1,027 research outputs found
Solitons in a medium with linear dissipation and localized gain
We present a variety of dissipative solitons and breathing modes in a medium
with localized gain and homogeneous linear dissipation. The system posses a
number of unusual properties, like exponentially localized modes in both
focusing and defocusing media, the existence of modes in focusing media at
negative propagation constant values, the simultaneous existence of stable
symmetric and anti-symmetric localized modes when the gain landscape possesses
two local maxima, as well as the existence of stable breathing solutions.Comment: 4 pages, 5 figures, to appear in Optics Letter
Disorder-induced soliton transmission in nonlinear photonic lattices
We address soliton transmission and reflection in nonlinear photonic lattices
embedded into uniform Kerr nonlinear media. We show that by introducing
disorder into the guiding lattice channels, one may achieve soliton
transmission even under conditions where regular lattices reflect the input
beam completely. In contrast, in the parameter range where the lattice is
almost transparent for incoming solitons, disorder may induce a significant
reflection.Comment: 5 pages, 4 figures, to appear in Optics Letter
Shaping soliton properties in optical Mathieu lattices
We address basic properties and stability of two-dimensional solitons in
photonic lattices induced by the nondiffracting Mathieu beams. Such lattices
allow for smooth topological transformation of radially symmetric Bessel
lattices into quasi-one-dimensional periodic ones. The transformation of
lattice topology drastically affects properties of ground-state and dipole-mode
solitons, including their shape, stability and transverse mobility.Comment: 14 pages, 4 figures, to appear in Optics Letter
Parametric amplification of random lattice soliton swinging
We consider the propagation of solitons in media with an imprinted transverse
periodic or parabolic refractive index modulation when the modulation depth
slightly fluctuates along the propagation direction. We find that, under
suitable spectral resonance conditions, small transverse soliton oscillations
may get parametrically amplified.Comment: 12 pages, 4 figures, to appear in Optics Letter
Wave patterns generated by a flow of two-component Bose-Einstein condensate with spin-orbit interaction past a localized obstacle
It is shown that spin-orbit interaction leads to drastic changes in wave
patterns generated by a flow of two-component Bose-Einstein condensate (BEC)
past an obstacle. The combined Rashba and Dresselhaus spin-orbit interaction
affects in different ways two types of excitations---density and polarization
waves---which can propagate in a two-component BEC. We show that the density
and polarization "ship wave" patterns rotate in opposite directions around the
axis located at the obstacle position and the angle of rotation depends on the
strength of spin-orbit interaction. This rotation is accompanied by narrowing
of the Mach cone. The influence of spin-orbit coupling on density solitons and
polarization breathers is studied numerically.Comment: 5 pages, 3 figure
Resonant mode conversion in the waveguides with an unbroken and broken PT-symmetry
We study resonant mode conversion in the PT-symmetric multimode waveguides,
where symmetry breaking manifests itself in sequential destabilization
(appearance of the complex eigenvalues) of the pairs of adjacent guided modes.
We show that the efficient mode conversion is possible even in the presence of
the resonant longitudinal modulation of the complex refractive index. The
distinguishing feature of the resonant mode conversion in the PT-symmetric
structure is a drastic growth of the width of the resonance curve when the
gain/losses coefficient approaches a critical value, at which symmetry breaking
occurs. We found that in the system with broken symmetry the resonant coupling
between exponentially growing mode with stable higher-order one effectively
stabilizes dynamically coupled pair of modes and remarkably diminishes the
average rate of the total power growth.Comment: 4 pages, 6 figure
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