volume | PIER Journals

Abstract

Discrete complex image method is introduced to get a closed-form dyadic Green's function by a sum of spherical waves. However, the simulation result by the traditional discrete complex image method is only valid in near-field for several wavelengths. In this paper, we analyze the form of spectral domain dyadic Green's function in the whole k_ρ plane and the variety of valid range of simulation results by different sampling paths in two-level discrete complex image method. Consequently, for dyadic Green's function, surface wave pole contribution both in spectral domain and spatial domain is clarified. We introduce the automatic incorporation of surface wave poles in discrete complex image method without extracting surface wave poles. The contribution of surface wave poles in spectral domain and spatial domain dyadic Green's function is further confirmed in the new method. Besides, this method can represent dyadic Green's function by spherical waves in the layer where the source and field points are. So it satisfies the splitting requirement and consequently reduces the computational complexity dramatically especially for objects with large scale in ẑ direction.

1. Van den Bosch, I., S. Lambot, M. Acheroy, I. Huynen, and P. Druyts, "Accurate and efficient modeling of monostatic GPR signal of dielectric targets buried in stratified media," Journal of Electromagnetic Waves and Applications, Vol. 20, 283-290, 2006.
doi:10.1163/156939306775701704 Google Scholar

2. Harrington, R. F., Field Computation by Moment Methods, Macmillan, 1968.

3. Michalski, K. A. and D. Zheng, "Electromagnetic scattering and radiation by surface of arbitrary shape in layered media — Part I: Theory," IEEE Trans. Antennas Propag., Vol. 38, No. 3, 335-344, 1990.
doi:10.1109/8.52240 Google Scholar

4. Michalski, K. A. and D. Zheng, "Electromagnetic scattering and radiation by surface of arbitrary shape in layered media — Part II: Implementation and results for contiguous half-space," IEEE Trans. Antennas Propag., Vol. 38, No. 3, 344-352, 1990. Google Scholar

5. 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 Propag., Vol. AP-34, No. 5, 635-640, 1986.
doi:10.1109/TAP.1986.1143871 Google Scholar

6. 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. 5, 1225-1251, 1996.
doi:10.1029/96RS02504 Google Scholar

7. Song, J., 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, 1997.
doi:10.1109/8.633855 Google Scholar

8. Saltykov, E. G., "The spectral expansion on the entire real line of Greens function for a three-layer medium in the fundamental functions of a nonself-adjoint sturm-liouville operator," Progress In Electromagnetics Research Symposium, Vol. 2, No. 4, 344-346, 2006.

9. Aksun, M. I. and T. Onal, "Critical study of DCIM, and development of efficient simulation tool for 3D printed structures in multilayer media," Progress In Electromagnetics Research Symposium, Vol. 2, No. 1, 35-37, 2006.

10. Dural, G. and M. I. Aksun, "Closed-form Green's function for general sources and stratified media," IEEE Trans. Microw. Theory Tech., Vol. 43, No. 7, 1545-1552, 1995.
doi:10.1109/22.392913 Google Scholar

11. Aksun, M. I., "A robust approach for the derivation of closed-form Green's functions," IEEE Trans. Microw. Theory Tech., Vol. 44, No. 5, 651-658, 1996.
doi:10.1109/22.493917 Google Scholar

12. Jiang, L. J., W. C. Chew, and Y. C. Pan, "Capacitance extraction in the multilayer medium using DCIM and SMFMA," Journal of Electromagnetic Waves and Applications, Vol. 19, 1851-1864, 2005.
doi:10.1163/156939305775570530 Google Scholar

13. Liu, Y.L. W. Li, and M. S. Leong, "Calculation of spatialdomain green functions for multi-layered media using DCIM with automatic handling of surface wave poles," Proc. Inst. Electr. Eng. — Microw. Antennas Prop., Vol. 151, No. 3, 236-240, 2004.

14. Aksun, M. I. and G. Dural, "Clarification of issues on the closedform Green's functions in the stratified media," IEEE Trans. Antennas. Propag., Vol. 53, No. 11, 3644-3653, 2005.
doi:10.1109/TAP.2005.858571 Google Scholar

15. Kipp, R. A. and C. H. Chan, "Complex image method for sources in bounded regions of multilayer structures," IEEE Trans. Microw. Theory Tech., Vol. 42, No. 5, 1994.
doi:10.1109/22.293536 Google Scholar

16. Xu, X. B. and Y. F. Huang, "An efficient analysis of vertical dipole antennas above a lossy half-space," Progress In Electromagnetics Research, Vol. 74, 353-377, 2007.
doi:10.2528/PIER07052202 Google Scholar

17. Yuan, M. T., T. L. Sarkar, and Salazar-Palma, "A discrete complex image method from the closed-form Green's functions in multilayered media," IEEE Trans. Microw. Theory Tech., Vol. 54, No. 3, 1025-1032, 2006.
doi:10.1109/TMTT.2005.864138 Google Scholar

18. Soliman, E. A. and G. A. E. Vandenbosch, "Green's functions of filament sources embedded in stratified dielectric media," Progress In Electromagnetics Research, Vol. 62, 21-40, 2006.
doi:10.2528/PIER06022401 Google Scholar

19. Polimeridis, A. G., T. V. Yioultsis, and T. D. Tsiboukis, "An efficient pole extraction technique for the computation of Green's functions in stratified media using a sine transformation," IEEE Trans. Antennas Propag., Vol. 55, No. 1, 227-229, 2007.
doi:10.1109/TAP.2006.886574 Google Scholar

20. Zhang, Y. H., B. X. Xiao, and G. Q. Zhu, "An improved weak-form BCGS-FFT combined with DCIM for analyzing electromagnetic scattering by 3-D objects in planarly layered media," IEEE Trans. Geosci. Remote Sens., Vol. 44, No. 12, 3540-3546, 2006.
doi:10.1109/TGRS.2006.881124 Google Scholar

21. Van Blaricum, M. L. and R. Mittra, "Problem and solutions associated with Prony's method for processing transient data," IEEE Trans. Antennas Propag., Vol. AP-26, No. 1, 174-182, 1978.
doi:10.1109/TAP.1978.1141804 Google Scholar

22. Hua, Y. and T. K. Sarkar, "Generalized pencil-of-function method for extracting poles for an EM system from its transient response," IEEE Trans. Antennas Propag., Vol. 37, No. 2, 229-234, 1989.
doi:10.1109/8.18710 Google Scholar

23. Michalski, K. A. and J. R. Mosig, "Multilayered media Green's functions in integral equation formulations," IEEE Trans. Antennas Propag., Vol. 45, No. 3, 508-519, 1997.
doi:10.1109/8.558666 Google Scholar

24. Sarkar, T. K. and O. Pereira, "Using the matrix pencil method to estimate the parameters of a sum of complex exponentials," IEEE Antennas Propag. Mag., Vol. 37, No. 2, 48-55, 1995.
doi:10.1109/74.370583 Google Scholar

25. Boix, R. R., F. Mesa, and F. Medina, "Application of total least squares to the derivation of closed-form Green's functions for planar layered media," IEEE Trans. Microw. Theory Tech., Vol. 55, No. 2, 268-280, 2007.
doi:10.1109/TMTT.2006.889336 Google Scholar

26. Boix, R. R.F. L. Mesa, and F. Medina, "Closed-form expressions for layered media Green's functions that are reliable both in the near field and in the far field," Progress In Electromagnetics Research Symposium, Vol. 2, No. 6, 573-575, 2006.

27. Zhuang, L., G. Zhu, Y. Zhang, and B. Xiao, "An improved discrete complex image method for Green's functions in multilayered media," Microw. Opt. Technol. Lett., Vol. 49, No. 6, 1337-1340, 2007.
doi:10.1002/mop.22412 Google Scholar

28. Li, L. and Y. Xie, "Efficient algorithm for analyzing microstrip antennas using fast-multipole algorithm combined with fixed realimage simulated method," Journal of Electromagnetic Waves and Applications, Vol. 20, 2177-2188, 2006.
doi:10.1163/156939306779322521 Google Scholar

29. Slab, E. C., "Green's functions retrieval by crossconvolutions," Progress In Electromagnetics Research Symposium, Vol. 3, No. 5, 736-740, 2007.

Dr. Lei Zhuang

Dr. Yunhua Zhang

Dr. Weidong Hu

Dr. Wenxian Yu

Dr. Guo-Qiang Zhu