33 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
Resonant optical pulses on a continuous wave background in two-level active media
We present exact N-soliton optical pulses riding on a continuous-wave (c.w.)
beam that propagate through and interact with a two-level active optical
medium. Their representation is derived via an appropriate generalization of
the inverse scattering transform for the corresponding Maxwell-Bloch equations.
We describe the single-soliton solutions in detail and classify them into
several distinct families. In addition to the analogues of traveling-wave
soliton pulses that arise in the absence of a c.w. beam, we obtain
breather-like structures, periodic pulse-trains and rogue-wave-type (i.e.,
rational) pulses, whose existence is directly due to the presence of the c.w.
beam. These soliton solutions are the analogues for Maxwell-Bloch systems of
the four classical solution types of the focusing nonlinear Schrodinger
equation with non-zero background, although the physical behavior of the
corresponding solutions is quite different.Comment: 10 pages, 10 figures, to appear in Europhys. Let
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
Twin Families of Bisolitons in Dispersion Managed Systems
We calculate bisoliton solutions using a slowly varying stroboscopic
equation. The system is characterized in terms of a single dimensionless
parameter. We find two branches of solutions and describe the structure of the
tails for the lower branch solutions.Comment: 3 pages 4 figure
Random polarization dynamics in a resonant optical medium
Random optical-pulse polarization switching along an active optical medium in
the -configuration with spatially disordered occupation numbers of its
lower energy sub-level pair is described using the idealized integrable
Maxwell-Bloch model. Analytical results describing the light
polarization-switching statistics for the single self-induced transparency
pulse are compared with statistics obtained from direct Monte-Carlo numerical
simulations.Comment: 7 pages, 3 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