Abstract
The active structures having nonlinear optic features, metamaterial waveguides are a material of interest for compensating loss effects and creating zero light group velocity. In this paper, the multilayer structure of metamaterial waveguide with five layers is investigated. The core is metamaterial having loss and the inner cladding layer is dielectric material composed with nonlinear active materials which through applying an external light having specific wavelength, represents nonlinear characteristics. The propagation and power relations is achieved and calculated in each layer and afterward, setting three nonlinear active material \(Au/ZnO, Au/SiO_{2}\), and \(Ag/SiO_{2}\), in the cladding layer and applying an external light pump with \(\lambda =532\,\hbox {nm}\), the amplitude of external light pump and critical thickness of the core for zero optic group velocity for each structure is measured. Then by drawing related diagrams, the measurements and results are compared, and the most appropriate structure will be selected.
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Alu, A., Engheta, N.: Guided modes in awaveguide filled with a pair of single-nagative (SNG), doublenegative(DNG), and/or double-positive (DPS) layers. IEEE Trans. Microw. Theory Technol. 52, 199–210 (2004)
Berman, P.R.: Goos–Hanchen shift in negatively refractive media. Phys. Rev. E. 66, 067603–067605 (2002)
Dolling, G., Enkrich, C., Wegener, M., Soukoulis, C.M., Linden, S.: Low-loss negative-index metamaterial at telecommunication wavelengths. Opt. Lett. 31, 1800–1802 (2006)
Dolling, G., Enkrich, C., Wegener, M., Soukoulis, C.M., Linden, S.: Negative-index material at 780 nm wavelength. Opt. Lett. 32, 53–55 (2007)
Erfaninia, H., Rostami, A.: Group velocity reduction in multilayer metamaterial waveguide. Optik 124, 1230–1233 (2013)
Fang, A., Koschny, T., Soukoulis, C.M.: Self-consistent calculations of loss-compensated fishnet metamaterials. Phys. Rev. B. 82, 121102–121105 (2010)
Ganeev, R.A., Ryasnyansky, A.I., Stepanov, A.L., Usmanov, T.: Saturated absorption and nonlinear refraction of silicate glasses doped with silver nanoparticles at 532 nm. Opt. Quantum Electron. 36, 949–960 (2004)
Hao, Z., Martin, M.C., Harteneck, B., Cabrini, S., Anderson, E.H.: Negative index of refraction observed in asingle layer of closed ring magnetic dipole resonators. Appl. Phys. Lett. 91, 253119–253121 (2007)
He, J., He, S.: Slow propagation of electromagnetic waves in a dielectric slab waveguide with a left-handed material substrate. IEEE Microw. Wirel. Compon. Lett. 16, 96–98 (2005)
Jiang, T., Zhao, J., Feng, Y.: Stopping light by an air waveguide with anisotropic metamaterial cladding. Opt. Express 17, 170–177 (2009)
Kirby, E.I., Hamm, J.M., Pickering, T., Tsakmakidis, K.L., Hess, O.: Evanescent gain in “Trapped Rainbow” negative refractive index heterostructures. (2010). arXiv:1010.5468
Maghamianzadeh, E., Erfaninia, H.: Novel adiabatic structure for stopping light in lossy metamaterial waveguide with active cladding ZnO/Au. Opt. Quantum Electron. (2014). doi:10.1007/s11082-013-9852-4
Mokhtari, B., Eddeqaqi, N.C., Atangana, J., Essama, B.G.O., Kofane, T.C.: Nonlinear dispersion equation and guided modes in a slab waveguide composed of a negative-index medium. Opt. Quantum Electron 46, 155–163 (2013)
Ning, T., Zhou, Y., Shen, H., Lu, H., Sun, Z., Cao, L., Guan, D., Zhang, D., Yang, G.: Nonlinear optical properties of Au/ZnO nanoparticle arrays. Appl. Surf. Sci. 254, 1900–1903 (2008)
Novitsky, A.V., Barkovsky, L.M.: Guided modes in negative-refractive-index fibres. J. Opt. A Pure Appl. Opt. 7, S51–S56 (2005)
Pendry, J.B.: Negative refraction makes a perfect lens. Phys. Rev. Lett. 85, 3966–3969 (2000)
Saleh, B.E.A., Teich, M.C.: Fundamentals of Photonics, pp. 877–879. Wiley, Hoboken, New Jersey (2007)
Shadrivov, I.V., Zharov, A.A., Kivshar, Y.S.: Giant Goos–Hanchen effect at the reflection from left-handed metamaterials. Appl. Phys. Lett. 83, 2713–2715 (2003)
Shelby, R.A., Smith, D.R., Schultz, S.A.: Experimental verification of a negative index of refraction. Science 292, 77–79 (2001)
Torres, C.T., Khomenko, A.V., Wong, J.C.C., Fernandez, L.R., Sosa, A.C., Oliver, A.: Absorptive and refractive nonlinearities by four-wave mixing for Au nanoparticles in ion-implanted silica. Opt. Express 15, 9248–9253 (2007)
Tsakmakidis, K.L., Boardman, A.D., Hess, O.: Trapped rainbow storage of light in metamaterials. Nature 450, 397–401 (2007)
Veselago, V.G.: The electrodynamics of substances with simultaneosly negativevalues of \(\varepsilon \) and \(\mu \). Sov. Phys. Usp. 10, 509–514 (1968)
Wang, Z.H., Xiao, Z.Y., Li, S.P.: Guided modes in slab waveguides with a left handed material cover or substrate. Opt. Commun. 281, 607–613 (2008)
Wuestner, S., Pusch, A., Tsakmakidis, K.L., Hamm, J.M., Hess, O.: Overcoming losses with gain in a negative refractive index metamaterial. Phys. Rev. Lett. 105, 127401–127404 (2010)
Xiao, S., Drachev, V.P., Kildishev, A.V., Ni, X., Chettiar, U.K., Yuan, H.K., Shalaev, V.M.: Loss-free and active optical negative-index metamaterials. Nature 466, 735–738 (2010)
Yamamoto, K., Nomura, S.: Energy compensated mode in a waveguide composed of lossy left-handed metamaterial. Opt. Commun. 276, 191–195 (2007)
Zhang, S., Fan, W., Panoiu, N.C., Malloy, K.J., Osgood, R.M., Brueck, S.R.J.: Experimental demonstration of near-infrared negative-index metamaterials. Phys. Rev. Lett. 95, 137404–137407 (2005)
Zhou, L., Chan, C.: Vortex-like surfacewave and its role on the transient phe-nomena of metamaterial focusing. Appl. Phys. Lett. 86, 101104–101106 (2005)
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Maghamianzadeh, E., Erfaninia, H. Investigation of nonlinear light optimum parameters to compensate loss in multilayer metamaterial waveguide with an active cladding layer. Opt Quant Electron 47, 363–373 (2015). https://doi.org/10.1007/s11082-014-9918-y
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DOI: https://doi.org/10.1007/s11082-014-9918-y