Electromagnetic Dyadic green's functions for multilayered spheroidal structures - I: Formulation

IEEE Transactions on Microwave Theory and Techniques

Volumn 49, Issue 3, 2001, Pages 532-541

  Li, Le Wei ^a,b   Kang, Xiao Kang ^a,b   Leong, Mook Seng ^a,b   Kooi, Pang Shyan ^a,b   Yeo, Tat Soon ^a,b  

^a IEEE   (Singapore)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Antenna radiation; Dyadic Green's function; Electromagnetic wave theory; Spheroidal wave functions; Stratified media

Indexed keywords

DYADIC GREEN'S FUNCTIONS (DGF); MULTILAYERED SPHEROIDAL STRUCTURES;

EIGENVALUES AND EIGENFUNCTIONS; ELECTROMAGNETIC FIELD THEORY; ELECTROMAGNETIC WAVE SCATTERING; GREEN'S FUNCTION; MATRIX ALGEBRA; MULTILAYERS; SCATTERING PARAMETERS; VECTORS; WAVE EQUATIONS;

ANTENNAS;

EID: 0035274608     PISSN: 00189480     EISSN: None     Source Type: Journal    
DOI: 10.1109/22.910558     Document Type: Article

References (50)

1. S. Asano and G. Yamamoto, "Light scattering by a spheroidal particle," Appl. Opt., vol. 14, pp. 29-49, 1975.
2. B. P. Sinha and R. H. MacPhie, "Electromagnetic scattering by prolate spheroids for plane waves with arbitrary polarization and angle of incidence," Radio Sci., vol. 12, pp. 171-184, 1977.
3. M. F. R. Cooray and I. R. Ciric, "Scattering of electromagnetic waves by a system of two dielectric spheroids of arbitrary orientation," IEEE Trans. Antennas Propagat., vol. 39, pp. 680-684, May 1991.
4. S. Nag and B. P. Sinha, "Electromagnetic plane wave scattering by a system of two uniformly lossy dielectric prolate spheroids in arbitrary orientation," IEEE Trans. Antennas Propagt., vol. 43, pp. 322-327, Mar. 1995.
5. N. K. Uzunoglu and E. A. Angelikas, "Field distributions in a three-layer prolate spheroidal human body model for a loop antenna irradiation," IEEE Trans. Antenna Propagat., vol. AP-35, pp. 1180-1185, Oct. 1987.
6. C. T. Tai, Dyadic Green's Functions in Electromagnetic Theory, 2nd ed. Piscataway, NJ: IEEE Press, 1994.
7. W. C. Chew, Waves and Fields in Inhomogeneous Media. New York: Van Nostrand, 1990.
8. J. K. Lee and J. A. Kong, "Dyadic Green's functions for layered anisotropic medium," Electromagn., vol. 3, pp. 111-130, 1983.
9. T. Sphicopoulos,V. Teodoridis, and F. E. Gardiol, "Dyadic Green's function for the electromagnetic field in multilayered isotropic media: An operator approach," Proc. Inst. Elect. Eng., pt. H, vol. 132, pp. 325-334, 1985.
10. 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, Nov. 1987.
11. 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.
12. D. P. Nyquist and B. Kzadri, "Construction of dyadic Green's functions for the EM field in planar layered media using wave matrices for the electric hertz potential," in Proc. European Microwave Conf., vol. 1, Stuttgart, Germany, Sept. 1991, pp. 848-853.
13. 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. MTT-42, pp. 2118-2127, Nov. 1994.
14. A. Dreher, "A new approach to dyadic Green's function in spectral domain," IEEE Trans. Antennas Propagat., vol. 43, pp. 1297-1302, Nov. 1995.
15. F. L. Mesa, R. Marqus, and M. Horno, "A general algorithm for computing the bidimensional spectral Green's dyad in multilayered complex bianisotropic media: The equivalent boundary method," IEEE Trans. Microwave Theory Tech., vol. MTT-39, pp. 1640-1649, Sept. 1991.
16. 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, Opt. Image Sci., vol. 9, no. 3, pp. 413-423, Mar. 1992.
17. L.-W. Li, P.-S. Kooi, M.-S. Leong, and T.-S. Yeo, "On the eigenfunction expansion of dyadic Green's function in planarly stratified media," J. Electromagn. Waves Applicat., vol. 8, no. 6, pp. 663-678, June 1994.
18. P. Bernardi 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.
19. S. Barkeshli, "On the electromagnetic dyadic Green's functions for planar multi-layered anisotropic uniaxial media," Int. J. Infrared Millimeter Waves, vol. 13, no. 4, pp. 507-527, 1992.
20. -, "Eigenvalues and eigenvectors of gyroelectric media," IEEE Trans. Antennas Propagat., vol. 40, pp. 340-344, Mar. 1992.
21. -, "Electromagnetic dyadic Green's function for multilayered symmetric gyroelectric media," Radio Sci., vol. 28, no. 1, pp. 23-36, Jan.-Feb. 1993.
22. T. M. Habashy, S. M. Ali, J. Kong, and M. D. Grossi, "Dyadic Green's functions in a planar stratified, arbitrarily magnetized linear plasma," Radio Sci., vol. 26, no. 3, pp. 701-715, May-Jun. 1991.
23. P. H. Pathak, "On the eigenfunction expansion of the electric and magnetic field dyadic Green's functions," IEEE Trans. Antennas Propagat., vol. AP-31, pp. 837-846, Nov. 1983.
24. G. P. S. Cavalcante, D. A. Rogers, and A. J. Giardola, "Analysis of the electromagnetic wave propagation in multilayered media using dyadic Green's function," Radio Sci., vol. 17, pp. 503-508, 1982.
25. N. Engheta and S. Bassiri, "One- and two-dimensional dyadic Green's functions in chiral media," IEEE Trans. Antennas Propagat., vol. 37, pp. 512-515, Apr. 1989.
26. A. W. Glisson and G. P. Junker, "Comparison of the dyadic Green's function approach and the mixed potential approach for the solution of surface integral equations," IEEE Trans. Magn., vol. 25, pp. 3049-3051, July 1989.
27. C. M. Krowne, "Relationships for Green's function spectral dyadics involving anisotropic imperfect conductors imbedded in layered anisotropic media," IEEE Trans. Antennas Propagat., vol. 37, pp. 1207-1211, Sept. 1989.
28. A. Lakhtakia, "Dyadic Green's functions for an isotropic chiral halfspace bounded by a perfectly conducting plane," Int. J. Electron., vol. 71, no. 1, pp. 139-144, July 1991.
29. A. Toscano and L. Vegni, "Spectral dyadic Green's function formulation for planar integrated structures with a grounded chiral slab," J. Electromagn. Waves Applicat., vol. 6, pp. 751-769, 1992.
30. W. S. Weiglhofer, "Dyadic Green's functions for general uniaxial media," Proc. Inst. Elect. Eng., pt. H, vol. 137, pp. 5-10, Feb. 1990.
31. -, "Analytic method and free-space dyadic Green's functions," Radio Sci., vol. 28, no. 5, pp. 847-857, 1993.
32. W. Yin andW.Wang, "Dyadic Green's function of cylindrical multilayered chiral media and its applications," J. Electromagn.Waves Applicat., vol. 7, no. 7, pp. 1005-1027, 1993.
33. L.-W. Li, P.-S. Kooi, M.-S. Leong, and T.-S. Yeo, "Analytic representation of scattering dyadic Green's functions'coefficients for cylindrically multilayered chiral media," J. Electromagn. Waves Applicat., vol. 9, no. 9, pp. 1207-1221, September 1995.
34. R. E. Collin, "Dyadic Green's function expansions in spherical coordinates," Electromagn., vol. 6, pp. 183-207, 1986.
35. S. Bassiri, N. Engheta, and C. H. Papas, "Dyadic Green's function and dipole radiation in chiral media," Altareq., vol. 55, pp. 83-88, 1986.
36. L.-W. Li, P.-S. Kooi, M.-S. Leong, and T.-S. Yeo, "Electromagnetic dyadic Green's function in spherically multilayered media," IEEE Trans. Microwave Theory Tech., pt. A, vol. 42, pp. 2302-2310, Dec. 1994.
37. -, "A general expression of dyadic Green's function in radially multilayered chiral media," IEEE Trans. Antennas Propagat., vol. 43, pp. 232-238, Mar. 1995.
38. A. J. Giarola, "Dyadic Green's functions in the prolate spheroidal coordinate system," in IEEE AP-S Int. Symp. Dig., vol. 2, Newport Beach, CA, 1995, pp. 826-829.
39. L.-W. Li, M.-S. Leong, P.-S. Kooi, T.-S. Yeo, and X. Ma, "On the spheroidal vector eigenfunction expansion of dyadic Green's functions for a spheroid," in Proc. Asia-Pacific Microwave Conf., vol. 2nd of 2, Taejon, Korea, Oct. 10-13, 1995, pp. 524-527.
40. C. Flammer, Spheroidal Wave Functions. Stanford, CA: Stanford Univ. Press, 1957.
41. R. E. Collin, Field Theory of Guided Waves, 2nd ed. Piscataway, NJ: IEEE Press, 1991.
42. P. Moon and D. E. Spencer, Field Theory Handbook, 3rd ed. Berlin, Germany: Springer-Verlag, 1988.
43. W. A. Johnson, A. Q. Howard, and D. G. Dudley, "On the irrotational component of the electric Green's dyadic," Radio Sci., vol. 14, no. 6, pp. 961-967, Nov.-Dec. 1979.
44. C. T. Tai, Dyadic Green's Functions in Electromagnetic Theory. Scranton, PA: Intext Educational, 1971.
45. L.-W. Li, M.-S. Leong, P.-S. Kooi, and T.-S. Yeo, "Spheroidal vector eigenfunction expansion of dyadic Green's functions for a dielectric spheroid," IEEE Trans. Antennas Propagat., to be published.
46. X. K. Kang, L.-W. Li, M.-S. Leong, and P.-S. Kooi, "A spheroidal vector wave function analysis of field and SAR distributions in a dielectric prolate spheroidal human head model," in Progress in Electromagnetics Research. Cambridge, MA: EMW, 1999, vol. 22.
47. -, "A spheroidal vector wave function analysis of field and SAR distributions in a dielectric prolate spheroidal human head model (Abstract)," J. Electromagn. Waves Applicat., vol. 13, no. 5, pp. 651-653, May 1999.
48. L.-W. Li, M.-S. Leong, T.-S. Yeo, P.-S. Kooi, and K. Y. Tan, "Computations of spheroidal harmonics with complex argument: A review with an algorithm," Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., vol. 58, no. 5, pp. 6792-6806, Nov. 1998.
49. J. D. Walton, Ed., Radome Engineering Handbook: Design and Principles. New York: Marcel Dekker, 1970.
50. J. A. Morrison and M. J. Cross, "Scattering of a plane electromagnetic wave by axisymmetric raindrops," Bell Syst. Tech. J., vol. 53, pp. 955-1019, 1974.