Abstract
We present a novel theory of surface plasmon polariton interaction on the surface of dielectric with saturable Kerr nonlinearity. The effect of the total internal reflection of a weak signal plasmon beam from a high-power reference beam is discussed. Both ray and wave theories are used to describe signal propagation. The effect of the signal tunneling through the narrow inhomogeneity induced by the reference beam is considered.
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References
S.A. Maier, Plasmonics: Fundamentals and Applications (Springer, New York, 2006)
H. Raether, Surface Plasmons (Springer, Berlin, 1988)
I.V. Shadrivov, A.A. Sukhorukov, Yu.S. Kivshar, A.A. Zharov, A.D. Boardman, P. Egan, Nonlinear surface waves in left-handed materials. Phys. Rev. E 69, 016617 (2004)
R. Ruppin, Surface plasmon-polaritons of a left-handed medium. Phys. Lett. A 277, 61–64 (2000)
A.V. Kats, S. Savel’ev, V.A. Yampol’skii, F. Nori, Left-handed interfaces for electromagnetic surface waves. Phys. Rev. Lett. 98, 073901 (2007)
A.L. Stepanov, J.R. Krenn, H. Ditlbacher, A. Hohenau, A. Drezet, B. Steinberger, A. Leitner, F.R. Aussenegg, Quantitative analysis of surface plasmon interaction with silver nanoparticles. Opt. Lett. 30, 1524–1526 (2005)
V.I. Belotelov, D.A. Bykov, L.L. Doskolovich, A.K. Zvezdin, On surface plasmon polariton wavepacket dynamics in metal-dielectric heterostructures. J. Phys. Condens. Matter 22, 395301 (2010)
A.D. Boardman, A.P. Sukhorukov (eds.), Soliton Driven Photonics (Kluwer Academic, Dordrecht, 2001)
H.M. Gibbs, Optical Bistability: Controlling Light with Light (Academic Press, New York, 1985)
T. Utikal, M.I. Stockman, A.P. Heberle, M. Lippitz, H. Giessen, All-optical control of the ultrafast dynamics of a hybrid plasmonic system. Phys. Rev. Lett. 104(11), 113903 (2010)
G.A. Wurtz, R. Pollard, A.V. Zayats, Optical bistability in nonlinear surface-plasmon polaritonic crystals. Phys. Rev. Lett. 97, 057402 (2006)
K.F. MacDonald, Z.L. Samson, M.I. Stockman, N.I. Zheludev, Ultrafast active plasmonics. Nat. Photonics 3, 55–58 (2009)
V.E. Lobanov, A.P. Sukhorukov, Repulsion and total reflection with mismatched three-wave interaction of noncollinear optical beams in quadratic media. Phys. Rev. A 84, 023821 (2011)
A.P. Sukhorukov, V.E. Lobanov, A.A. Kalinovich, Nonlinear diffraction and total internal reflection in optical-beam interaction in defocusing media. J. Russ. Laser Res. 31(1), 1–11 (2010)
A.R. Davoyan, I.V. Shadrivov, Yu.S. Kivshar, Self-focusing and spatial plasmon-polariton solitons. Opt. Express 17, 21732 (2009)
D.O. Ignatyeva, A.N. Kalish, G.Yu. Levkina, A.P. Sukhorukov, Surface plasmon polaritons at gyrotropic interfaces. Phys. Rev. A 85, 043804 (2012). doi:10.1103/PhysRevA.85.043804
D.O. Saparina, A.P. Sukhorukov, Diffraction of surface waves in metals and metamaterials. Bull. Russ. Acad. Sci., Phys. 73(12), 1594–1597 (2009)
M. Razavy, Quantum Theory of Tunneling (World Scientific, Singapore, 2003)
Acknowledgement
We appreciate fruitful discussions with V.E. Lobanov. This work is supported by the Russian Foundation for Basic Research (Grants No. 11-02-00681, 12-02-31396), Russian Federation Presidential Grant No. MK-3123.2011.2, the FTP Scientific and Scientific-Pedagogical Personnel of the Innovative Russia, and the Dynasty Foundation.
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Ignatyeva, D.O., Sukhorukov, A.P. Plasmon beams interaction at interface between metal and dielectric with saturable Kerr nonlinearity. Appl. Phys. A 109, 813–818 (2012). https://doi.org/10.1007/s00339-012-7349-9
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DOI: https://doi.org/10.1007/s00339-012-7349-9