volume | PIER Journals

2009-02-03

Far Field Radiation from an Arbitrarily Oriented Hertzian Dipole in an Unbounded Electricaly Gyrotropic Medium

Abdullah Eroglu,

Prof. Abdullah Eroglu

Department of Engineering

Indiana University --- Purdue University

USA

Homepage

Jay Kyoon Lee

Dr. Jay Kyoon Lee

Department of Electrical Engineering and Computer Science

Syracuse University

USA

Homepage

Progress In Electromagnetics Research, Vol. 89, 291-310, 2009

doi:10.2528/PIER08122202 | Google Scholar

Abstract

The solution to the problem of far field radiation from an arbitrarily oriented Hertzian dipole in an electrically gyrotropic medium is found with the application of dyadic Green's function (DGF) technique. The form of the DGF, which is expressed as the sum of two single dyads, simplifies the derivation of the far fields significantly in comparison to the existing methods. The far field integral is evaluated analytically using the method of steepest descent. The numerical results for the radiation fields are presented in different frequency bandwidth using Clemmow-Mually-Allis (CMA) diagram. It is shown that the operational frequency bandwidth and the orientation of the antenna, which give the highest directivity and gain, can be determined when the CMA diagram is employed. Our analytical results are compared with the existing ones which were obtained using different techniques. Agreement is observed on all of them. The results presented in this paper can be used for radiation problems involving space exploration, radio astronomy or laboratory plasmas.

Download Full Article (518) View Full Article volume

Citation

Copy Export

Abdullah Eroglu, and Jay Kyoon Lee, "Far Field Radiation from an Arbitrarily Oriented Hertzian Dipole in an Unbounded Electricaly Gyrotropic Medium," Progress In Electromagnetics Research, Vol. 89, 291-310, 2009.
doi:10.2528/PIER08122202

References

1. Bunkin, F. V., "On radiation in anisotropic media," Sov. Phys. JETP, Engl. Transl., Vol. 5, 277-295, September 1957. Google Scholar

2. Wu, C. P., "Radiation from dipoles in an magneto-ionic medium," IEEE Tran. Antennas Propag., Vol. 11, 681-689, November 1963.
doi:10.1109/TAP.1963.1138103 Google Scholar

3. Felsen, L. B. and N. Marcuvitz, Radiation and Scattering of Waves, Prentice Hall, 1973.

4. Clemmow, P. C., The Plane Wave Spectrum Representation of Electromagnetic Fields, Reissued Ed., Chapter VIII, IEEE Press, 1996.

5. Alpert, Y. A. and B. S. Moiseyev, "On the distribution of the field electromagnetic waves emitted by a dipole in a homogeneous magnetoactive plasma ," J. Atmos. Terr. Phys., Vol. 42, 521-528, 1980.
doi:10.1016/0021-9169(80)90061-6 Google Scholar

6. Tai, C. T., Dyadic Green’s Functions in Electromagnetic Theory, IEEE Press, 1994.

7. Eroglu, A. and J. K. Lee, "Dyadic Green's functions for an electrically gyrotropic medium ," Progress In Electromagnetics Research, Vol. 58, 223-241, 2006.
doi:10.2528/PIER05070203 Google Scholar

8. Eroglu, A. and J. K. Lee, "Wave propagation and dispersion characteristics for a non-reciprocal electrically gyrotropic medium," Progress In Electromagnetics Research, Vol. 62, 237-260, 2006.
doi:10.2528/PIER06040901 Google Scholar

9. Bender, C. M. and S. A. Orszag, Advanced Mathematical Methods for Scientists and Engineers, 280-302, McGraw-Hill, 1978.

10. Kong, J. A., Theory of Electromagnetic Waves, Vol. 1, 59–62, 205–212, Wiley, 1975.

11. Chew, W. C., Waves and Fields in Inhomogeneous Media, IEEE Press, 1995.

12. Courant , R. and D. Hilbert, Methods of Mathematical Physics, Vol. 1, Second Printing, Chapter VII, Interscience Publishers, 1955.

13. Abramowitz, M. and I. Stegun, Handbook of Mathematical Functions, Chapter 9, 361, Dover Publications, 1965.