volume | PIER Journals

Abstract

An efficient technique for the analysis of scattering by uniaxial anisotropic objects is presented. The technique is based on the method of higher order MoM of the surface integral equations. This higher order MoM solution uses the higher order hierarchical basis functions which are based on the modified Legendre polynomials. Numerical results are given to demonstrate that the higher order hierarchical basis functions are more accurate and efficient in the calculations of uniaxial anisotropic objects scattering problem than the low-order basis function.

1. Harrington, R. F., Field Computation by Moment Methods, Wiley-IEEE, New York, 1993.

2. Rao, S. M., D. R. Wilton, and A. W. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE Trans. Antennas Propag., Vol. 30, No. 3, 409-418, May 1982.
doi:10.1109/TAP.1982.1142818 Google Scholar

3. Schaubert, D. H., 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, 77-85, Jan. 1984.
doi:10.1109/TAP.1984.1143193 Google Scholar

4. Song, J. M., C. C. Lu, and W. C. Chew, "Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects," IEEE Trans. Antennas Propag., Vol. 45, No. 10, 1488-1493, Oct. 1997.
doi:10.1109/8.633855 Google Scholar

5. Sertel, K. and J. L. Volakis, "Multilevel fast multipole method solution of volume integral equations using parametric geometry modeling," IEEE Trans. Antennas Propag., Vol. 52, No. 7, 1686-1692, Jul. 2004.
doi:10.1109/TAP.2004.831401 Google Scholar

6. Bleszynski, E., M. Bleszynski, and T. Jaroszewicz, "AIM: Adaptive integral method for solving large-scale electromagnetic scattering and radiation problems ," Radio Science, Vol. 31, No. 5, 1225-1251, Sep.-Oct. 1996.
doi:10.1029/96RS02504 Google Scholar

7. Zhang, Z. Q. and Q. H. Liu, "A volume adaptive integral method (VAIM) for 3-D inhomogeneous objects," IEEE Antennas Wireless Propag. Lett., Vol. 1, 102-105, 2002.
doi:10.1109/LAWP.2002.805126 Google Scholar

8. Phillips, J. and J. White, "A precorrected-fft method for electrostatic analysis of complicated 3-d structures," IEEE Trans. Comput.-Aided Design Integr. Circuits Syst., Vol. 16, No. 10, 1059-1072, 1997.
doi:10.1109/43.662670 Google Scholar

9. 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 Propag., Vol. 53, No. 2, 818-824, Feb. 2005.
doi:10.1109/TAP.2004.841323 Google Scholar

10. Jorgensen, E., J. L. Volakis, P. Meincke, and O. Breinbjerg, "Higher order hierarchical legendre basis functions for electromagnetic modeling," IEEE Trans. Antennas Propag., Vol. 52, 2985-2995, Nov. 2004. Google Scholar

11. Jorgensen, E., P. Meincke, and O. Breinbjerg, "A hybrid PO higher-order hierarchical MoM formulation using curvilinear geometry modeling," IEEE International Symposium on Antennas and Propagation, Columbus, OH, USA, Jun. 2003. Google Scholar

12. Jorgensen, E., O. Kim, P. Meincke, and O. Breinbjcrg, "Higher-order hierarchical discretizationscheme for surface integral equations for layered media," IEEE Trans. on Geoscience and Remote Sensing, Vol. 42, No. 4, 764-772, Apr. 2004.
doi:10.1109/TGRS.2003.819881 Google Scholar

13. Kim, O. S., P. Meincke, O. Breinbjerg, and E. JΦrgensen, "Method of moments solution of volume integral equations using higher-order hierarchical Legendre basis functions," Radio Science, Vol. 39, 5003, 2004, 10.1029/2004RS003041. Google Scholar

14. Weiglhofer, W. S., "Dyadic green's functions for general uniaxial media," IEEE Proc. Microw. Antennas Propag., Vol. 137, No. 1, 5-10, Feb. 1990.
doi:10.1049/ip-h-2.1990.0002 Google Scholar

Dr. Chaojie Lv

Prof. Yan Shi

Professor Chang-Hong Liang