; Cho, Jin-Sang; Jung, Baek-Ho; Sarkar Tapan K.;

Abstract
In this paper, we present a set of numerical schemes to solve the Muller integral equation for the analysis of electromagnetic scattering from arbitrarily shaped three-dimensional (3-D) dielectric bodies by applying the method of moments (MoM). The piecewise homogeneous dielectric structure is approximated by planar triangular patches. A set of the RWG (Rao, Wilton, Glisson) functions is used for expansion of the equivalent electric and magnetic current densities and a combination of the RWG function and its orthogonal component is used for testing. The objective of this paper is to illustrate that only some testing procedures for the Muller integral equation yield a valid solution even at a frequency corresponding to an internal resonance of the structure. Numerical results for a dielectric sphere are presented and compared with solutions obtained using other formulations.ℊ䜀Ѐ㘲〻ጀ䝥湥牡氠䕮杩湥敲楮最
Keywords
Dielectric;Electromagnetic scattering;Method of moments;$\small{M\ddot{u}ller}$ integral equation;
Language
English
Cited by
References
1.
J. R. Mautz and R. F. Harrington, 'Electromagnetic scattering from a homogeneous material body of revolution,' Arch. Elektron. Ubertragungstech., vol. 33, pp. 71-80, 1979

2.
R. F. Harrington, 'Boundary integral formulations for homogeneous material bodies,' J. Electromagn. Waves Applicat., vol. 3, no. 1, pp. 1-15, 1989

3.
S. M. Rao, D. R. Wilton, and A. W. Glisson, 'Electromagnetic scattering by surfaces of arbitrary shape,' IEEE Trans. Antennas Propagat., vol. 30, no. 5, pp. 409-418, May 1982

4.
X. Q. Sheng, J. M. Jin, J. M. Song, W. C. Chew, and C. C. Lu, 'Solution of combined-field integral equation using multilevel fast multipole algorithm for scattering by homogeneous bodies,' IEEE Trans. Antennas Propagat., vol. 46, no. 11, pp. 1718-1726, Nov. 1998

5.
B. H. Jung, T. K. Sarkar, and Y.-S. Chung, 'A survey of various frequency domain integral equations for the analysis of scattering from three-dimensional dielectric objects,' J. of Electromagn. Waves and Applicat., vol. 16. no. 10, pp. 1419-1421, 2002

6.
K. Umashankar, A. Taflove, and S. M. Rao, 'Electromagnetic scattering by arbitrary shaped threedimensional homogeneous lossy dielectric bodies,' IEEE Trans. Antennas Propagat., vol. 34, no. 6, pp. 758-766, June 1986

7.
S. M. Rao and D. R. Wilton, 'E-field, H-field, and combined field solution for arbitrarily shaped threedimensional dielectric bodies,' Electromagn., vol. 10, pp. 407-421, 1990

8.
S. Yeung, 'Single integral equation for electromagnetic scattering by three-dimensional homogeneous dielectric objects,' IEEE Trans. Antennas Propagat., vol. 47, no. 10, pp. 1615-1622, Oct. 1999