Vol. 115

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Negative Refraction in an Anisotropic Metamaterial with a Rotation Angle Between the Principal Axis and the Planar Interface

By Song-Hua Liu and Li-Xin Guo
Progress In Electromagnetics Research, Vol. 115, 243-257, 2011


The propagation characteristics of electromagnetic waves at the interface between an isotropic regular medium and an anisotropic metamaterial for arbitrary orientation of principal axis are investigated. In terms of the different sign combinations of the tensor components along principal axes, the anisotropic media are divided into four classes. The existence conditions of negative refraction are discussed in different cases, indicating that the conditions for the existence of negative refraction are closely dependent on the principal components and the rotation angle. Furthermore, the influence of the rotation of the principal axes on the incident angle region is analyzed for each case, and the optimal material parameters are attained for the maximum area of the incident angle region of negative refraction occurrence.


Song-Hua Liu and Li-Xin Guo, "Negative Refraction in an Anisotropic Metamaterial with a Rotation Angle Between the Principal Axis and the Planar Interface," Progress In Electromagnetics Research, Vol. 115, 243-257, 2011.


    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.

    2. Duan, Z. Y., B.-I. Wu, S. Xi, H. S. Chen, and M. Chen, "Research progress in reversed cherenkov radiation in double-negative metamaterials," Progress In Electromagnetics Research, Vol. 90, 75-87, 2009.

    3. Kuo, C. W., S. Y. Chen, Y. D. Wu, and M. H. Chen, "Analyzing the multilayer optical planar waveguides with double-negative metamaterial," Progress In Electromagnetics Research, Vol. 110, 163-178, 2010.

    4. Shelby, R. A., D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science, Vol. 292, 77-79, 2001.

    5. Pendry, J. B., "Negative refraction makes a perfect lens," Phys. Rev. Lett., Vol. 85, No. 18, 3966-3969, 2000.

    6. Fang, N., H. S. Lee, C. Sun, and X. Zhang, "Sub-diffraction-limited optical imaging with a silver superlens," Science, Vol. 308, 534-537, 2005.

    7. Bai, Q., J. Chen, N. H. Shen, C. Cheng, and H. T. Wang, "Controllable optical black hole in left-handed materials," Optics Express, Vol. 18, No. 3, 2106-2115, 2010.

    8. Huang, Y. and L. Gao, "Effective negative refraction in anisotropic layered composites," Journal of Applied Physics, Vol. 105, 013532, 2009.

    9. Mirza, I. O., J. N. Sabas, S. Shi, and D. W. Prather, "Experimental demonstration of metamaterial-based phase modulation," Progress In Electromagnetics Research, Vol. 93, 1-12, 2009.

    10. Sabah, C. and S. Uckun, "Multilayer system of Lorentz/Drude type metamaterials with dielectric slabs and its application to electromagnetic filters," Progress In Electromagnetics Research, Vol. 91, 349-364, 2009.

    11. Khalilpour, J. and M. Hakkak, "S-shaped ring resonator as anisotropic uniaxial metamaterial used in waveguide tunneling," Journal of Electromagnetic Waves and Applications, Vol. 23, No. 13, 1763-1772, 2009.

    12. Liu, S. H., C. H. Liang, W. Ding, L. Chen, and W. T. Pan, "Electromagnetic wave propagation through a slab waveguide of uniaxially anisotropic dispersive metamaterial," Progress In Electromagnetics Research, Vol. 76, 467-475, 2007.

    13. Woodley, J. and M. Mojahedi, "Backward wave propagation in left-handed media with isotropic and anisotropic permittivity tensors," J. Opt. Soc. Am. B, Vol. 23, No. 11, 2377-2382, 2006.

    14. Lindell, I. V., S. A. Tretyakov, K. I. Nikoskinen, and S. Ilvonen, "BW media-media with negative parameters, capable of supporting backward waves," Microwave and Optical Technology Letters, Vol. 31, No. 2, 129-133, 2001.

    15. Hu, L. and S. T. Chui, "Characteristics of electromagnetic wave propagation in uniaxially anisotropic left-handed materials," Phys. Rev. B, Vol. 66, 085108, 2002.

    16. 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.

    17. Parazzoli, C. G., R. B. Greegor, K. Li, B. E. C. Koltenbah, and M. Tanielian, "Experimental verification and simulation of negative index of refraction using Snell's law," Phys. Rev. Lett., Vol. 90, No. 10, 107401, 2003.

    18. Smith, D. R., P. Kolinko, and D. Schurig, "Negative refraction in indefinite media," J. Opt. Soc. Am. B, Vol. 21, No. 5, 1032-1043, 2004.

    19. Luo, H., Z. Ren, W. Shu, and F. Li, "Construct a polarizing beam splitter by an anisotropic metamaterial slab," Applied Physics B, Vol. 87, No. 2, 283-287, 2007.

    20. Degiron, A., D. R. Smith, J. J. Mock, B. J. Justice, and J. Gollub, "Negative index and indefinite media waveguide couplers," Applied Physics A, Vol. 87, No. 2, 321-328, 2007.

    21. Liu, Y., G. Bartal, and X. Zhang, "All-angle negative refraction and imaging in a bulk medium made of metallic nanowires in the visible region," Optics Express, Vol. 16, No. 20, 15439-15448, 2008.

    22. Smith, D. R. and D. Schurig, "Electromagnetic wave propagation in media with indefinite permittivity and permeability tensors," Phys. Rev. Lett., Vol. 90, No. 7, 077405, 2003.

    23. Xiang, Y., X. Dai, and S.Wen, "Total reflection of electromagnetic waves propagating from an isotropic medium to an indefinite metamaterial," Optics Communications, Vol. 274, 248-253, 2007.

    24. Xu, G., L. Su, T. Pan, and T. Zang, "Group delay in indefinite media," Physica B, Vol. 403, 3417-3423, 2008.

    25. Wang, Z. P., C. Wang, and Z. H. Zhang, "Goos-Hänchen shift of the uniaxially anisotropic left-handed material film with an arbitrary angle between the optical axis and the interface," Optics Communications, Vol. 281, No. 11, 3019-3024, 2008.

    26. Luo, H., W. Hu, X. Yi, H. Liu, and J. Zhu, "Amphoteric refraction at the interface between isotropic and anisotropic media," Optics Communications, Vol. 254, 353-360, 2005.