195 research outputs found
Electromagnetic wave propagation in a nonlinear hyperbolic medium
The propagation of a quasi-harmonic electromagnetic wave in a bulk hyperbolic
dielectric metamaterial is considered. If the group velocities dispersion is
not taken into account, then wave propagation can be described either by the
hyperbolic nonlinear Schrodinger equation or by the hyperbolic Manakov
equations. It is shown that the region in the space of wave vectors in which
the modulation instability of a spatially homogeneous wave is possible is not
limited, in contrast to the case of ordinary media.Comment: 13 pages, no figures, it was submitted to Quantum Electronic
Nonlinear polaritons in Bose-Einstein condensates in optical lattices
We study the interaction of a Bose-Einstein condensate in an optical lattice
with additional electromagnetic fields under Raman resonance condition. System
of evolution equations describing ultra-short optical pulse propagation and
photo-induced transport of cold atoms in optical lattice is derived. The steady
state solution of these equations was found. There are new kinds of polaritonic
solitary waves propagating.Comment: pdf-file, Reported on "IX International Readings on Quantum Optics",
12-17 October, St-Peterburg, Russi
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
Field Distribution into Binary Linear Waveguide Array
The binary (two-component) linear waveguide array that is formed either from identical waveguides but with alternating distances between adjacent waveguides, or waveguides with a positive refractive index, but having distinctions in the refractive index or the waveguide thickness. The exact solution of the coupled wave equations describing the field distribution over waveguides is found. These solutions describe the discrete diffraction in the model under consideration.
Keywords: coupled waveguides, binary array, discrete diffraction, generation function method
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