volume | PIER Journals

Abstract

The dyadic Green's function for an unbounded anisotropic medium is treated analytically in the Fourier domain. The Green's function, which is expressed as a triple Fourier integral, can be next reduced to a double integral by performing the integration over the longitudinal Fourier variable or the transverse Fourier variable. The singular behavior of Green's dyadic is discussed for the general anisotropic case.

1. Chen, H. C., Theory of Electromagnetic Waves, McGraw-Hill, New York, 1983.

2. Weiglhofer, W. S., "Dyadic Green’s function for general uniaxial media," Proc. IEE, Vol. 137H, 5-10, Jan. 1990. Google Scholar

3. Kaklamani, D. I. and N. K. Uzunoglu, "Radiation of a dipole in an infinite triaxial anisotropic medium," Electromag., Vol. 12, 231-245, 1992.
doi:10.1080/02726349208908313 Google Scholar

4. Cottis, P. G. and G. D. Kondylis, "Properties of the dyadic Green’s function for an unbounded anisotropic medium," IEEE Trans. Antennas Propagat., Vol. 43, 154-161, Feb. 1995.
doi:10.1109/8.366377 Google Scholar

5. Li, K., "Radiation of a magnetic dipole in an infinite anisotropic plasma medium," Chin. Phys. Lett., Vol. 15, 898-900, Dec. 1998.
doi:10.1088/0256-307X/15/12/014 Google Scholar

6. Cottis, P. G. and G. D. Kondylis, "Green’s function for an unbounded biaxial medium in cylindrical coordinates," IEEE Trans. Antennas Propagat., Vol. 47, 195-199, Jan. 1999.
doi:10.1109/8.753010 Google Scholar

7. Bladel, J. V., "Some remarks on Green’s dyadic for infinite space," IRE Trans. Antennas Propagat., Vol. 9, 563-566, Nov. 1961.
doi:10.1109/TAP.1961.1145064 Google Scholar

8. Fikioris, J. G., "Electromagnetic field inside a current-carrying region," J. Math. Phys., Vol. 6, 1617-1620, 1965.
doi:10.1063/1.1704702 Google Scholar

9. Yaghjian, A. D., "Electric dyadic Green’s functions in the source regions," Proc. IEE, Vol. 68, 248-263, Feb. 1980.
doi:10.1109/PROC.1980.11620 Google Scholar

10. Lee, S. W., J. Boersma, C. L. Law, and G. A. Deschamps, "Singularity in Green’s functions and its numerical evaluation," IEEE Trans. Antennas Propagat., Vol. 28, 311-317, May 1980.
doi:10.1109/TAP.1980.1142342 Google Scholar

11. Asvestas, J. S., "Comments on ‘Singularity in Green’s functions and its numerical evaluation’," IEEE Trans. Antennas Propagat., Vol. 31, 174-177, May 1983.
doi:10.1109/TAP.1983.1143005 Google Scholar

12. Pathak, P. H., "On the eigenfunction expansion of electromagnetic dyadic Green’s functions," IEEE Trans. Antennas Propagat., Vol. 31, 837-846, Nov. 1983.
doi:10.1109/TAP.1983.1143151 Google Scholar

13. Chew, W. C., "Some observations on the spatial and eigenfunction representations of dyadic Green’s functions," IEEE Trans. Antennas Propagat., Vol. 37, 1322-1327, Oct. 1989.
doi:10.1109/8.43544 Google Scholar

14. Zemanian, A. H., Distribution Theory and Transform Analysis, Dover, New York, 1987.

15. Jakoby, B. and F. Olyslager, "Quasi-static asymptotics of Green dyadics for general bianisotropic media," Arch. Elektron. Ubertragungstech., Vol. 50, 189-195, 1996. Google Scholar

16. Weiglhofer, W. S. and A. Lakhtakia, "On singularities of dyadic Green’s function and long wavelength scattering," Electromagn., Vol. 15, 209-222, 1995.
doi:10.1080/02726349508908415 Google Scholar

Dr. K. Li

Dr. S.-O. Park

Dr. Wei-Yan Pan