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Abstract

This paper presents a novel eigenfunction expansion of the electric-type dyadic Green's function for an unbounded gyrotropic medium in terms of the cylindrical vector wave functions. The unbounded Green dyadics are formulated based on the Ohm-Rayleigh method, orthogonalityof the vector wave functions, and the newly formulated curl and divergence of dyadic identities. The irrotational part of the Green's function is obtained from the residual theorem. Unlike some of the published work where some assumptions are made prior to the formulation, the irrotational dyadic Green's function in this paper is formulated rigorouslybased on the idea given by Tai.

1. Tai, C. T., Dyadic Green's Functions in Electromagnetic Theory, IEEE Press, 1994.

2. Kong, J. A., Electromagnetic Wave Theory, 3rd ed., 1990.

3. Chew, W. C., Waves and Fields in Inhomogeneous Media, Van Nostrand Reinhold, 1990.

4. Kong "J. A. Electromagnetic field due to dipole antennas over stratified anisotropic medium," Geophysics, Vol. 37, 985-996, 1972.
doi:10.1190/1.1440321 Google Scholar

5. Ali, S. M. and S. F. Mahmoud, "Electromagnetic fields of buried sources in stratified anisotropic media," IEEE Trans. Antennas Propagat., Vol. AP-27, 671-678, 1979.
doi:10.1109/TAP.1979.1142161 Google Scholar

6. Lee, J. K. and J. A. Kong, "Dyadic Green's functions for layered anisotropic medium," Electromagnetics, Vol. 3, 111-130, 1983. Google Scholar

7. Ren, W., "Contributions to the electromagnetic wave theory of bounded homogeneous anisotropic media," Physical Rev. E, Vol. 47, No. 1, 664-673, 1993.
doi:10.1103/PhysRevE.47.664 Google Scholar

8. Li, L. W., M. S. Leong, T. S. Yeo, and P. S. Kooi, "Comments on 'Eigenfunction expansion of the dyadic Green's function in a gyroelectric chiral medium by cylindrical vector wave functions'," Physical Review E, Vol. 59, No. 3, 3767-3771, 1999.
doi:10.1103/PhysRevE.59.3767 Google Scholar

9. Li, L. W., S. B. Yeap, M. S. Leong, T. S. Yeo, and P. S. Kooi, "Dyadic Green's functions in planarly-multilayered gyroelectric chiral media," Progress In Electromagnetics Research, Vol. 35, 53-81, 2001.
doi:10.2528/PIER01042401 Google Scholar

10. Li, L. W., S. B. Yeap, M. S. Leong, T. S. Yeo, and P. S. Kooi, "Dyadic Green's functions in cylindrically-multilayered gyroelectric chiral media," Submitted to Progress In Electromagnetics Research, No. 12, 2002. Google Scholar

11. Lindell, I. V., "Decomposition of electromagnetic sources in axiallyc hiral uniaxial anisotropic media," Journal of Electromagnetic Waves and Applications, Vol. 10, No. 1, 51-59, 1996. Google Scholar

12. Krowne, C. M., "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, 247-253, 1986.
doi:10.1109/TAP.1986.1143794 Google Scholar