An efficient application of the discrete complex image method for quasi-3-D microwave circuits in layered media

IEEE Transactions on Microwave Theory and Techniques

Volumn 55, Issue 8, 2007, Pages 1723-1729

  Tang, Wee Hua ^a,b   Gedney, Stephen D ^a,c  

^a IEEE

^b MOTOROLA INC   (United States)

^c UNIVERSITY OF KENTUCKY   (United States)

Author keywords

Discrete complex image method (DCIM); Layered Green's function; Method of moments (MoM); Mixed potential integral equation

Indexed keywords

COMPUTATIONAL METHODS; GREEN'S FUNCTION; INTEGRAL EQUATIONS; METHOD OF MOMENTS; ROBUST CONTROL; THREE DIMENSIONAL;

DISCRETE COMPLEX IMAGE METHOD (DCIM); LAYERED GREEN'S FUNCTION; MIXED POTENTIAL INTEGRAL EQUATION;

MICROWAVE CIRCUITS;

EID: 34547990236     PISSN: 00189480     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMTT.2007.901608     Document Type: Article

References (29)

1. A. Taflove, Advances in Computational Electrodynamics: The Finite-Difference Time-Domain. Norwood, MA: Artech House, 1998.
2. D. E. Livesay and K. M. Chen, "Electromagnetic fields induced inside arbitrary shaped biology bodies," IEEE Trans. Microw. Theory Tech., vol. MTT-22, no. 12, pp. 1273-1280, Dec. 1974.
3. C. Christopoulous, The Transmission-Line Modeling Method. New York: IEEE Press, 1995.
4. R. F. Harrington, Field Computation by Moment Methods. New York: Macmillan, 1968.
5. K. A. Michalski and D. L. Zheng, "Electromagnetic scattering and radiation by surfaces of arbitrary shape in layered media. II. Implementation and results for contiguous half-space," IEEE Trans. Antennas Propag., vol. 38, no. 3, pp. 345-352, Mar. 1990.
6. K. A. Michalski and D. L. Zheng, "Electromagnetic scattering and radiation by surfaces of arbitrary shape in layered media. I. Theory," IEEE Trans. Antennas Propag., vol. 38, no. 3, pp. 335-344, Mar. 1990.
7. 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.
8. P. Gay-Balmazand and J. R. Mosig, "Three-dimensional planar radiating structures in stratified media," Int. J. Microw. Millim.-Wave Comput-Aided Eng., vol. 7, pp. 330-343, Sep. 1997.
9. F. Ling and J.-M. Jin, "Full-wave analysis of multilayer microstrip problems," in Fast and Efficient Algorithms in Computational Electromagnetics, J. M. J. W. C. Chew, E. Michielssen, and J. Song, Eds. Boston, MA: Artech House, 2001, pp. 729-780.
10. J. D. G. Fang, J. Yang, and G. Y. Delisle, "Discrete image theory for horizontal electric dipole in a multilayer medium," Proc. Inst. Elect. Eng., vol. 135, pp. 297-303, Oct. 1988.
11. Y. L. Chow, J. J. Yang, D. G. Fang, and G. E. Delisle, "A closed-form spatial Green's function for die thick microstrip substrate," IEEE Trans. Microw. Theory Tech., vol. 39, no. 3, pp. 588-592, Mar. 1991.
12. 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.
13. N. Kinayman and M. I. Aksun, "Efficient use of closed-form Green's functions for the analysis of planar geometries with vertical connections," IEEE Trans. Microw. Theory Tech., vol. 45, no. 5, pp. 593-603, May 1997.
14. M. Vrancken and G. A. E. Vandenbosch, "Hybrid dyadic-mixed-potential and combined spectral-space domain integral-equation analysis of quasi-3-D structures in stratified media," IEEE Trans. Microw. Theory Tech., vol. 51, no. 1, pp. 216-225, Jan. 2003.
15. 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.
16. 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.
17. R. D. Graglia, D. R. Wilton, and A. F. Peterson, "Higher- orderinterpolatory vector bases for computational electromagnetics," IEEE Trans. Antennas Propag., vol. 45, no. 3, pp. 329-342, Mar. 1997.
18. A. F. Peterson, S. L. Ray, and R. Mittra, Computational Methods for Electmmagnetics. Piscataway, NJ: IEEE Press, 1998.
19. W. C. Chew, J. S. Zhao, and T. J. Cui, "The layered medium Green's function - A new look," Microw. Opt. Technol. Lett., vol. 31, no. 4, pp. 252-255, Nov. 2001.
20. W. C. Chew, Waves and Fields in Homogeneous Media. Piscataway, NJ: IEEE Press, 1995.
21. J. Ma, V. Rokhlin, and S. Wandzura, "Generalized Gaussian quadrature rules for systems of arbitrary functions," J. Numer. Anal., vol. 33, no. 3, pp. 971-996, 1996.
22. W. H. Tang, "Efficient integral equation method for 2.5D microwave circuits in layered media," Ph.D. dissertation, Dept. Elect. Eng., Univ. Kentucky, Lexington, KY, 2005.
23. F. Ling and J. M. Jin, "Discrete complex image method for Green's functions of general multilayer media," IEEE Microw. Guided Wave Lett., vol. 10, no. 10, pp. 400-402, Oct. 2000.
24. T. C. Cui and W. C. Chew, "Fast evaluation of Sommerfeld integrals for EM scattering and radiation by three-dimensional buried objects," IEEE Geosci. Remote Sens., vol. 37, no. 3, pp. 887-900, Mar. 1999.
25. P. P. Silvester and R. L. Ferrari, Finite Elements for Electrical Engineers. Cambridge, U.K.: Cambridge Univ. Press, 1986.
26. M. A. Khayat and D. R. Wilton, "Numerical evaluation of singular and near-singular potential integrals," IEEE Trans. Antennas Propag., vol. 53, no. 10, pp. 3180-3190, Oct. 2005.
27. W.-H. Tang and S. D. Gedney, "An efficient evaluation of near singular surface integrals via the Khayat-Wilton transform," Microw. Opt. Technol. Lett, vol. 48, no. 8, pp. 1583-1586, Aug. 2006.
28. K. A. Michalski, "Extrapolation methods for Sommerfeld integral tails," IEEE Trans. Antennas Propag., vol. 46, no. 10, pp. 1405-1418, Oct. 1998.
29. IE3D: 3D Full-Wave Electromagnetic Simulation and Optimization Package, ver. 9.3, Zeland Softw. Inc., Fremont, CA, 2003.