Solving Mixed Dielectric/Conducting Scattering Problem Using Adaptive Integral Method

doi:10.2528/PIER03091001

PIER
Progress In Electromagnetics Research	ISSN: 1070-4698, E-ISSN: 1559-8985

Home > Vol. 46 > pp. 143-163

SOLVING MIXED DIELECTRIC/CONDUCTING SCATTERING PROBLEM USING ADAPTIVE INTEGRAL METHOD

By W.-B. Ewe, J. L.-W. Li, and M.-S. Leong

Full Article PDF (328 KB)
Abstract:
This paper presents the adaptive integral method (AIM) utilized to solve scattering problem of mixed dielectric/conducting objects. The scattering problem is formulated using the Poggio-Miller- Chang-Harrington-Wu-Tsai (PMCHWT) formulation and the electric field integral equation approach for the dielectric and conducting bodies, respectively. The integral equations solved using these approaches can eliminate the interior resonance of dielectric bodies and produce accurate results. The method of moments (MoM) is applied to discretize the integral equations and the resultant matrix system is solved by an iterative solver. The AIM is used then to reduce the memory requirement for storage and to speed up the matrix-vector multiplication in the iterative solver. Numerical results are finally presented to demonstrate the accuracy and efficiency of the technique.

Citation: (See works that cites this article)
W.-B. Ewe, J. L.-W. Li, and M.-S. Leong, "Solving Mixed Dielectric/Conducting Scattering Problem Using Adaptive Integral Method," Progress In Electromagnetics Research, Vol. 46, 143-163, 2004.
doi:10.2528/PIER03091001
http://www.jpier.org/PIER/pier.php?paper=0309101

References:
1. Rokhlin, V., "Rapid solution of integral equation of scattering theory in two dimensions," J. Comput. Phys., Vol. 86, No. 2, 414-439, 1990.
doi:10.1016/0021-9991(90)90107-C

2. Coifman, R., V. Rokhlin, and S. Wandzura, "The fast multipole method for the wave equation: A pedestrian prescription," IEEE Antennas Propagat. Mag., Vol. 35, No. 6, 7-12, 1993.
doi:10.1109/74.250128

3. Lu, C. C. and W. C. Chew, "A multilevel algorithm for solving boundary integral equations of wave scattering," Microwave Opt. Tech. Lett., Vol. 7, No. 10, 466-470, 1994.

4. Song, J. M. and W. C. Chew, "Multilevel fast-multipole algorithm for solving combined field integral equations of electromagnetics scattering," Microwave Opt. Tech. Lett., Vol. 10, No. 1, 14-19, 1995.

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

6. Sarkar, T. K., E. Arvas, and S. M. Rao, "Application of FFT and the conjugate gradient method for the solution of electromagnetic radiation from electrically large and small conducting bodies," IEEE Trans. Antennas Propagat., Vol. 34, No. 5, 635-640, 1986.
doi:10.1109/TAP.1986.1143871

7. Nie, X. C., L. W. Li, N. Yuan, and Y. T. Soon, "Precorrected- FFT algorithm for solving combined field integral equations in electromagnetic scattering," J. Electromag. Waves Applicat., Vol. 16, No. 8, 1171-1187, 2002.

8. Nie, X. C., L.W. Li, N. Yuan, Y. T. Soon, and Y. B. Gan, "Fast analysis of scattering by arbitrarily shaped three-dimensional objects using the precorrected-FFT method," Microwave Opt. Tech. Lett., Vol. 34, No. 6, 438-442, 2002.
doi:10.1002/mop.10488

9. Bleszynski, E., M. Bleszynski, and T. Jaroszewicz, "A fast integral equation solver for electromagnetic scattering problems," IEEE APSInt. Symp. Dig., Vol. 1, 416-419, 1994.

10. Bleszynski, E., M. Bleszynski, and T. Jaroszewicz, "AIM: adaptive integral method for solving large-scale electromagnetic scattering and radiation problems," Radio Sci., Vol. 31, No. 10, 1225-1251, 1996.
doi:10.1029/96RS02504

11. Ling, F., C. F. Wang, and J. M. Jin, "Application of adaptive integral method to scattering and radiation analysis of arbitrarily shaped planar structures," J. Electromag. Waves Applicat., Vol. 12, No. 8, 1021-1038, 1998.

12. 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. Antennas Propagat., Vol. 48, No. 5, 832-839, 2000.

13. Medgyesi-Mitschang, L. N. and J. M. Putnam, "Electromagnetic scattering from axially inhomogeneous bodies of revolution," IEEE Trans. Antennas Propagat., Vol. 32, No. 8, 797-806, 1984.
doi:10.1109/TAP.1984.1143430

14. Medgyesi-Mitschang, L. N., J. M. Putnam, and M. B. Gedera, "Generalized method of moments for three-dimensional penetrable scatterers," J. Opt. Soc. Am. A., Vol. 11, No. 4, 1383-1398, 1994.

15. Li, J. Y., L. W. Li, and Z. Z. Oo, "Electromagnetic scattering by a mixture of conducting and dielectric objects: Analysis using method of moments," accepted by IEEE Trans. Vehicular Technology..

16. Poggio, A. J. and E. K. Miller, "Integral equation solution of three dimensional scattering problems," Computer Techniques for Electromagnetics, 1973.

17. Chang, Y. and R. F. Harrington, "A surface formulation for characteristic modes of material bodies," IEEE Trans. Antennas Propagat., Vol. 25, No. 6, 789-795, 1977.
doi:10.1109/TAP.1977.1141685

18. Wu, T. K. and L. L. Tsai, "Scattering from arbitrarily-shaped lossy dielectric bodies of revolution," Radio Sci., Vol. 12, No. 5, 709-718, 1977.

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