Singularity subtraction for evaluation of Green's functions for multilayer media

IEEE Transactions on Microwave Theory and Techniques

Volumn 54, Issue 1, 2006, Pages 216-224

  Şimsşek, Ergün ^a,b,c   Liu, Qing Huo ^a,b,c,d,e,f   Wei, Baojun ^b  

^a IEEE   (United States)

^b Duke University   (United States)

^c DUKE UNIVERSITY   (United States)

^d Department of Electrical and Computer Engineering ^*  (United States)

^e ACOUSTICAL SOCIETY OF AMERICA   (United States)

^f US National Committee   (United States)

Author keywords

Green's functions; Layered media

Indexed keywords

ELECTRIC SOURCE; LAYERED MEDIA; MAGNETIC SOURCES;

MICROWAVES; MULTILAYERS;

GREEN'S FUNCTION;

EID: 31044456530     PISSN: 00189480     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMTT.2005.860304     Document Type: Conference Paper

References (39)

1. K. A. Michalski and D. Zheng, "Electromagnetic scattering and radiation by surfaces of arbitrary shape in layered media: Part II: Implementation and results for contiguous half-spaces," IEEE Trans. Antennas Propag., vol. 38, no. 3, pp. 345-352, Mar. 1990.
2. T. J. Cui and W. C. Chew, "Fast evaluation of Sommerfeld integrals for EM scattering and radiation by three-dimensional buried objects," IEEE Trans. Geosci. Remote Sens., vol. 37, no. 3, pp. 887-900, Mar. 1999.
3. N. Geng and L. Carin, "Wide-band electromagnetic scattering from a dielectric BOR buried in a layered lossy dispersive medium," IEEE Trans. Antennas Propag., vol. 47, no. 4, pp. 610-619, Apr. 1999.
4. J. R. Mosig, "Arbitrarily shaped microstrip structures and their analysis with a mixed potential integral equation," IEEE Trans. Microw. Theory Tech., vol. 36, no. 2, pp. 314-323, Feb. 1988.
5. D. Zheng and K. A. Michalski, "Analysis of coaxially fed microstrip antennas of arbitrary shape with thick substrates," J. Electromagn. Waves Applicat., vol. 5, no. 12, pp. 1303-1327, 1991.
6. J. M. Jin, J. Liu, and F. Ling, "Efficient electromagnetic modeling of 3-D multilayer microstrip antennas and circuits," IEEE Trans. Microw. Theory Tech., vol. 50, no. 6, pp. 1628-1635, Jun. 2002.
7. A. Sommerfeld, Partial Differential Equations in Physics. New York: Academic, 1949.
8. J. R. Mosig and F. E. Gardiol, "Analytic and numerical techniques in the Green's function treatment of microstrip antennas and scatterers," Proc. Inst. Elect. Eng., pt. H, vol. 130, pp. 175-182, Mar. 1983.
9. _, "General integral equation formulation for microstrip antennas and scatterers," Proc. Inst. Elect. Eng., pt. H, vol. 132, pp. 424-432, Dec. 1985.
10. N. K. Das and D. M. Pozar, "A generalized spectral-domain Green's function for the multilayer dielectric substrates with application to multilayer transmission lines," IEEE Trans. Microw. Theory Tech., vol. MTT-35, no. 3, pp. 326-335, Mar. 1987.
11. M. Paulus, P. Gay-Balmaz, and O. J. F. Martin, "Accurate and efficient computation of the Green's tensor for stratified media," Phys. Rev., vol. 62, no. 4, pp. 5797-5807, Oct. 2000.
12. J. Zhao, S. Kapur, D. E. Long, and W. W. M. Dai, "Efficient three-dimensional extraction based on static and full wave layered Green's functions," presented at the Proc. 35th Design Automation Conf., Jun. 1998.
13. L. Tsang, C. Ong, C. C. Huang, and V. Jandhyala, "Evaluation of the Green's function for the mixed potential integral equation (MPIE) method in the time domain for layered media," IEEE Trans. Antennas Propag., vol. 51, no. 7, pp. 1559-1571, Jul. 2003.
14. W. Cai and T. Yu, "Fast calculations of dyadic Green's functions for electromagnetic scattering in a multilayer medium," J. Comput. Phys., vol. 165, pp. 1-21, 2000.
15. I. V. Lindell and E. Alanen, "Exact image theory for the Sommerfeld half space problem - Part 1: Vertical magnetic dipole," IEEE Trans. Antennas Propag., vol. AP-32, no. 2, pp. 126-132, Feb. 1984.
16. _, "Exact image theory for the Sommerfeld half space problem-Part 2: Vertical electric dipole," IEEE Trans. Antennas Propag., vol. AP-32, no. 10, pp. 841-849, Oct. 1984.
17. D. G. Fang, J. J. Yang, and G. Y. Delisle, "Discrete image theory for horizontal electric dipoles in a multilayered medium," Proc. Inst. Elect. Eng., pt. H, vol. 135, pp. 297-303, Oct. 1988.
18. Y. L. Chow, J. J. Yang, D. G. Fang, and G. E. Howard, "A closed-form spatial Green's function for the thick substrate," IEEE Trans. Microw. Theory Tech., vol. 39, no. 3, pp. 588-592, Mar. 1991.
19. M. I. Aksun and R. Mittra, "Derivation of closed-form Green's functions for a general microstrip geometry," IEEE Trans. Microw. Theory Tech., vol. 40, no. 11, pp. 2055-2062, Nov. 1992.
20. R. A. Kipp, C. H. Chan, A. T. Yang, and J. T. Yao, "Simulation of high frequency integrated circuits incorporating full wave analysis of microstrip discontinuities," IEEE Trans. Microw. Theory Tech., vol. 41, no. 5, pp. 848-854, May 1993.
21. R. A. Kipp and C. H. Chan, "Complex image method for sources in bounded regions of multilayer structures," IEEE Trans. Microw. Theory Tech., vol. 42, no. 5, pp. 860-865, May 1994.
22. G. Dural and M. I. Aksun, "Closed-form Green's functions for general sources in stratified media," IEEE Trans. Microw. Theory Tech., vol. 43, no. 7, pp. 1545-1552, Jul. 1995.
23. M. I. Aksun, "A robust approach for the derivation of the closed-form Green's functions," IEEE Trans. Microw. Theory Tech., vol. 44, no. 5, pp. 651-658, May 1996.
24. N. Hojjat, S. Safavi-Naeini, and Y. L. Chow, "Numerical computation of complex image Green's functions for multilayer dielectric media: Near field zone and the interface region," Proc. Inst. Elect. Eng.-Microwave Antennas Propag., vol. 145, no. 6, pp. 449-454, Dec. 1998.
25. N. Hojjat, S. Safavi-Naeini, R. F. Dana, and Y. L. Chow, "Fast computation of the nonsymmetrical components of the Green's functions for multilayer dielectric media using complex images," Proc. Inst. Elect. Eng.-Microwave Antennas Propag., vol. 145, no. 6, pp. 285-289, Aug. 1998.
26. F. Ling, "Fast electromagnetic modeling of multilayer microstrip antennas and circuits," Ph.D. dissertation, Dept. Elect. Comput. Eng., Univ. Illinois at Urbana-Champaign, Urbana, IL, 2000.
27. A. A. K. Mohsen and A. K. Abdelmageed, "An efficient evaluation of the nonsymmetrical components of the Green's function for multilayered media," Microwave Opt. Technol. Lett., vol. 28, no. 3, pp. 199-202, 2001.
28. Y. Liu, L. W. Li, T. Yeo, and M. S. Leong, "Application of DCIM to MPIE-MoM analysis of 3-D PEC objects in multilayered media," IEEE Trans. Antennas Propag., vol. 50, no. 2, pp. 157-162, Feb. 2002.
29. K. P. Eselle and Y. Ge, "New closed-form Green's functions for microstrip structures-Theory and results," IEEE Trans. Microw. Theory Tech., vol. 50, no. 6, pp. 1556-1560, Jun. 2002.
30. K. A. Michalski and D. Zheng, "Electromagnetic scattering and radiation by surfaces of arbitrary shape in layered media: Part I: Theory, " IEEE Trans. Antennas Propag., vol. 38, no. 3, pp. 335-344, Mar. 1990.
31. _, "Electromagnetic scattering and radiation by surfaces of arbitrary shape in layered media: Part II: Implementation and results for contiguous half-spaces," IEEE Trans. Antennas Propag., vol. 38, no. 3, pp. 355-352, Mar. 1990.
32. _, "Analysis of microstrip resonators of arbitrary shape," IEEE Trans. Microw. Theory Tech., vol. 10, no. 1, pp. 112-119, Jan. 1992.
33. K. A. Michalski and J. R. Mosig, "Multilayered media Green's functions in integral equation formulations," IEEE Trans. Antennas Propag., vol. 45, no. 3, pp. 508-519, Mar. 1997.
34. P. Yla-Oijala, M. Taskinen, and J. Sarvas, "Multilayered media Green's functions for MPIE with general electric and magnetic sources by the Hertz potential approach," Progr. Electromagn. Res., vol. 33, pp. 141-165, 2001.
35. W. C. Chew, Waves and Fields in Inhomogeneous Media. Piscataway, NJ: IEEE Press, 1995.
36. E. Simsek and Q. H. Liu, "Fast computation of dyadic Green's function for layered media and its application in interconnect simulations," in IEEE AP-S Symp., vol. 3, Jun. 2004, p. 2783.
37. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products. New York: Academic, 1965.
38. X. Millard and Q. H. Liu, "A fast volume integral equation solver for electromagnetic scattering from large inhomogeneous objects in planarly layered media," IEEE Trans. Antennas Propag., vol. 51, no. 9, pp. 2393-2401, Sep. 2003.
39. F. Li, Q. H. Liu, and L.-P. Song, "Three-dimensional reconstruction of objects buried in layered media using Born and distorted Born iterative methods," IEEE Geosci. Remote Sens. Lett., vol. 1, no. 2, pp. 107-111, Feb. 2004.