Fast numerical computation of Green's functions for unbounded planar stratified media with a finite-difference technique and Gaussian spectral rules

IEEE Transactions on Microwave Theory and Techniques

Volumn 55, Issue 1, 2007, Pages 100-106

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

^a IEEE   (Greece)

^b ARISTOTLE UNIVERSITY OF THESSALONIKI   (Greece)

Author keywords

Finite difference technique; Gaussian spectral rules; Green's functions; Stratified media

Indexed keywords

GAUSSIAN SPECTRAL RULES; MATRIX SPECTRAL PROBLEM; STRATIFIED MEDIA;

APPROXIMATION THEORY; BOUNDARY CONDITIONS; COMPUTATIONAL COMPLEXITY; FINITE DIFFERENCE METHOD; MATRIX ALGEBRA; PROBLEM SOLVING;

GREEN'S FUNCTION;

EID: 33846620173     PISSN: 00189480     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMTT.2006.886919     Document Type: Article

References (18)

1. J. R. Mosig, T. Itoh, Ed., "Integral equation techniques," in Numerical Techniques for Micivwave and Millimeter-Wave Passive Structures. New York: Wiley. 1998.
2. D. M. Pozar, "A rigorous analysis of a microstrip feed patch antenna," IEEE Trans. Antennas Propag., vol. AP-33, no. 10. pp. 1045-1053. Oct. 1985.
3. D. R. Jackson and N. G. Alexopoulos, "Gain enhancement methods for printed antennas," IEEE Trans. Antennas Propag., vol. AP-33, no. 9, pp. 976-987, Sep. 1985.
4. 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.
5. R. F. Harrington, Field Computation by Moment Methods. New York: Macmillan, 1983.
6. 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.
7. 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.
8. A. C. Cangellaris and V. I. Okhmatovski, "New closed-form Green's function in shielded planar layered media," IEEE Trans. Microw. Theory Tech.. vol. 48, no. 12, pp. 2225-2232, Dec. 2000.
9. V. Druskin and L. Knizhnerman, "Gaussian spectral rules for the three-point second differences: I. A two-point positive definite problem in a semi-infinite domain," SIAM J. Numer. Anal., vol. 37, no. 2, pp. 403-422, 1999.
10. V. Druskin and L. Knizhnerman, "Gaussian spectral rules for second order finite difference schemes," Numer. Algorithms, vol. 25, no. 1, pp. 139-159, 2000.
11. B. Gustavsen and A. Semlyen, "Rational approximation of frequency domain responses by vector fitting," Tech. Rep., 1997, IEEE paper PE-194-PWRD-0-11-1997.
12. S. Asvadurov, V. Druskin, M. N. Guddati, and L. Knizhnerman, "On optimal finite-difference approximation of PML," SIAM J. Numer. Anal., vol. 41, pp. 287-305, 2003.
13. W. C. Chew and W. H. Weedon, "A 3-D perfectly matched medium from modified Maxwell's equations in stretched coordinates," Microw. Opt. Technol. Lett., vol. 7, pp. 599-604, Sep. 1994.
14. W. C. Chew, J. M. Jin, and E. Michielssen, "Complex coordinate stretching as a generalized absorbing boundary condition," Microw. Opt. Technol. Lett., vol. 15, pp. 363-369, Aug. 1997.
15. F. L. Teixeira and W. Chew, "PML-FDTD in cylindrical and spherical grids," Microw. Opt. Technol. Lett., vol. 7, pp. 285-287, Sep. 1997.
16. G. A. Baker and P. Graves-Morris, Padé Approximants. London. U.K.: Addison-Wesley, 1996.
17. B. N. Parlett, The Symmetric Eigenvalue Problem. Philadelphia, PA: SIAM, 1998.
18. S. Paszkowski, Computational Applications of Chebyshev Polynomials and Series. Moscow, Russia: Nauka, 1983.