The surface wave dispersion relations of surface Plasmon at the interface of a left-handed material and a non-linear Kerr medium of arbitrary nonlinearity are derived based on a generalized first integral approach. The normalized power flow is also investigated for various values of frequency. The above study is conducted for both cases: self-focusing (α≺0) and de-focusing (α≻0) nonlinear Kerr coefficient.
References
[1]
Dionne, J.A., Verhagen, E., Polman, A. and Atwater, H.A. (2008) Are Negative Index Materials Achievable with Surface Plasmon Waveguides? A Case Study of Three Plasmonic Geometries. Optics Express, 16, 19001-19017.
http://dx.doi.org/10.1364/OE.16.019001
[2]
Tsakmakidis, K.L., Hermann, C., Klaedtke, A., Jamois, C. and Hess O. (2006) Surface Plasmon Polaritons in Generalized Slab Heterostructures with Negative Permittivity and Permeability. Physical Review B, 73, Article ID: 085104.
http://dx.doi.org/10.1103/PhysRevB.73.085104
[3]
Glass, N.E. and Rogovin, D. (1989) Surface-Polariton and Guided-Wave Excitation in Thin-Film Kerr Media. Physical Review B, 40, 1511. http://dx.doi.org/10.1103/PhysRevB.40.1511
[4]
Smolyaminoy, I.L., et al. (2002) Single-Photon Tunneling via Localized Surface Plasmons. Physical Review Letters, 88, Article ID: 187402. http://dx.doi.org/10.1103/PhysRevLett.88.187402
[5]
Baher, S. and Cottam, M.G. (2004) Theory of Nonlinear s-Polarized Phonon-Polaritons in Multilayered Structures. Journal of Science, 15, 171-177.
[6]
Wurtz, G.A., Potrald, R. and Zayats, A.V. (2006) Optical Bistability in Nonlinear Surface-Plasmon Polaritonic Crystals. Physical Review Letters, 97, Article ID: 057402. http://dx.doi.org/10.1103/PhysRevLett.97.057402
[7]
Zhou, H., Chen, X., Hou, P. and Li, C.F. (2008) Giant Bistable Lateral Shift Owing to Surface Plasmon Excitation in Kretschmann Configuration with a Kerr Nonlinear Dielectric. Optical Letters, 33, 1249-1251.
http://dx.doi.org/10.1364/OL.33.001249
[8]
Taya, S.A., Shabat, M.M. and Khalil, H.M. (2009) Enhancement of Sensitivity in Optical Waveguide Sensors Using Left-Handed Materials. Optik, 120, 504-508. http://dx.doi.org/10.1016/j.ijleo.2007.12.001
[9]
Taya, S.A., Shabat, M.M. and Khalil, H.M. (2008) Analysis of TM Nonlinear Asymmetrical Waveguide Optical Sensors. Sensors and Actuators A: Physical, 147, 137-141. http://dx.doi.org/10.1016/j.sna.2008.05.002
[10]
Veselago, V.G. (1968) The Electrodynamics of Substances with Simultaneously Negative Values of ε and μ. Soviet Physics Uspekhi, 10, 509-514. http://dx.doi.org/10.1070/PU1968v010n04ABEH003699
[11]
Podolskiy, V.A., Sarychev, A.K. and Shalaev, V.M. (2002) Plasmon Modes in Metal Nanowires and Left-Handed Materials. Journal of Nonlinear Optical Physics & Materials, 11, 65-74. http://dx.doi.org/10.1142/S0218863502000833
[12]
Notomi, M. (2000) Theory of Light Propagation in Strongly Modulated Photonic Crystals: Refractionlike Behavior in the Vicinity of the Photonic Band Gap. Physical Review B, 62, 10696-10705.
http://dx.doi.org/10.1103/PhysRevB.62.10696
[13]
Hamada, M.S., El-Astal, A.H. and Shabat, M.M. (2007) Nonlinear TE Surface Waves in a Photosensitive Semiconductor Film Bounded by a Superconductor Cover. International Journal of Modern Physics B, 21, 1817-1825.
http://dx.doi.org/10.1142/S0217979207037065
[14]
Hamada, M.S., El-Astal, A.H. and Shabat, M.M. (2007) Characteristic of Surface Waves in Nonlinear Left-Handed- Photosensitive-Semiconductor Waveguide Structure. International Journal of Modern Physics B, 21, 5319-5329.
http://dx.doi.org/10.1142/S0217979207038459
[15]
Hamada, M.S., Ass’ad, A.I., Ashour, H.S. and Shabat, M.M. (2006) Nonlinear Magnetostatic Surface Waves in a Ferrite-Left-Handed Waveguide Structure. Journal of Microwaves and Optoelectronics, 5, 45-54.
[16]
Mihalache, D., Nazmitdinov, R.G. and Fedyanin, V.K. (1989) Nonlinear Optical Waves in Layered Structure. Soviet Journal of Nuclear Physics, 20, 86-107.
