volume | PIER Journals

Abstract

The electromagnetic field produced by a horizontal electric dipole over a double negative (DNG) medium half space is discussed, and the analytical expressions of the field which are convenient for calculation are derived. It can be concluded that the dipole on the configuration composed of the double positive (DPS) medium and the DNG medium half space can effectively excite the surface wave. The propagation wave number of the surface wave is less than that in both of the mediums, so that this kind of surface wave is a slow wave. Considered both the mediums are lossless, the amplitude of the surface wave decreases with the radial distance as ρ^{1/2^{. The total field shows complicated interference because of the superposition of three kinds of wave modes.}}

1. Veselago, V. G., "The electrodynamics of substances with simultaneously negative values of ε and μ," Sov. Phys. Usp., Vol. 10, No. 4, 509-514, 1968.
doi:10.1070/PU1968v010n04ABEH003699

2. Shelby, A., D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science, Vol. 292, No. 5514, 77-79, 2001.
doi:10.1126/science.1058847

3. Simovski, C. R. and B. Sauviac, "Toward creating isotropic microwave composites with negative refraction," Radio Sci., Vol. 39, No. 2, Rs2014.1-Rs2014.18, 2004.
doi:10.1029/2003RS002898

4. Caloz, C., A. Sanada, and T. Itoh, "Microwave applications of transmission line based negative refraction index structures," 2003 Asia Pacific Microwave Conference, 2003.

5. Grbic, A. and G. V. Eleftheriades, "Subwavelength focusing using a negative-refractive-index transmission line lens," IEEE Antennas and Wireless Propagation Letters, Vol. 2, 186-189, 2003.

6. Baccarelli, P., P. Burghignoli, and S. Paulotto, "Surfacewave suppression in a double-negative metamaterial grounded slab," IEEE Antennas and Wireless Propagation Letters, Vol. 2, 269-272, 2003.
doi:10.1109/LAWP.2003.819679

7. Thomas, J. R. and A. Ishimaru, "Wave packet incident on negative-index media," IEEE Transactions on Antennas and Propagation, Vol. 53, No. 3, 1591-1599, 2005.
doi:10.1109/TAP.2005.846454

8. Ishimaru, A., J. R. Thomas, and S. Jaruwatanadilok, "Electromagnetic waves over half-space metamaterials of arbitrary permittivity and permeability ," IEEE Transactions on Antennas and Propagation, Vol. 53, No. 3, 915-921, 2005.
doi:10.1109/TAP.2004.842572

9. Sommerfeld, A., "Propagation of waves in wireless telgraphy," Ann. Phys., Vol. 28, 665-736, 1909.
doi:10.1002/andp.19093330402

10. Sommerfeld, A., "Propagation of waves in wireless telgraphy," Ann. Phys., Vol. 81, 1135-1153, 1926.
doi:10.1002/andp.19263862516

11. Wait, J. R., Electromagnetic Wave in Stratified Media, Pergamon Press, London, 1962.

12. Banos, A. J., Dipole Radiation in the Presence of a Conducting Half-space, Pergamon press, Oxford, 1966.

13. King, R. W. P., "New formulas for the electromagnetic field of a vertical electric dipole in a dielectric or conducting half-space near its horizontal interface," J. Appl. Phys., Vol. 53, 8476-8482, Dec. 1982.
doi:10.1063/1.330496

14. Wu, T. T., King, and R. W. P., "Lateral waves: A new formula and interference pattern," Radio Sci., Vol. 17, No. 3, 521-531, 1982.
doi:10.1029/RS017i003p00521

15. Wu, T. T. and R. W. P. King, "Lateral waves: New formulas for E1φ and E1z," Radio Sci., Vol. 17, No. 3, 532-538, 1982.
doi:10.1029/RS017i003p00532

16. King, R.W. P. and T. T. Wu, "Lateral waves: New formulas for the magnetic field," J. Appl. Phys., Vol. 54, No. 2, 507-514, 1983.
doi:10.1063/1.332102

17. King, R. W. P. and M. F. Brown, "Lateral electromagnetic waves along plane boundaries: A summarizing approach," Proc. IEEE, Vol. 72, No. 5, 595-611, 1984.
doi:10.1109/PROC.1984.12898

18. King, R. W. P., "Electromagnetic surface waves: New formulas and applications," IEEE Trans. Antennas Propag., Vol. 33, No. 11, 1204-1212, 1985.
doi:10.1109/TAP.1985.1143504

19. King, R. W. P., O. Margaret, and T. T. Wu, Lateral Electromagnetic Wave, Springer-verlag Press, 1992.

20. Wu, T. T. and R. W. P. King, "Lateral electromagnetic pulses generated by a vertical electric dipole on the boundary between two dielectric," J. Appl. Phys., Vol. 62, 4345-4355, Dec. 1987.
doi:10.1063/1.339067

21. King, R. W. P., "Lateral electromagnetic pulses generated by a vertical electric dipole on a plane boundary between dielectric ," J. Electro. Waves Appl., Vol. 2, No. 3-4, 225-243, 1988.
doi:10.1163/156939388X00206

22. King, R. W. P., "Lateral electromagnetic pulses generated on a plane boundary between dielectrics by vertical and horizontal dipole source with Gaussian pulse excitation," J. Electro. Waves Appl., Vol. 2, 589-597, 1989.

23. Li, K., Y. L. Lu, and M. H. Li, "Approximate formulas for lateral electromagnetic pulses from a horizontal dipole on the surface of one-dimensionally anisotropic medium," IEEE Trans. Antennas Propag., Vol. 53, No. 3, 933-937, 2005.
doi:10.1109/TAP.2004.842604

24. Zhu, X. Q., W. Y. Pan, and B. R. Guan, "The electromagnetic field produced by a vertical electric dipole on a negative-index media half space ," Chinese Journal of Radio Science, Vol. 21, No. 2, 177-183, 2006.

Dr. Xiuqin Zhu

Dr. Wei-Yan Pan

Dr. Bo-Ran Guan