Multilayered media green's functions in integral equation formulations

IEEE Transactions on Antennas and Propagation

Volumn 45, Issue 3, 1997, Pages 508-519

  Michalski, Krzysztof A ^a,b   Mosig, Juan R ^a,c  

^a IEEE   (United States)

^b Texas A M University   (United States)

^c EPFL   (Switzerland)

Author keywords

Green's functions; Integral equations; Layered media

Indexed keywords

ELECTRIC CONDUCTORS; ELECTROMAGNETIC FIELD THEORY; INTEGRAL EQUATIONS; MICROSTRIP LINES;

MIXED POTENTIAL INTEGRAL EQUATIONS; MULTILAYERED MEDIA;

GREEN'S FUNCTION;

EID: 0031098726     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/8.558666     Document Type: Article

References (127)

1. A. Karlsson and G. Kristensson, "Electromagnetic scattering from subterranean obstacles in a stratified ground," Radio Sei., vol. 18, pp. 345-356, May/June 1983.
2. P. E. Wannamaker, G. W. Hohmann, and W. A. SanFilipo, "Electromagnetic modeling of three-dimensional bodies in layered earths using integral equations," Geophys., vol. 49, pp. 60-74, Jan. 1984.
3. R. H. Hardman and L. C. Shen, "Theory of induction sonde in dipping beds," Geophys., vol. 51, pp. 800-809, Mar. 1986.
4. L. Tsang, E. Njoku, and J. A. Kong, "Microwave thermal emission from a stratified medium with nonuniform temperature distribution," J. Appl. Phys., vol. 46, pp. 5127-5133, Dec. 1975.
5. J. R. Wait, Wave Propagation Theory. New York: Pergamon, 1981.
6. G. P. S. Cavalcante, D. A. Rogers, and A. J. Giarola, "Analysis of electromagnetic wave propagation in multilayered media using dyadic Green's functions," Radio Sei., vol. 17, pp. 503-508, May/June 1982.
7. W. P. Harokopus and P. B. Katehi, "Radiation losses in microstrip antenna feed networks printed on multilayer substrates," Int. J. Numer. Mod., vol. 4, pp. 3-18, 1991.
8. N. Fache, F. Olyslager, and D. De Zutter, Electromagnetic and Circuit Modeling of Multiconductor Transmission Lines. Oxford: Clarendon, 1993.
9. A. K. Bhattacharyya, Electromagnetic Fields in Multilayered Structures. Boston, MA: Artech House, 1994.
10. E. Arbel and L. B. Felsen, "Theory of radiation from sources in anisotropic media, Part 1: General sources in stratified media," in Electromagnetic Theory and Antennas, Part l, E. C. Jordan, Ed. New York: Macmillan, 1963, pp. 391-420.
11. V. G. Daniele and R. S. Zieh, "Radiation by arbitrary sources in anisotropic stratified media," Radio Sei., vol. 8, pp. 63-70, Jan. 1973.
12. S. M. All and S. F. Mahmoud, "Electromagnetic fields of buried sources in stratified anisotropic media," IEEE Trans. Antennas Propagat., vol. AP-27, pp. 671-678, Sept. 1979.
13. J. K. Lee and J. A. Kong, "Dyadic Green's functions for layered anisotropic medium," Electromagn., vol. 3, pp. 111-130, 1983.
14. T. Sphicopoulos, V. Teodoridis, and F. E. Gardiol, "Dyadic Green function for the electromagnetic field in multilayered Isotropie media: An operator approach," Inst. Elect. Eng. Proc., vol. 132, pt. H, pp. 329-334, Aug. 1985.
15. J. S. Bagby, D. P. Nyquist, and B. C. Drachman, "Integral formulation for analysis of integrated dielectric waveguides," IEEE Trans. Microwave Theory Tech., vol. MTT-33, pp. 906-915, Oct. 1985.
16. D. H. S. Cheng, "On the formulation of the dyadic Green's function in a layered medium," Electromagn., vol. 6, no. 2, pp. 171-182, 1986.
17. C. M. Krowne, "Determination of the Green's function in the spectral domain using a matrix method: Application to radiators immersed in a complex anisotropic layered medium," IEEE Trans. Antennas Propagat., vol. AP-34, pp. 247-253, Feb. 1986.
18. N. K. Das and D. M. Pozar, "A generalized spectral-domain Green's function for multilayer dielectric substrates with application to multilayer transmission lines," IEEE Trans. Microwave Theory Tech., vol. MTT-35, pp. 326-335, Mar. 1987.
19. L. Beyne and D. De Zutter, "Green's function for layered lossy media with special application to microstrip antennas," IEEE Trans. Microwave Theory Tech., vol. 36, pp. 875-881, May 1988.
20. L. Vegni, R. Cicchetti, and P. Capece, "Spectral dyadic Green's function formulation for planar integrated structures," IEEE Trans. Antennas Propagat., vol. 36, pp. 1057-1065, Aug. 1988.
21. R. Kastner, E. Heyman, and A. Sabban, "Spectral domain iterative analysis of single- and double-layered microstrip antennas using the conjugate gradient algorithm," IEEE Trans. Antennas Propagat., vol. 36, pp. 1204-1212, Sept. 1988.
22. E. W. Kolk, N. H. G. Baken, and H. Blök, "Domain integral equation analysis of integrated optical channel and ridge waveguides in stratified media," IEEE Trans. Microwave Theory Tech., vol. 38, pp. 78-85, Jan. 1990.
23. J. F. Kiang, S. M. All, and J. A. Kong, "Integral equation solution to the guidance and leakage properties of coupled dielectric strip waveguides," IEEE Trans. Microwave Theory Tech., vol. 38, pp. 193-203, Feb. 1990.
24. T. M. Habashy, S. M. Ali, J. A. Kong, and M. D. Grossi, "Dyadic Green's functions in a planar, stratified, arbitrarily magnetized linear plasma," Radio Sei, vol. 26, pp. 701-715, May/June 1991.
25. S. M. Ali, T. M. Habashy, and J. A. Kong, "Spectral-domain dyadic Green's function in layered chiral media," J. Opt. Soc. Amer. A, vol. 9, pp. 413-423, Mar. 1992.
26. S. Barkeshli and P. H. Pathak, "On the dyadic Green's function for a planar multilayered dielectric/magnetic media," IEEE Trans. Microwave Theory Tech., vol. 40, pp. 128-142, Jan. 1992.
27. H. J. M. Bastiaansen, N. H. G. Baken, and H. Blök, "Domain-integral analysis of channel waveguides in anisotropic multi-layered media," IEEE Trans. Microwave Theory Tech., vol. 40, pp. 1918-1926, Oct. 1992.
28. S. Barkeshli, "On the electromagnetic dyadic Green's functions for planar multi-layered anisotropic uniaxial material media," Int. J. Infrared Millimeter Waves, vol. 13, no. 4, pp. 507-527, 1992.
29. P. Bernard! and R. Cicchetti, "Dyadic Green's functions for conductorbacked layered structures excited by arbitrary tridimensional sources," IEEE Trans. Microwave Theory Tech., vol. 42, pp. 1474-1483, Aug. 1994.
30. S.-G. Pan and I. Wolff, "Scalarization of dyadic spectral Green's functions and network formalism for three-dimensional full-wave analysis of planar lines and antennas," IEEE Trans. Microwave Theory Tech., vol. 42, pp. 2118-2127, Nov. 1994.
31. A. Dreher, "A new approach to dyadic Green's function in spectral domain," IEEE Trans. Antennas Propagat., vol. 43, pp. 1297-1302, Nov. 1995.
32. R. F. Harrington, Field Computation by Moment Methods. New York:
33. Macmillan, 1968; Melbourne, FL: Krieger, reprint 1982.
34. J. C. Chao, Y. J. Liu, F. J. Rizzo, P. A. Martin, and L. Udpa, "Regularized integral equations for curvilinear boundary elements for electromagnetic wave scattering in three dimensions," IEEE Trans. Antennas Propagat., vol. 43, pp. 1416-1422, Dec. 1995.
35. A. W. Glisson and D. R. Wilton, "Simple and efficient numerical methods for problems of electromagnetic radiation and scattering from surfaces," IEEE Trans. Antennas Propagat., vol. AP-28, pp. 593-603, Sept. 1980.
36. S. M. Rao, D. R. Wilton, and A. W. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE Trans. Antennas Propagat., vol. AP-30, pp. 409-418, May 1982.
37. D. H. Schaubert, D. R. Wilton, and A. W. Glisson, "A tetrahedral modeling method for electromagnetic scattering by arbitrarily shaped inhomogeneous dielectric bodies," IEEE Trans. Antennas Propagat., vol. AP-32, pp. 77-85, Jan. 1984.
38. K. Umashankar, A. Taflove, and S. M. Rao, "Electromagnetic scattering by arbitrary shaped three-dimensional homogeneous lossy dielectric objects," IEEE Trans. Antennas Propagat., vol. AP-34, pp. 758-766, June 1986.
39. 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.
40. "Analytic and numerical techniques in the Green's function treatment of microstrip antennas and scatterers," Inst. Elect. Eng. Proc., vol. 130, pt. H, pp. 175-182, Mar. 1983.
41. "General integral equation formulation for microstrip antennas and scatterers," Inst. Elect. Eng. Proc., vol. 132, pt. H, pp. 424-432, Dec. 1985.
42. K. A. Michalski, "The mixed-potential electric field integral equation for objects in layered media," Arch. Elek. Übertragung., vol. 39, pp. 317-322, SeptVOct. 1985.
43. "On the scalar potential of a point charge associated with a timeharmonic dipole in a layered medium," IEEE Trans. Antennas Propagat., vol. AP-35, pp. 1299-1301, Nov. 1987.
44. R. C. Hall and J. R. Mosig, "The analysis of coaxially fed microstrip antennas with electrically thick substrates," Electromagn., vol. 9, no. 4, pp. 367-384, 1989.
45. J. R. Mosig, "Integral equation technique," in Numerical Techniques for Microwave and Millimeter-Wave Passive Structures, T. Itoh, Ed. New York: Wiley, 1989, pp. 133-213.
46. J. R. Mosig, R. C. Hall, and F. E. Gardiol, "Numerical analysis of microstrip patch antennas," in Handbook of Microstrip Antennas, J. R. James and P. S. Hall, Eds. London: Peregrinus, 1989, pp. 391-453.
47. H. Legay, R. Gillard, J. Citerne, and G. Piton, "Via-hole effects on radiation characteristics of a patch microstrip antenna coaxially fed through the ground plane," Ann. Télécommun., vol. 46, no. 7/8, pp. 367-381, 1991.
48. D. Zheng and K. A. Michalski, "Analysis of arbitrarily shaped coaxfed microstrip antennas-A hybrid mixed-potential integral equation approach," Microwave Opt. Tech. Lett., vol. 3, pp. 200-203, June 1990.
49. G. A. E. Vandenbosch and A. R. Van de Capelle, "Mixed-potential integral expression formulation of the electric field in a stratified dielectric medium-Application to the case of a probe current source," IEEE Trans. Antennas Propagat., vol. 40, pp. 806-817, July 1992.
50. P. Pichon, J. R. Mosig, and A. Papiernik, "Input impedance of arbitrarily shaped microstrip antennas," Electron. Lett., vol. 24, pp. 1214-1215, Sept. 1988.
51. W. Wertgen and R. H. Jansen, "Efficient direct and iterative electrodynamic analysis of geometrically complex MIC and MMIC structures," Int. J. Numer. Mod., vol. 2, pp. 153-186, 1989.
52. L. Barlatey, J. R. Mosig, and T. Sphicopoulos, "Analysis of stacked microstrip patches with a mixed potential integral equation," IEEE Trans. Antennas Propagat., vol. 38, pp. 608-615, May 1990.
53. K.-L. Wu, J. Litva, R. Fralich, and C. Wu, "Full-wave analysis of arbitrarily shaped line-fed microstrip antennas using triangular finiteelement method," Inst. Elect. Eng. Proc., vol. 138,pt. H, pp. 421-4128, Oct. 1991.
54. A. Hoorfar, J. X. Zheng, and D. C. Chang, "Numerical modeling of crossover and other junction discontinuities in two-layer microstrip circuits," Int. J. Microwave Millimeter-Wave Comput.-Aided Eng., vol. 2, no. 4, pp. 261-272, 1992.
55. F. Alonso-Monferrer, A. A. Kishk, and A. W. Glisson, "Green's function analysis of planar circuits in a two-layer grounded medium," IEEE Trans. Antennas Propagat., vol. 40, pp. 690-696, June 1992.
56. L. Barlatey, H. Smith, and J. Mosig, "Printed radiating structures and transitions in multilayered substrates," Int. J. Microwave MillimeterWave Comput.-Aided Eng., vol. 2, no. 4, pp. 273-285, 1992.
57. T. K. Sarkar, P. Midya, Z. A. Maricevic, M. Kahrizi, S. M. Rao, and A. R. Djordjevic, "Analysis of arbitrarily shaped microstrip patch antennas using the Sommerfeld formulation," Int. J. Microwave Millimeter-Wave Comput.-Aided Eng., vol. 2, no. 3, pp. 168-178, 1992.
58. R. D. Cloux, G. P. J. F. M. Maas, and A. J. H. Wächters, "Quasistatic boundary element method for electromagnetic simulation of PCBS," Philips J. Res., vol. 48, no. 1/2, pp. 117-144, 1994.
59. J. Sercu, N. Fache, F. Libbrecht, and P. Lagasse, "Mixed potential integral equation technique for hybrid microstrip-slotline multilayered circuits using a mixed rectangular-triangular mesh," IEEE Trans. Microwave Theory Tech., vol. 43, pp. 1162-1172, May 1995.
60. L. Giauffret and J.-M. Laheurte, "Theoretical and experimental characterization of CPW-fed microstrip antennas," Inst. Elect. Eng Proc. Microwave Antennas Propagat., vol. 143, pp. 13-17, Feb. 1996.
61. K. A. Michalski and D. Zheng, "Electromagnetic scattering and radiation by surfaces of arbitrary shape in layered media, Part I: Theory," IEEE Trans. Antennas Propagat., vol. 38, pp. 335-344, Mar. 1990.
62. "Electromagnetic scattering and radiation by surfaces of arbitrary shape in layered media, Part II: Implementation and results for contiguous half-spaces," IEEE Trans. Antennas Propagat., vol. 38, pp. 345-352, Mar. 1990.
63. W. A. Johnson, "Analysis of vertical, tubular cylinder which penetrates an air-dielectric interface and which is excited by an azimuthally symmetric source," Radio Sei, vol. 18, pp. 1273-1281, Nov./Dec. 1983.
64. K. A. Michalski, C. E. Smith, and C. M. Butler, "Analysis of a horizontal two-element array antenna above a dielectric halfspace," Inst. Elect. Eng. Proc., vol. 132, pt. H, pp. 335-338, Aug. 1985.
65. S. Singh and D. R. Wilton, "Analysis of an infinite periodic array of slot radiators with dielectric loading," IEEE Trans. Antennas Propagat., vol. 39, pp. 190-196, Feb. 1991.
66. K. A. Michalski and D. Zheng, "Rigorous analysis of open microstrip lines of arbitrary cross section in bound and leaky regimes," IEEE Trans. Microwave Theory Tech., vol. 37, pp. 2005-2010, Dec. 1989.
67. 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.
68. K. A. Michalski and D. Zheng, "Analysis of microstrip resonators of arbitrary shape," IEEE Trans. Antennas Propagat., vol. 40, pp. 112-119, Jan. 1992.
69. N. J. Champagne, J. T. Williams, and D. R. Wilton, "Analysis of resistively loaded, printed spiral antennas," Electromagn., vol. 14, pp. 363-395, July/Dec. 1994.
70. N. W. Montgomery and D. R. Wilton, "Analysis of arbitrary conducting periodic structures embedded in layered media," in Dig. IEEE AP-S Int. Symp., London, ON, Canada, June 1991, pp. 1889-1892.
71. D. R. Wilton, "Review of current status and trends in the use of integral equations in computational electromagnetics," Electromagn., vol. 12, pp. 287-341, July/Dec. 1992.
72. J. Chen, A. A. Kishk, and A. W. Glisson, "MPIE for conducting sheets penetrating a multilayer medium," in Dig. IEEE AP-S Int. Symp., Seattle, WA, June 1994, pp. 1346-1349.
73. K. A. Michalski, "Mixed-potential integral equation (MPIE) formulation for nonplanar microstrip structures of arbitrary shape in multilayered uniaxial media," Int. J. Microwave Millimeter-Wave Comput.-Aided Eng., vol. 3, no. 4, pp. 420-431, 1993.
74. "Formulation of mixed-potential integral equations for arbitrarily shaped microstrip structures with uniaxial substrates," J. Electromagn. Waves Applicat., vol. 7, no. 7, pp. 899-917, 1993.
75. S. Vitebskiy and L. Carin, "Moment method modeling of short-pulse scattering from and the resonances of a wire buried inside a lossy, dispersive half-space," IEEE Trans. Antennas Propagat., vol. 43, pp. 1303-1312, Nov. 1995.
76. A. Abdelmageed, K. A. Michalski, and A. W. Glisson, "Analysis of EM scattering by conducting bodies of revolution in layered media using the discrete complex image method," in Dig. IEEE AP-S Int. Symp., Newport Beach, CA, June 1995, pp. 402-406.
77. S. Vitebskiy, K. Sturgess, and L. Carin, "Short-pulse plane-wave scattering from buried perfectly conducting bodies of revolution," IEEE Trans. Antennas Propagat., vol. 44, pp. 143-151, Feb. 1996.
78. L. B. Felsen and N. Marcuvitz, Radiation and Scattering of Waves. Englewood Cliffs, NJ: Prentice Hall, 1973.
79. N. G. Alexopoulos, "Integrated-circuit structures on anisotropic substrates," IEEE Trans. Microwave Theory Tech., vol. MTT-33, pp. 847-881, Oct. 1985.
80. D. M. Pozar, "Radiation and scattering from a microstrip patch on a uniaxial substrate," IEEE Trans. Antennas Propagat., vol. AP-35, pp. 613-621, June 1987.
81. Z. Xiong, Y. Luo, S. Wang, and G. Wu, "Induced-polarization and electromagnetic modeling of a three-dimensional body buried in a twolayer anisotropic earth," Geophys., vol. 51, pp. 2235-2246, Dec. 1986.
82. R. F. Harrington, Time-Harmonic Electromagnetic Field. New York: McGraw-Hill, 1961.
83. "Boundary integral formulations for homogeneous material bodies,"/ Electromagn. WavesApplicaL, vol. 3, no. 1, pp. 1-15, 1989.
84. K. H. Lee, D. F. Pridmore, and H. F. Morrison, "A hybrid threedimensional electromagnetic modeling scheme," Geophys., vol. 46, pp. 796-805, May 1981.
85. J. Wu and K. A. Michalski, "Hybrid finite element-mixed-potential integral equation-discrete complex image approach for inhomogeneous waveguides in layered media," in Dig. IEEE AP-S Int. Symp., Newport Beach, CA, June 1995, pp. 1472-1475.
86. T. F. Eibert and V. Hansen, "FEM/BEM-hybrid approach for layered media," in Dig. IEEE AP-S Int. Symp., Newport Beach, CA, June 1995, pp. 1464-1467.
87. "3-D FEM/BEM-hybrid approach for planar layered media," Electromagn., to be published.
88. X.-B. Xu and W. Yan, "Modification of hybrid integral equations for determining scattering by an inhomogeneous cylinder of discontinuous electromagnetic parameters near a media interface," J. Electromagn. Waves ApplicaL, vol. 7, no. 10, pp. 1389-1394, 1993.
89. A. A. Sebak and L. Shafai, "Performance of various integral equation formulations for numerical solution of scattering by impedance objects," Can. J. Phys., vol. 62, pp. 605-615, 1984.
90. A. W. Glisson, "Electromagnetic scattering by arbitrarily shaped surfaces with impedance boundary conditions," Radio Sei., vol. 27, pp. 935-943, NovVDec. 1992.
91. I. P. Theron and J. H. Cloete, "On the surface impedance used to model the conductor losses of microstrip structures," Inst. Elect. Eng. Proc. Microwave Antennas Propagat., vol. 142, pp. 35-410, Feb. 1995.
92. R. F. Harrington, "The method of moments in electromagnetics," J. Electromagn. Waves Appticat., vol. 1, no. 3, pp. 181-200, 1987.
93. C. M. Butler, Y. Rahmat-Samii, and R. Mittra, "Electromagnetic penetration through apertures in conducting surfaces," IEEE Trans. Antennas Propagat., vol. AP-26, pp. 82-93, Jan. 1978.
94. W. A. Johnson, D. R. Wilton, and R. M. Sharpe, "Modeling scattering from and radiation by arbitrarily shaped objects with the electric field integral equation triangular surface patch code," Electromagn., vol. 10, no. 1/2, pp. 41-63, 1990.
95. T. Itoh, "Spectral-domain immittance approach for dispersion characteristics of generalized printed transmission lines," IEEE Trans. Microwave Theory Tech., vol. MTT-28, pp. 733-736, July 1980.
96. W. C. Chew and Q. Liu, "Resonance frequency of a rectangular microstrip patch," IEEE Trans. Antennas Propagat., vol. 36, pp. 1045-1056, Aug. 1988.
97. T.-S. Horng, N. G. Alexopoulos, S.-C. Wu, and H.-Y. Yang, "Fullwave spectral analysis for open microstrip discontinuities of arbitrary shape including radiation and surface-wave losses," Int. J. Microwave Millimeter-Wave Comput.-Aided Eng., vol. 2, no. 4, pp. 224-240, 1992.
98. T. Becks and I. Wolff, "Analysis of 3-D metallization structures by a full-wave spectral domain technique," IEEE Trans. Microwave Theory Tech., vol. 40, pp. 2219-2227, Dec. 1992.
99. K. A. Michalski and D. Zheng, "Analysis of planar microstrip structures of arbitrary shape-To be, or not to be in the spectral domain?," in Proc. Symp. Antennas Tech. Appticat. Electromagn., Winnipeg, Canada, Aug. 1990, pp. 240-245.
100. A. Sommerfeld, Partial Differential Equations in Physics. New York: Academic, 1949.
101. C.-I. G. Hsu, R. F. Harrington, K. A. Michalski, and D. Zheng, "Analysis of a multiconductor transmission lines of arbitrary cross-section in multilayered uniaxial media," IEEE Trans. Microwave Theory Tech., vol. 41, pp. 70-78, Jan. 1993.
102. W. C. Chew, Waves and Fields in Inhomogeneous Media. New York: Van Nostrand Reinhold, 1990.
103. G. J. Burke, E. K. Miller, J. N. Brittingham, D. L. Lager, R. J. Lytle, and J. T. Okada, "Computer modeling of antennas near the ground," Electromagn., vol. 1, pp. 29-419, Jan./Mar. 1981.
104. K. A. Michalski, "On the efficient evaluation of integrals arising in the Sommerfeld halfspace problem," in Moment Methods in Antennas and Scatterers, R. C. Hansen, Ed. Boston, MA: Artech House, 1990, pp. 325-331.
105. E. H. Newman and D. Forrai, "Scattering from a microstrip patch," IEEE Trans. Antennas Propagat., vol. AP-35, pp. 245-251, Mar. 1987.
106. L. T. Hildebrand and D. A. McNamara, "A guide to implementation aspects of the spatial-domain integral equation analysis of microstrip antennas," Appl. Comput. Electromagn. Soc. J., vol. 10, no. 1, pp. 40-51, 1995.
107. A. D. Chave, "Numerical integration of related Hankel transforms by quadrature and continued fraction expansion," Geophys., vol. 48, pp. 1671-1686, Dec. 1983.
108. D. G. Fang, J. J. Yang, and G. Y. Delisle, "Discrete image theory for horizontal electric dipoles in a multilayered medium," Inst. Elect. Eng. Proc., vol. 135, pt. H, pp. 297-303, Oct. 1988.
109. 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.
110. 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.
111. R. A. Kipp and C. H. Chan, "Complex image method for sources in bounded regions of multilayer structures," IEEE Trans. Microwave Theory Tech., vol. 42, pp. 860-865, May 1994.
112. G. Durai and M. I. Aksun, "Closed-form Green's functions for general sources in stratified media," IEEE Trans. Microwave Theory Tech., vol. 43, pp. 1545-1552, July 1995.
113. 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.
114. K. A. Michalski and J. R. Mosig, "Discrete complex image mixedpotential integral equation analysis of coax-fed coupled vertical monopoles in a grounded dielectric substrate: Two formulations," Inst. Elect. Eng. Proc. Microwave Antennas Propagat., vol. 142, pp. 269-274, June 1995.
115. T. K. Sarkar and O. Pereira, "Using the matrix pencil method to estimate the parameters of a sum of complex exponentials," IEEE Antennas Propagat. Mag., vol. 37, pp. 48-55, Feb. 1995.
116. K. A. Michalski and J. R. Mosig, "Discrete complex image mixedpotential integral equation analysis of microstrip patch antennas with vertical probe feeds," Electromagn., vol. 15, pp. 377-392, July/Aug. 1995.
117. L.-W. Li, P.-S. Kooi, M.-S. Leong, T.-S. Yeo, and S.-L. Ho, "Input impedance of probe-excited semi-infinite rectangular waveguide with arbitrary multilayered loads: Part I-Dyadic Green's functions," IEEE Trans. Microwave Theory Tech., vol. 43, pp. 1559-1566, July 1995.
118. A. Hill, J. Burke, and K. Kottapalli, "Three-dimensional electromagnetic analysis of shielded microstrip circuits," Int. J. Microwave MillimeterWave Comput.-Aided Eng., vol. 2, no. 4, pp. 286-296, 1992.
119. R. W. Jackson, "The use of side images to compute package effects in MoM analysis of MMIC circuits," IEEE Trans. Microwave Theory Tech., vol. 41, pp. 406-414, Mar. 1993.
120. A. Papoulis, The Fourier Integral and Its Applications. New York: McGraw-Hill, 1962.
121. M.-H. Ho, K. A. Michalski, and K. Chang, "Waveguide excited microstrip patch antenna-Theory and experiment," IEEE Trans. Antennas Propagat., vol. 42, pp. 1114-1125, Aug. 1994.
122. K. E. Jordan, G. R. Richter, and P. Sheng, "An efficient numerical evaluation of the Green's function for the Helmholtz operator on periodic structures," J. Comp. Phys., vol. 63, pp. 222-235, 1986.
123. E. Cohen, "Critical distance for grating lobe series," IEEE Trans. Antennas Propagat., vol. 39, pp. 677-679, May 1991.
124. S. Singh, W. F. Richards, J. R. Zinecker, and D. R. Wilton, "Accelerating the convergence of series representing the free space periodic Green's function," IEEE Trans. Antennas Propagat., vol. 38, pp. 1958-1962, Dec. 1990.
125. R. M. Shubair and Y. L. Chow, "Efficient computation of the periodic Green's function in layered media," IEEE Trans. Microwave Theory Tech., vol. 41, pp. 498-502, Mar. 1993.
126. J. Xu, "Fast convergent dyadic Green's function in a rectangular waveguide," Int. J. Infrared Millimeter Waves, vol. 14, no. 9, pp. 1789-1800, 1993.
127. G. V. Eleftheriades, J. R. Mosig, and M. Gugliemi, "A fast integral equation technique for shielded planar circuits defined on nonuniform meshes," IEEE Trans. Microwave Theory Tech., to be published.