A robust method for the computation of Green's functions in stratified media

IEEE Transactions on Antennas and Propagation

Volumn 55, Issue 7, 2007, Pages 1963-1969

  Polimeridis, Athanasios G ^a   Yioultsis, Traianos V ^a   Tsiboukis, Theodoros D ^a  

^a ARISTOTLE UNIVERSITY OF THESSALONIKI   (Greece)

Author keywords

Closed form Green's functions; Discrete complex image method (DCIM); Quasi static terms; Rational function fitting method (RFFM)

Indexed keywords

CLOSED-FORM GREEN'S FUNCTIONS; DISCRETE COMPLEX IMAGE METHOD (DCIM); QUASI-STATIC TERMS; RATIONAL FUNCTION FITTING METHOD (RFFM); STRATIFIED MEDIA;

APPROXIMATION THEORY; COMPUTATIONAL METHODS; ELECTROMAGNETIC WAVES; GREEN'S FUNCTION; NUMERICAL METHODS; SPECTRUM ANALYSIS;

SURFACE WAVES;

EID: 34547103748     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2007.900258     Document Type: Article

References (21)

1. J. R. Mosig, "Arbitrarily shaped microstrip structures and their analysis with a mixed potential integral equation," IEEE Trans. Microwave Theory Tech., vol. 36, pp. 314-323, Feb. 1988.
2. 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, pp. 335-335, Mar. 1990.
3. A. W. Glisson and D. R. Wilton, "Simple and efficient numerical methods for problems of electromagnetic radiation and scattering from surfaces," IEEE Trans. Antennas Propag., vol. AP-28, pp. 593-603, Sep. 1980.
4. R. F. Harrington, Field Computation by Moment Methods. New York: Macmillan, 1968.
5. 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. Microwave Theory Tech., vol. 39, pp. 588-592, Mar. 1991.
6. M. I. Aksun and R. Mittra, "Derivation of closed-form Green's functions for a general microstrip geometry," IEEE Trans. Microwave Theory Tech., vol. 40, pp. 2055-2062, Nov. 1992.
7. 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. Microwave Theory Tech., vol. 50, pp. 2185-2192, Sep. 2002.
8. 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, pp. 229-234, Feb. 1989.
9. M. I. Aksun, "A robust approach for the derivation of closed-form Green's functions," IEEE Trans. Microwave Theory Tech., vol. 44, pp. 651-658, May 1996.
10. 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, pp. 3644-3653, Nov. 2005.
11. A. C. Cangellaris and V. I. Okhmatovski, "New closed-form Green's function in shielded planar layered media," IEEE Trans. Microwave Theory Tech., vol. 48, pp. 2225-2232, Dec. 2000.
12. 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, pp. 1005-1016, Jul. 2002.
13. 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, pp. 1568-1576, May 2006.
14. B. Gustavsen and A. Semlyen, "Rational approximation of frequency domain responses by vector fitting," IEEE Trans. Power Delivery, vol. 14, pp. 1568-1576, Jul. 1999.
15. V. I. Okhmatovski and A. C. Cangellaris, "Evaluation of layered media Green's functions via rational function fitting," IEEE Microw. Compon. Lett., vol. 14, pp. 22-24, Jan. 2004.
16. H. Chen, Z. Shen, and E. Li, "A simple approach to closed-form Green's functions of microstrip structures," Microw. Opt. Technol. Lett., vol. 45, no. 5, pp. 435-438, Jun. 2005.
17. W. C. Chew, Waves and Fields in Inhomogeneous Media, ser. Electromagnetic Waves. New York: IEEE Press, 1995.
18. G. Dural and M. I. Aksun, "Closed-form Green's functions for general sources and stratified media," IEEE Trans. Microwave Theory Tech. vol. 43, pp. 1545-1552, Jul. 1995.
19. I. M. Vrancken, "Full wave integral equation based electromagnetic modelling of 3D metallic structures in planar stratified media," Ph. D. dissertation, Leuven, Belgium, 2002.
20. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products. New York: Academic, 2000.
21. K. A. Michalski, "Extrapolation methods for Sommerfeld integral tails," IEEE Trans. Antennas Propag., vol. 46, pp. 1405-1418, Oct. 1998.