An Integral Equation-Based Approach to Analyzing Symmetrical Electromagnetic Models Through Decomposition and Recomposition of Excitation Vectors
Keywords:
Integral equation, recomposition, symmetry model, vector decompositionAbstract
In this paper, an Integral Equationbased Simplification Method (IE-SM) is presented for the efficient analysis of the symmetrical electromagnetic model. The proposed approach stems from the decomposition and recomposition of any arbitrary excitation sources into a set of independent vectors which induce a symmetrical current distribution. Compared to the Conventional Integral Equation (CIE) method for modeling an entire structure, this simplification method not only saves computation resources and time by reducing the number of unknowns, but also maintains the computation accuracy. In addition, this method has a simple integral equation formulation, so it can be easily accelerated with fast algorithms and integrated into the existing Method of Moments (MoM) codes. Numerical examples show that the proposed method demonstrates both satisfactory accuracy and efficiency with less computational complexity.
Downloads
References
J. Lobry, J. Trecat, and C Broche, “Broken symmetry in the boundary element method,” IEEE Trans. Magn., vol. 31, no. 3, May 1995.
H. Tsuboi, A. Sakurai, and T. Naito, “A simplification of boundary element model with rotational symmetry in electromagnetic field analysis,” IEEE Trans. Magn., vol. 26, no. 5, pp. 2771-2773, September 1990.
H. Tsuboi, M. Tanaka, T. Misaki, M. Analoui, T. Naito, and T. Morita, “Reduction of vector unknowns using geometric symmetry in a triangular-patch moment method for electromagnetic scattering and radiation analysis,” IEEE Trans. Magn., vol. 28, no. 2, March 1992.
G. J. Burke and A. J. Poggio, “Numerical electromagnetics code (NEC)-method of moments,” Lawrence Livermore Laboratory, January 1981.
T. Naito and H. Tsuboi, “A simplification method for reflective and rotational symmetry model in electromagnetic field analysis,” IEEE Trans. Magn., vol. 37, no. 5, September 2001.
“User’s manual,” FEKO Suite 6.0, pp. 6-44, September 2010.
Ansys HFSS12 Full Book, pp. 3.1-10, January 2010.
CST MICROWAVE STUDIO, “Workflow and solver Overview,” pp. 27-31, 2010.
K. A. Michalski and J. R. Mosig, “Multilayered media Green’s functions in integral equation formulations,” IEEE Trans. Antennas Propag., vol. 45, pp. 508-519, March 1997.
P. J. Davis, “Circulant matrices (2 edition),” Chelsea Press, 1994.
S. M. Rao, D. R. Wilton, and A. W. Gilisson, “Electromagnetic scattering by surfaces of arbitrary shape,” IEEE Trans. Antennas Propag., vol. AP-30, no. 3, pp. 409-518, 1982.
S. N. Makarov, “Antenna and EM modeling with MATLAB,” New York: Wiley, 2002.
G. Strang, “Introduction to linear algebra,” Wellesley-Cambridge Press, U.S., 2009.
Y. Saad and M. H. Schultz, “GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems,” SIAM J. Sci. Stat. Comput., vol. 7, no. 3, pp. 856-869, July 1986.
M. Bozzi, L. Perregrini, J. Weinzierl, and C. Winnewisser, “Efficient analysis of quasi-optical filters by a hybrid MoM/BI-RME method,” IEEE Trans. Antennas Propag., vol. 49, no. 7, pp. 1054- 1064, July 2001.
