199 research outputs found
Nonlinear optical effects in artificial materials
We consider some nonlinear phenomena in metamaterials with negative
refractive index properties. Our consideration includes a survey of previously
known results as well as identification of the phenomena that are important for
applications of this new field. We focus on optical behavior of thin films as
well as multi-wave interactions.Comment: 22 pages, no figures. Submitted in book "Nonlinear waves in complex
systems: energy flow and geometry
Coherent Amplification of Optical Pulses in Metamaterials
In this paper we theoretically study propagation of steady state ultrashort
pulse in dissipative medium. We considered two cases (i) medium consists of
lossy metallic nanostructures embedded into a gain material and (ii) the gain
material is embedded directly into the nanostructures. We found the shape and
velocity of an optical pulse coupled with the polarization wave.Comment: 9 pages, 5 figures, submitted to IEEE Tran
Averaging For Solitons With Nonlinearity Management
We develop an averaging method for solitons of the nonlinear Schr{\"o}dinger
equation with periodically varying nonlinearity coefficient. This method is
used to effectively describe solitons in Bose-Einstein condensates, in the
context of the recently proposed and experimentally realizable technique of
Feshbach resonance management. Using the derived local averaged equation, we
study matter-wave bright and dark solitons and demonstrate a very good
agreement between solutions of the averaged and full equations.Comment: 6 pages, 5 figures, in pres
Controlling pulse propagation in optical fibers through nonlinearity and dispersion management
In case of the nonlinear Schr\"odinger equation with designed group velocity
dispersion, variable nonlinearity and gain/loss; we analytically demonstrate
the phenomenon of chirp reversal crucial for pulse reproduction. Two different
scenarios are exhibited, where the pulses experience identical dispersion
profiles, but show entirely different propagation behavior. Exact expressions
for dynamical quasi-solitons and soliton bound-states relevant for fiber
communication are also exhibited.Comment: 4 pages, 5 eps figure
Optical Pulse Dynamics in Active Metamaterials with Positive and Negative Refractive Index
We study numerically the propagation of two-color light pulses through a
metamaterial doped with active atoms such that the carrier frequencies of the
pulses are in resonance with two atomic transitions in the
configuration and that one color propagates in the regime of positive
refraction and the other in the regime of negative refraction. In such a
metamaterial, one resonant color of light propagates with positive and the
other with negative group velocity. We investigate nonlinear interaction of
these forward- and backward-propagating waves, and find self-trapped waves,
counter-propagating radiation waves, and hot spots of medium excitation.Comment: 9 pages, 6 figure
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