PIER
 
Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 107 > pp. 239-252

MULTILEVEL GREEN'S FUNCTION INTERPOLATION METHOD SOLUTION OF VOLUME/SURFACE INTEGRAL EQUATION FOR MIXED CONDUCTING/BI-ISOTROPIC OBJECTS

By Y. Shi, X. Luan, J. Qin, C. Lv, and C.-H. Liang

Full Article PDF (381 KB)

Abstract:
This paper proposes a multilevel Green's function interpolation method (MLGFIM) to solve electromagnetic scattering from objects comprising both conductor and bi-isotropic objects using volume/surface integral equation (VSIE). Based on equivalence principle, the volume integral equation (VIE) in terms of volume electric and magnetic flux densities and surface integral equation (SIE) in terms of surface electric current density are first formulated for inhomogeneous bi-isotropic and conducting objects, respectively, and then are discretized using the method of moments (MoM). The MLGFIM is adopted to speed up the iterative solution of the resultant equation and reduces the memory requirement. Numerical examples are presented to show good accuracy and versatility of the proposed algorithm in dealing with a wide array of scattering problems.

Citation:
Y. Shi, X. Luan, J. Qin, C. Lv, and C.-H. Liang, "Multilevel Green's Function Interpolation Method Solution of Volume/Surface Integral Equation for Mixed Conducting/BI-Isotropic Objects," Progress In Electromagnetics Research, Vol. 107, 239-252, 2010.
doi:10.2528/PIER10060209
http://www.jpier.org/PIER/pier.php?paper=10060209

References:
1. Lindell, I. V., A. H. Sihvola, S. A. Tretyakov, and A. J. Viitanen, Electromagnetic Waves in Chiral and Bi-isotropic Media, Artech House, Norwood, MA, 1994.

2. Serdyukov, A., I. Semchenko, S. Treyakov, and A. Sihvola, "Electromagnetics of Bi-anisotropic Materials Theory and Applications," Gordon and Breach Science Publishers, Amsterdam, 2001.

3. Bohren, C. F., "Light scattering by an optically active sphere," Chem. Phys. Lett., Vol. 29, 458-462, 1974.

4. Bohren, C. F., "Scattering of electromagnetic waves by an optically active cylinder," J. Colloid Interface Sci., Vol. 66, 105-109, 1978.

5. Worasawate, D., J. R. Mautz, and E. Arvas, "Electromagnetic scattering from an arbitrarily shaped three-dimensional homogeneous chiral body," IEEE Trans. Antennas Propagat., Vol. 51, 1077-1084, 2003.

6. Wang, D. X., E. K. N. Yung, R. S. Chen, and P. Y. Lau, "An efficient volume integral equation solution to EM scattering by complex bodies with inhomogeneous bi-isotropy," IEEE Trans. Antennas Propagat., Vol. 55, 1970-1980, 2007.

7. Semichaevsky, A., A. Akyurtlu, D. Kem, D. H. Werner, and M. G. Bray, "Novel BI-FDTD approach for the analysis of chiral cylinders and spheres," IEEE Trans. Antennas Propagat., Vol. 54, 925-932, 2006.

8. Akyurtlu, A. and D. H. Werner, "A novel dispersive FDTD formulation for modeling transient propagation in chiral metamaterials," IEEE Trans. Antennas Propagat., Vol. 52, 2267-2276, 2004.

9. Sharma, R. and N. Balakrishnan, "Scattering of electromagnetic waves from arbitrary shaped bodies coated with a chiral material," Smart Mater. Struct., Vol. 7, 851-866, 1998.

10. Ghaffar, A. and Q. A. Naqvi, "Study of focusing of field refracted by a cylindrical plano-convex lens into a uniaxial crystal using Maslov's method," Journal of Electromagnetic Waves and Applications, Vol. 22, No. 5-6, 665-679, 2008.

11. Lu, C. C. and W. C. Chew, "A multilevel algorithm for solving a boundary integral equation of wave scattering," Microw. Opt. Tech. Lett., Vol. 7, 456-461, 1994.

12. Song, J. M., C. C. Lu, and W. C. Chew, "Multilevel fast ltipole algorithm for electromagnetic scattering by large complex objects," IEEE Trans. Antennas Propagat., Vol. 45, 1488-1493, 1997.

13. Yang, M. L. and X. Q. Sheng, "Parallel high-order FE-BI-MLFMA for scattering by large and deep coated cavities loaded with obstacles," Journal of Electromagnetic Waves and Applications, Vol. 23, No. 13, 1813-1823, 2009.

14. Chew, W. C., J. M. Jin, E. Michielssen, and J. M. Song, Fast and EĀ±cient Algorithms in Computational Electromagnetics, Artech House, Norwood, MA, 2001.

15. Bleszynski, E., M. Bleszynski, and T. Jaroszewicz, "AIM: Adaptive integral method for solving large-scale electromagnetic scattering and radiation problems," Radio Sci., Vol. 31, 1225-1251, 1996.

16. Ling, F., C. F. Wang, and J. M. Jin, "An efficient algorithm for analyzing large-scale microstrip structures using adaptive integral method combined with discrete complex image method," IEEE Trans. Microw. Theory Tech., Vol. 48, 832-837, 2000.

17. Hu, L., L. W. Li, and T.-S. Yeo, "Analysis of scattering by large inhomogeneous bi-anisotropic objects using AIM," Progress In Electromagnetics Research, Vol. 99, 21-36, 2009.

18. Chan, C. H., C. M. Lin, L. Tsang, and Y. F. Leung, "A sparse-matrix/canonical grid method for analyzing microstrip structures," IEICE Trans. Electron, E80-C, 1354{1359, 1997.

19. Li, S. Q., Y. X. Yu, C. H. Chan, K. F. Chan, and L. Tsang, "A sparse-matrix/canonical grid method for analyzing densely packed interconnects," IEEE Trans. Microw. Theory Tech., Vol. 49, 1221-1228, 2001.

20. Phillips, J. R. and J. K. White, "A precorrected-FFT method for electrostatic analysis of complicated 3-D structures," IEEE Trans. Comput. Aided Des. Integr. Circuits Syst., Vol. 16, 1059-1072, 1997.

21. Nie, X. C., N. Yuan, L. W. Li, Y. B. Gan, and T. S. Yeo, "A fast volume-surface integral equation solver for scattering from composite conducting-dielectric objects," IEEE Trans. Antennas Propagat., Vol. 52, 818-824, 2005.

22. Wang, H. G., C. H. Chan, and L. Tsang, "A new multilevel Green's function interpolation method for large-scale low-frequency EM simulations," IEEE Trans. Comput. Aided Des. Integr. Circuits Syst., Vol. 24, 1427-1443, 2005.

23. Wang, H. G. and C. H. Chan, "The implementation of multilevel Green's function interpolation method for full-wave electromagnetic problems ," IEEE Trans. Antennas Propagat., Vol. 55, 1348-1358, 2007.

24. Li, L., H. G. Wang, and C. H. Chan, "An improved multilevel Green's function interpolation method with adaptive phase compensation for large-scale full-wave EM simulation," IEEE Trans. Antennas Propagat., Vol. 56, 1381-1393, 2008.

25. Shi, Y., H. G. Wang, L. Li, and C. H. Chan, "Multilevel Green's function interpolation method for scattering from composite metallic and dielectric objects," J. Opt. Soc. Am. A, Vol. 25, 2535-2548, 2008.

26. Shi, Y. and C. H. Chan, "Multilevel Green's function interpolation method for analysis of 3-D frequency selective structures using volume/surface integral equation," J. Opt. Soc. Am. A, Vol. 27, 308-318, 2010.

27. Shi, Y. and C. H. Chan, "Solution to electromagnetic scattering by Bi-isotropic media using multilevel Green's function interpolation method," Progress In Electromagnetics Research, Vol. 97, 259-274, 2009.

28. Graglia, R. D., D. R. Wilton, and A. F. Peterson, "Higher order interpolatory vector bases for computational electromagnetics," IEEE Trans. Antennas Propagat., Vol. 45, 329-342, 1997.

29. Saad, Y. and M. Schultz, "GMRES: A generalized minimal residual algorithm for solving non symmetric linear systems," SIAM J. Sci. Stat. Comput., Vol. 7, 856-869, 1986.

30. Horn, R. A. and C. R. Johnson, Topics in Matrix Analysis, Cambridge University Press, New York, 1991.

31. Xie, Y., J. He, A. Sullivan, and L. Carin, "A simple preconditioner for electric-field integral equations," Microw. Opt. Technol. Lett., Vol. 30, 51-54.


© Copyright 2014 EMW Publishing. All Rights Reserved