Vol. 143

Front:[PDF file] Back:[PDF file]
Latest Volume
All Volumes
All Issues
2014-01-25

Localized Monochromatic and Pulsed Waves in Hyperbolic Metamaterials (Invited Paper)

By Ioannis Besieris and Amr M. Shaarawi
Progress In Electromagnetics Research, Vol. 143, 761-771, 2013
doi:10.2528/PIER13122102

Abstract

A special class of metamaterials known as hyperbolic media allow the propagation of large classes of novel monochromatic and pulsed localized waves. Illustrative explicit solutions are given of ``accelerating'' oblique Airy beams, as well as nondiffracting and nondispersive spatiotemporally localized ``all-speed'' X-shaped and MacKinnon-type waves.

Citation


Ioannis Besieris and Amr M. Shaarawi, "Localized Monochromatic and Pulsed Waves in Hyperbolic Metamaterials (Invited Paper)," Progress In Electromagnetics Research, Vol. 143, 761-771, 2013.
doi:10.2528/PIER13122102
http://jpier.org/PIER/pier.php?paper=13122102

References


    1. Noginov, M., M. Lapine, V. Podolskiy, and Y. Kivshar, "Focus issue: Hyperbolic metamaterials," Opt. Express, Vol. 21, 14895-14897, 2013.
    doi:10.1364/OE.21.014895

    2. Drachev, V. P., V. A. Podolskiy, and A. V. Kildishev, "Hyperbolic metamaterials: New physics behind a classical problem," Opt. Express, Vol. 21, 15048-15064, 2013.
    doi:10.1364/OE.21.015048

    3. Poddubny, A., I. Iorsh, P. Belov, and Y. Kivshar, "Hyperbolic metamaterials," Nature Photon., Vol. 7, 948-957, 2013.
    doi:10.1038/nphoton.2013.243

    4. MacKay, T. G., A. Lakhtakia, and R. A. Depine, "Uniaxial dielectric media with hyperbolic dispersion relations ," Microwave Opt. Tech. Lett., Vol. 48, 363-367, 2005.
    doi:10.1002/mop.21350

    5. Sun, J., J. Zeng, and N. M. Litchinitser, "Twisting light with hyperbolic metamaterials," Opt. Express, Vol. 21, 14975-14981, 2013.
    doi:10.1364/OE.21.014975

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

    7. Hoffman, A. J., L. Alekseyev, S. S. Howard, K. J. Franz, D. Wasserman, V. A. Podolskiy, E. E. Narimanov, D. L. Sivco, and C. Gmachl , "Negative refraction in semiconductor metamaterials," Nature Mater., Vol. 6, 946-950, 2007.
    doi:10.1038/nmat2033

    8. Guo, B., "Negative refraction in the terahertz region using plasma metamaterials," Journal of Electromagnetic Waves and Applications, Vol. 26, No. 17--18, 2445-2451, 2012.
    doi:10.1080/09205071.2012.737450

    9. Guo, B., \, "Faraday effect on negative refraction in uniaxial anisotropic plasma metamaterials ," Chin. Phys. Lett., Vol. 30, 2013.

    10. Potemkin, A. S., A. N. Poddubny, P. A. Belov, and Y. S. Kivshar, "Green function for hyperbolic media," Phys. Rev. A, Vol. 86, 2012.

    11. Silveirinha, M. G. and S. I. Maslovski, "Radiation from elementary sources in a uniaxial wire medium," Phys. Rev. B, Vol. 85, 155125, 2012.
    doi:10.1103/PhysRevB.85.155125

    12. Smolyaninov, I. I. and E. E. Narimanov, "Metric signature transitions in optical metamaterials," Phys. Rev. Lett., Vol. 105, 2010.

    13. Fleck, Jr., J. A. and M. D. Feit, "Beam propagation in uniaxial anisotropic media," J. Opt. Soc. Am., Vol. 73, 920-926, 1973.

    14. Hacyan, S., "Derivation of the paraxial equation for extraordinary waves in uniaxial media," J. Opt. Soc. Am. A, Vol. 27, 602-604, 2010.
    doi:10.1364/JOSAA.27.000602

    15. Eichekraut, T. J., G. A. Siviloglou, I. M. Besieris, and D. N. Christodoulides, "Oblique airy wave packets in bidispersive optical media," Opt. Lett., Vol. 35, 3655-3557, 2010.
    doi:10.1364/OL.35.003655

    16. Mohseni, M., "Photon gas with hyperbolic dispersion relations," J. Opt., Vol. 15, 2013.

    17. Hernandez-Figueroa, H., M. Zamboni-Rached, and E. Recami, Localized Waves, 2008.

    18. Hernandez-Figueroa, H., M. Zamboni-Rached, and E. Recami, Non-diffracting Waves, 2013.

    19. Besieris, I. M., M. Abdel-Rahman, A. M. Shaarawi, and A. Chatzipetros, "Two fundamental representations of localized pulse solutions to the scalar wave equation," Progress In Electromagnetics Research, Vol. 19, 1-48, 1998.
    doi:10.2528/PIER97072900

    20. Ziolkowski, R. W., I. M. Besieris, and A. M. Shaarawi, "Aperture realizations of exact solutions to homogeneous wave equations," J. Opt. Soc. A, Vol. 10, 75-87, 1993.
    doi:10.1364/JOSAA.10.000075

    21. Reivelt, K. and P. Saari, "Optically realizable localized wave solutions of the homogeneous scalar wave equation," Phys. Rev. E, Vol. 65, 2002.