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2007-08-03
Electromagnetic Wave Propagation through a Slab Waveguide of Uniaxially Anisotropic Dispersive Metamaterial
By
, Vol. 76, 467-475, 2007
Abstract
The characteristics of the guided electromagnetic wave propagation through a slab waveguide of uniaxially anisotropic dispersive metamaterial are investigated. Taking the cold plasma media model with ωmpz < ωmp⊥ < ωep⊥ as an example,the mode classification established in terms of the operating angular frequency ω0 of the slab waveguide. The results indicate that the mode properties are closely dependent on the frequency. When ω2 mpz < ω20 < ω2mp⊥ there are infinite guided modes. It is also found that when ω2em < ω20 < ω2mpz,there may be multiple solutions of the propagating mode with imaginary transverse wave number in a slab waveguide with thickness less than a certain value.
Citation
Song-Hua Liu, Chang-Hong Liang, Wei Ding, Liang Chen, and Wei-Tao Pan, "Electromagnetic Wave Propagation through a Slab Waveguide of Uniaxially Anisotropic Dispersive Metamaterial," , Vol. 76, 467-475, 2007.
doi:10.2528/PIER07071905
References

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

2. Ding, W., L. Chen, and C. H. Liang, "Characteristics of electromagnetic wave propagation in biaxially anisotropic left-handed materials," Progress In Electromagnetics Research, Vol. 70, 37-52, 2007.
doi:10.2528/PIER07011001

3. Chen, L., W. Ding, X. J. Dang, and C. H. Liang, "Coun terpropagating energy-flows in nonlinear left-handed metamaterials," Progress In Electromagnetics Research, Vol. 70, 257-267, 2007.
doi:10.2528/PIER07012502

4. Shelby, R. A., D. R. Smith, and S. Schultz, "Exp erimental verification of a negative index of refraction," Science, Vol. 292, No. 4, 77-79, 2001.
doi:10.1126/science.1058847

5. Pendry, J. B., "Negativ e refraction makes a perfect lens," Phys. Rev. Lett., Vol. 85, No. 18, 3966-3969, 2000.
doi:10.1103/PhysRevLett.85.3966

6. Xu, W., L. W. Li, H. Y. Yao, and T. S. Yeo, "Left-handed material effects on waves modes and resonant frequencies: filled waveguide structures and substrate-loaded patch antennas," J. of Electromagn. Waves and Appl., Vol. 19, 2033-2047, 2005.
doi:10.1163/156939305775570459

7. Grzegorczyk, T. M. and J. A. Kong, "Review of left-handed metamaterials: evolution from theoretical and numerical studies to potential applications," J. of Electromagn. Waves and Appl., Vol. 20, No. 14, 2053-2064, 2006.
doi:10.1163/156939306779322620

8. Ruppin, R., "Surface polaritons of a left-handed medium," Phys. Lett. A, Vol. 277, No. 1, 61-64, 2000.
doi:10.1016/S0375-9601(00)00694-0

9. Michael, W. F., P . J. Bevelacqua, and J. B. Schneider, "Effects of surface waves on the behavior of perfect lenses," Phys. Rev. B, Vol. 66, No. 3, 2002.

10. Darmanyan, S. A., M. Neviere, and A. A. Zakhidov, "Surface modes at the interface of conventional and left-handed media," Optics Communications, Vol. 225, No. 4, 233-240, 2003.
doi:10.1016/j.optcom.2003.07.047

11. Cory, H. and A. Barger, "Surface-w ave propagation along a metamaterial slab," Microwave and Optical Technology Letters, Vol. 38, No. 5, 392-395, 2003.
doi:10.1002/mop.11070

12. Baccarelli, P ., P . Burghignoli, F. Frezza, A. Galli, P . Lampariello, G. Lovat, and S. Paulotto, "F undamental modal properties of surface waves on metamaterial grounded slabs," IEEE Trans. Microwave Theory Tech., Vol. 53, No. 4, 1431-1442, 2005.
doi:10.1109/TMTT.2005.845208

13. Wu, B.-I., T. M. Grzegorczyk, Y. Zhang, and J. A. Kong, "Guided modes with imaginary transverse wave number in a slab waveguide with negative permittivity and permeability," Journal of Applied Physics, Vol. 93, No. 11, 9386-9388, 2003.
doi:10.1063/1.1570501

14. Lu, J., B.-I. Wu, and J. A. Kong, "guided modes with a linearly varying transverse field inside a left-handed dielectric slab," J. of Electromagn. Waves and Appl., Vol. 20, No. 5, 689-697, 2006.
doi:10.1163/156939306776137728

15. Hu, L. and S. T. Chui, "Characteristics of electromagnetic wave propagation in uniaxially anisotropic left-handed materials," Phys. Rev. B, Vol. 66, 2002.

16. Lindell, I. V. and S. Ilvonen, "W aves in a slab of uniaxial BW medium," J. Electromagn. Waves Appl., Vol. 16, No. 3, 303-318, 2002.
doi:10.1163/156939302X01164

17. Cheng, Q. and T. J. Cui, "Guided modes in a planar anisotropic biaxial slab with partially negative permittivity and permeability," Applied Physics Letters, Vol. 87, No. 17, 2005.
doi:10.1063/1.2112194

18. Cheng, Q. and T. J. Cui, "Infinite guided modes in a planar waveguide with a biaxially anisotropic metamaterial," J. Opt. Soc. Am. A, Vol. 23, No. 8, 1989-1993, 2006.
doi:10.1364/JOSAA.23.001989

19. Satomura, Y., M. Matsuhara, and N. Kumagai, "Analysis of electromagnetic-wave modes in anisotropic slab waveguide," IEEE Trans. Microwave Theory Tech., Vol. 22, No. 2, 86-92, 1974.
doi:10.1109/TMTT.1974.1128177

20. Collin, R. E., Field Theory of Guided Waves, McGra w-Hill, New York, 1960.

21. Ziolkowski, R. W., "Sup erluminal transmission of information through an electromagnetic metamaterial," Phys. Rev. E, Vol. 63, No. 4, 2001.
doi:10.1103/PhysRevE.63.046604

22. Cui, T. J. and J. A. Kong, "Time-domain electromagnetic energy in a frequency-dispersive left-handed medium," Phys. Rev. B, Vol. 70, 2004.