volume | PIER Journals

Abstract

A time domain integral equation approach for analysis of transient responses by 3D composite metallic-dielectric bodies is proposed, which is formulated using the surface equivalent polarization and magnetization as unknown functions. The time domain electric field integral equation is adopted for the metallic part, while the time domain Piggio-Miller-Chang-Harrington-Wu integral equations are adopted for the dielectric part. The spatial and temporal basis functions are the Rao-Wilton-Glisson functions and quadratic Bspline functions, respectively. Numerical examples are provided to demonstrate the stability and accuracy of the proposed method. No late-time instability is encountered, and the results are found in good agreements with analytical or moment method solutions.

1. Rynne, B. P. and P. D. Smith, "Stability of time-marching algorithms for electric field integral equation," Journal of Electromagnetic Waves and Applications, Vol. 4, 1181-1205, 1990.
doi:10.1163/156939390X00762 Google Scholar

2. Rynne, B. P., "Time domain Scattering from arbitrary surfaces using the electric field integral equation," Journal of Electromagnetic Waves and Applications, Vol. 5, 93-112, 1991. Google Scholar

3. Davies, P. J., "Stability of time-marching numerical schemes for the electric field integral equation," Journal of Electromagnetic Waves and Applications, Vol. 8, 85-114, 1994.
doi:10.1163/156939394X00821 Google Scholar

4. Davies, P. J. and D. B. Duncan, "Averaging techniques for timemarching schemes for retarded potential integral equations," App. Numer. Math., Vol. 23, 291-310, 1997.
doi:10.1016/S0168-9274(96)00069-4 Google Scholar

5. Lesha, M. J. and F. J. Paoloni, "Transient scattering from arbitrary conducting surfaces by iterative solution of the electric field integral equation," Journal of Electromagnetic Waves and Applications, Vol. 10, 1139-1167, 1996.
doi:10.1163/156939396X01224 Google Scholar

6. Manara, G., A. Monorchio, and R. Reggiannini, "A space-time discretization criterion for a stable time-marching solution of the electric field integral equation," IEEE T. Antenn. Propag., Vol. 45, 527-532, 1997.
doi:10.1109/8.558668 Google Scholar

7. Hu, J. L. and C. H. Chan, "Improved temporal basis functions using for time domain electric field integral equation method," Electro. Lett., Vol. 35, 883-885, 1999.
doi:10.1049/el:19990598 Google Scholar

8. Chung, Y. S., T. K. Sarker, B. H. Jung, et al. "Solution of a time domain magnetic-field integral equation for arbitrarily closed conducting bodies using an unconditionally stable methodology," Microw. Opt. Technol. Lett., Vol. 35, 493-499, 2002.
doi:10.1002/mop.10647 Google Scholar

9. Weile, D. S., G. Pisharody, N. W. Chen, B. Shanker, and E. Michielssen, "A novel scheme for the solution of the timedomain integral equations of electromagnetics," IEEE T. Antenn. Propag., Vol. 52, 283-295, 2004.
doi:10.1109/TAP.2003.822450 Google Scholar

10. Jiang, G. X., H. B. Zhu, G. Q. Ji, and W. Cao, "Improved stable scheme for the time domain integral equation method," IEEE Microw. Wirel. Compon. Lett., Vol. 17, 1-3, 2007.
doi:10.1109/LMWC.2006.887237 Google Scholar

11. Bluck, M. J. and S. P.Walker, "Time-domain BIE analysis of large three-dimensional electromagnetic scattering problems," IEEE T. Antenn. Propag., Vol. 45, 894-901, 1997.
doi:10.1109/8.575643 Google Scholar

12. Lu, M. and E. Michielssen, "Closed form evaluation of time domain fields due to Rao-Wilton-Glisson sources for use in marching-on-in-time based EFIE solvers," IEEE APS. Int. Symp. Dig., 74-77, 2002. Google Scholar

13. Xia, M. Y., G. H. Zhang, G. L. Dai, et al. "Stable solution of time domain integral equation methods using quadratic B-spline temporal basis functions," J. Comput. Math., Vol. 25, 374-384, 2007. Google Scholar

14. Wang, P., M. Y. Xia, J. M. Jin, and L. Z. Zhou, "Time domain integral equation solver using quadratic B-spline temporal basis functions," Microw. Opt. Techn. Lett., Vol. 49, 1154-1159, 2007.
doi:10.1002/mop.22385 Google Scholar

15. Zhang, G. H. and M. Y. Xia, "Analysis of transient scattering by dielectric objects using time domain integral equation methods with parallel computing," Acta Scientiarum Naturalium Uniersiatis Pekinensis, Vol. 44, 353-356, 2008. Google Scholar

16. Sarkar, T. K., W. Lee, and S. M. Rao, "Analysis of transient scattering from composite arbitrarily shaped complex structures," IEEE T. Antenn. Propag., Vol. 48, 1625-1634, 2000.
doi:10.1109/8.899679 Google Scholar

17. Rao, S. M. and T. K. Sarkar, "Numerical solution of time domain integral equation for arbitrarily shaped conductor/dielectric composite bodies," IEEE T. Antenn. Propag., Vol. 50, 1831-1837, 2002.
doi:10.1109/TAP.2002.807370 Google Scholar

18. Shanker, B., A. A. Ergin, and E. Michielssen, "Plane-wave-time-domain-enhanced marching-on-in-time scheme for analyzing scattering from homogeneous dielectric structures," J. Opt. Soc. Am. A., Vol. 19, 716-726, 2002.
doi:10.1364/JOSAA.19.000716 Google Scholar

19. Shanker, B., A. A. Ergin, K. Aygun, and E. Michielssen, "Analysis of transient electromagnetic scattering from closed surfaces using a combined field integral equation," IEEE T. Antenn. Propag., Vol. 48, 1064-1074, 2000.
doi:10.1109/8.876325 Google Scholar

20. Wang, P., M. Y. Xia, and L. Z. Zhou, "A study of accuracy of time domain integral equation methods for analysis of broadband electromagnetic scattering," Acta Scientiarum Naturalium Uniersiatis Pekinensis, Vol. 44, 62-66, 2008. Google Scholar

21. Jung, B. H., T. K. Sarkar, Y. S. Chung, et al. "Transient electromagnetic scattering from dielectric objects using the electric field integral equation with Laguerre polynomials as temporal basis functions," IEEE T. Antenn. Propag., Vol. 52, 2329-2340, 2004.
doi:10.1109/TAP.2004.834062 Google Scholar

22. Rao, S. M., D. R. Wilton, and A. W. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE T. Antenn. Propag., Vol. 30, 409-418, 1982.
doi:10.1109/TAP.1982.1142818 Google Scholar

Dr. Guai-Hong Zhang

Prof. Mingyao Xia

Professor Chi Hou Chan