27 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
Unidirectional Propagation of an Ultra-Short Electromagnetic Pulse in a Resonant Medium with High Frequency Stark Shift
We consider in the unidirectional approximation the propagation of an ultra
short electromagnetic pulse in a resonant medium consisting of molecules
characterized by a transition operator with both diagonal and non-diagonal
matrix elements. We find the zero-curvature representation of the reduced
Maxwell-Bloch equations in the sharp line limit. This can be used to develop
the inverse scattering transform method to solve these equations. Finally we
obtain two types of exact traveling pulse solutions, one with the usual
exponential decay and another with an algebraic decay.Comment: Latex, 10 pages, no figure
Solitary electromagnetic waves propagation in the asymmetric oppositely-directed coupler
We consider the electromagnetic waves propagating in the system of coupled
waveguides. One of the system components is a standard waveguide fabricated
from nonlinear medium having positive refraction and another component is a
waveguide produced from an artificial material having negative refraction. The
metamaterial constituting the second waveguide has linear characteristics and a
wave propagating in the waveguide of this type propagates in the direction
opposite to direction of energy flux. It is found that the coupled nonlinear
solitary waves propagating both in the same direction are exist in this
oppositely-directed coupler due to linear coupling between nonlinear positive
refractive waveguide and linear negative refractive waveguide. The
corresponding analytical solution is found and it is used for numerical
simulation to illustrate that the results of the solitary wave collisions are
sensible to the relative velocity of the colliding solitary waves.Comment: 9 pages,5 figure