On the Application of Continuity Condition in the Volume-Surface Integral Equation for Composite Closed PEC-Electrical Anisotropy Objects
Keywords:
Continuity condition, electrical anisotropy, method of moments (MoM), volume-surface integral equation (VSIE)Abstract
The validity of the use of continuity condition (CC), combined with the volume-surface integral equation (VSIE), is studied when it is explicitly enforced on the closed perfect electric conductor (PEC)-electrical anisotropy interfaces. It is found that if the standard magnetic field integral equation (MFIE) is involved in the VSIE to model the closed PEC surfaces, the solution might be inaccurate, especially when the CC is enforced. The reason for this phenomenon is discussed, and two previously reported approaches are adopted to improve the accuracy of MFIE. Numerical results show that whether the CC is enforced or not, the improvement of the MFIE will result in more accurate VSIE solution.
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References
W. C. Chew, J. M. Jin, E. Michielssen, and J. M. Song, Fast and Efficient Algorithms in Computational Electromagnetics. MA: Artech House, Boston, 2001.
R. F. Harrington, Field Computation by Moment Methods. MacMillan, New York, 1968.
C. C. Lu and W. C. Chew, “A coupled surfacevolume integral equation approach for the calculation of electromagnetic scattering from composite metallic and material targets,” IEEE Trans. Antennas Propag., vol. 48, no. 12, pp. 1866- 1868, Dec. 2000.
K. Xiao, S .L. Chai, and L. W. Li, “Comparisons of coupled VSIE and noncoupled VSIE formulations,” Journal of Electromagnetic Waves & Applications, vol. 25, no. 10, pp. 1341-1351, 2011.
O. S. Kim, P. Meincke, O. Breinbjerg, and E. Jørgensen, “Solution of volume-surface integral equations using higher-order hierarchical Legendre basis functions,” Radio Science, vol. 42, no. 4, pp. RS4023, 10.1029/2006RS003584.
M. He, J. Liu, B. Wang, C. Zhang, and H. Sun, “On the use of continuity condition in the fast solution of volume-surface integral equation,” IEEE Antennas and Wireless Propagation Letters, vol. 16, pp. 625-628, 2017.
Ö. Ergül and L. Gürel, “Investigation of the inaccuracy of the MFIE discretized with the RWG basis functions,” Antennas & Propagation Society International Symposium, vol. 3, pp. 3393-3396, Dec. 2004.
L. Gürel and Ö. Ergül, “Singularity of the magneticfield integral equation and its extraction,” IEEE Antennas and Wireless Propagation Letters, vol. 4, pp. 229-232, 2005.
J. M. Rius, E. Úbeda, and J. Parrón, “On the testing of the magnetic field integral equation with RWG basis functions in method of moments,” IEEE Trans. Antennas Propag., vol. 49, no. 11, pp. 1866- 1868, Dec. 2001.
S. M. Rao, D. R. Wilton, and A. W. Glisson, “Electromagnetic scattering by surfaces of arbitrary shape,” IEEE Trans. Antennas Propag., vol. 30, no. 5, pp. 409-418, May 1982.
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 Propag., vol. 32, no. 1, pp. 77-85, Jan. 1984.
E. H. Neuman and M. R. Schrote, “On the current distribution for open surfaces,” IEEE Trans. Antennas Propag., vol. 31, no. 3, pp. 1550-1553, May 1983.
