Closed-form Green's functions in planar layered media for all ranges and materials

IEEE Transactions on Microwave Theory and Techniques

Volumn 58, Issue 3, 2010, Pages 602-613

  Alparslan, Aytaĉ ^a   Aksun, M I ^b   Michalski, Krzysztof A ^c  

^a ETH ZURICH   (Switzerland)

^b KOÇ UNIVERSITY   (Turkey)

^c TEXAS A AND M UNIVERSITY   (United States)

Author keywords

Closed form Green?s functions; Discrete complex images method (DCIM); Green?s functions; Layered media

Indexed keywords

CLOSED FORM; CLOSED FORM APPROXIMATIONS; CLOSED-FORM GREEN'S FUNCTIONS; COMPUTATIONALLY EFFICIENT; CYLINDRICAL WAVE; DISCRETE COMPLEX IMAGE METHOD; DISCRETE COMPLEX IMAGES METHOD; EXPONENTIAL FITTING METHODS; LATERAL WAVES; LAYERED MEDIA; LINEAR COMBINATIONS; MULTI-LAYERED MEDIA; PLANAR LAYERED MEDIA; RATIONAL FUNCTION; S FUNCTION; SPATIAL DOMAINS; SPATIAL-DOMAIN GREEN'S FUNCTION; SPECTRAL DOMAINS; SPECTRAL-DOMAIN; THREE-LEVEL; TWO-LEVEL APPROACH;

APPROXIMATION ALGORITHMS; EXPONENTIAL FUNCTIONS; FUNCTION EVALUATION; RATIONAL FUNCTIONS; STRAIN MEASUREMENT; SURFACE WAVES;

GREEN'S FUNCTION;

EID: 77949542137     PISSN: 00189480     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMTT.2010.2040354     Document Type: Article

References (39)

1. 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.
2. L. Alatan, M. I. Aksun, K. Mahadevan, and T. Birand, "Analytical evaluation of the MoM matrix elements," IEEE Trans. Microw. Theory Tech., vol.44, no.4, pp. 519-525, Apr. 1996.
3. M. J. Tsai, F. D. Flavis, O. Fordharn, and N. G. Alexopoulos, "Modeling planar arbitrarily shaped microstrip elements in multilayered media," IEEE Trans. Microw. Theory Tech., vol.45, no.3, pp. 330-337, Mar. 1997.
4. M. R. Abdul-Gaffoor, H. K. Smith, A. A. Kishk, and A. W. Glisson, "Simple and efficient full-wave modeling of electromagnetic coupling in realistic RF multilayer PCB layouts," IEEE Trans. Microw. Theory Tech., vol.50, no.6, pp. 1445-1457, Jun. 2002.
5. N. Kinayman and M. I. Aksun, Modern Microwave Circuits. Norwood, MA: Artech House, 2005.
6. T. Onal, M. I. Aksun, and N. Kinayman, "A rigorous and efficient analysis of 3-D printed circuits: Vertical conductors arbitrarily distributed in multilayer environment," IEEE Trans. Antennas Propag., vol.55, no.12, pp. 3726-3729, Dec. 2007.
7. W. C. Chew, Waves and Fields in Inhomogeneous Media. New York: Van Nostrand, 1990.
8. K. A. Michalski, "Extrapolation methods for sommerfeld integral tails," IEEE Trans. Antennas Propag., vol.46, no.10, pp. 1405-1418, Oct. 1998.
9. J. R. Mosig and F. E. Gardiol, "A dynamical radiation model for microstrip structures," in Advances in Electronics and Electron Physics, P. W. Hawkes, Ed. New York: Academic, 1982, vol.59, pp. 139-237.
10. N. Kinayman and M. I. Aksun, "Comparative study of acceleration techniques for integrals and series in electromagnetic problems," Radio Sci., vol.30, pp. 1713-1722, Nov.-Dec. 1995.
11. D. C. Fang, J. J. Yang, and G. Y. Delisle, "Discrete image theory for horizontal electric dipoles in a multilayered medium," Proc. IEEE, vol.135, no.5, pp. 297-303, May 1988.
12. Y. L. Chow, J. J. Yang, D. G. Fang, and G. E. Howard, "A closed-form spatial Green's function for the thick microstrip substrate," IEEE Trans. Microw. Theory Tech., vol.39, no.3, pp. 588-592, Mar. 1991.
13. 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.
14. G. Dural and M. I. Aksun, "Closed-form Green's functions for general sources and stratified media," IEEE Trans. Microw. Theory Tech., vol.43, no.7, pp. 1545-1552, Jul. 1995.
15. M. I. Aksun, "A robust approach for the derivation of closed-form Green's functions," IEEE Trans. Microw. Theory Tech., vol.44, no.5, pp. 651-658, May 1996.
16. C. Tokgoz and G. Dural, "Closed-form Green's functions for cylindrically stratified media," IEEE Trans. Microw. Theory Tech., vol.48, no.1, pp. 40-49, Jan. 2000.
17. Y. Ge and K. P. Esselle, "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.
18. N. V. Shuley, R. R. Boix, F. Medina, and M. Horno, "On the fast approximation of Green's functions in MPIE formulations for planar layered media," IEEE Trans. Microw. Theory Tech., vol.50, no.9, pp. 2185-2192, Sep. 2002.
19. V. I. Okhmatovski and A. C. Cangellaris, "A new technique for the derivation of closed-form electromagnetic Green's functions for unbounded planar layered media," IEEE Trans. Antennas Propag., vol.50, no.7, pp. 1005-1016, Jul. 2002.
20. V. I. Okhmatovski and A. C. Cangellaris, "Evaluation of layered media Green's functions via rational function fitting," IEEE Microw.Wireless Compon. Lett., vol.14, no.1, pp. 22-24, Jan. 2004.
21. M. I. Aksun and G. Dural, "Clarification of issues on the closed-form Green's functions in stratified media," IEEE Trans. Antennas Propag., vol.53, no.11, pp. 3644-3653, Nov. 2005.
22. M. Yuan, T. K. Sarkar, and M. Salazar-Palma, "A direct discrete complex image method from the closed-form Green's functions in multilayered media," IEEE Trans. Microw. Theory Tech., vol.54, no.3, pp. 1025-1032, Mar. 2006.
23. V. N. Kourkoulos and A. C. Cangellaris, "Accurate approximation of Green's functions in planar stratified media in terms of a finite sum of spherical and cylindrical waves," IEEE Trans. Antennas Propag., vol.54, no.5, pp. 1568-1576, May 2006.
24. L. Zhuang, 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, pp. 1337-1340, 2007.
25. R. R. Boix, 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, pp. 268-280, Feb. 2007.
26. A. G. Polimeridis, T. V. Yioultsis, and T. D. Tsiboukis, "A robust method for the computation of Green's functions in stratified media," IEEE Trans. Antennas Propag., vol.55, no.7, pp. 1963-1969, Jul. 2007.
27. F. Mesa, R. R. Boix, and F. Medina, "Closed-form expressions of multilayered planar Green's functions that account for the continuous spectrum in the far field," IEEE Trans. Microw. Theory Tech., vol.56, no.7, pp. 1601-1614, Jul. 2008.
28. R. W. Hamming, Numerical Methods for Scientists and Engineers. New York: Dover, 1973.
29. Y. Hua and T. K. Sarkar, "Generalized pencil-of-function method for extracting poles of an EM system from its transient response," IEEE Trans. Antennas Propag., vol.37, no.2, pp. 229-234, Feb. 1989.
30. 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.
31. N. Felsen and L. B. Marcuvitz, Radiation and Scattering of Waves. New York: Wiley, 1994.
32. H. Cory and A. Barger, "Surface-wave propagation along a metamaterial slab," Microw. Opt. Technol. Lett., vol.38, no.5, pp. 392-395, Sep. 2003.
33. B.-I.Wu, T.M. Grzegorczyk, J. Zhang, and J. A. Kong, "Guided modes with imaginary transverse wave number in a slab waveguide with negative permittivity and permeability," J. Appl. Phys., vol.93, no.11, pp. 9386-9388, 2003.
34. J. Lu, M. Grzegorczyk, B.-I.Wu, J. Pacheco, M. Chen, and J. A. Kong, "Effect of poles on subwavelength focusing by an LHM slab," Microw. Opt. Technol. Lett., vol.45, no.1, pp. 49-53, Apr. 2005.
35. P. Baccarelli, P. Burghignoli, F. Frezza, A. Galli, P. Lampariello, G. Lovat, and S. Paulotto, "Fundamental modal properties of surface waves on metamaterial grounded slabs," IEEE Trans. Microw. Theory Tech., vol.53, no.4, pp. 1431-1442, Apr. 2005.
36. T. Onal, M. I. Aksun, and N. Kinayman, "An efficient full-wave simulation algorithm for multiple vertical conductors in printed circuits," IEEE Trans. Microw. Theory Tech., vol.54, no.10, pp. 3739-3745, Oct. 2006.
37. W. C. Chew, "Sommerfeld integrals for left-handed materials," Microw. Opt. Technol. Lett., vol.42, no.5, pp. 369-373, 2004.
38. J. Q. Bagley, B.Wu, and L. Tsang, "Electromagnetic fields of Hertzian dipoles in layered negative refractive index materials," IEEE Antennas Wireless Propag. Lett., vol.7, pp. 749-752, 2008.
39. W. Shu and J. Song, "Sommerfeld integration path for double negative metamaterials," in IEEE AP-S Int. Symp., Jul. 2008, pp. 1-4.