1,648 research outputs found
Generation and stability of discrete gap solitons
We analyze stability and generation of discrete gap solitons in weakly
coupled optical waveguides. We demonstrate how both stable and unstable
solitons can be observed experimentally in the engineered binary waveguide
arrays, and also reveal a connection between the gap-soliton instabilities and
limitations on the mutual beam focusing in periodic photonic structures.Comment: 3 pages, 3 figure
Interplay between Coherence and Incoherence in Multi-Soliton Complexes
We analyze photo-refractive incoherent soliton beams and their interactions
in Kerr-like nonlinear media. The field in each of M incoherently interacting
components is calculated using an integrable set of coupled nonlinear
Schrodinger equations. In particular, we obtain a general N-soliton solution,
describing propagation of multi-soliton complexes and their collisions. The
analysis shows that the evolution of such higher-order soliton beams is
determined by coherent and incoherent contributions from fundamental solitons.
Common features and differences between these internal interactions are
revealed and illustrated by numerical examples.Comment: 4 pages, 3 figures; submitted to Physical Revie
Intensity limits for stationary and interacting multi-soliton complexes
We obtain an accurate estimate for the peak intensities of multi-soliton
complexes for a Kerr-type nonlinearity in the (1+1) - dimension problem. Using
exact analytical solutions of the integrable set of nonlinear Schrodinger
equations, we establish a rigorous relationship between the eigenvalues of
incoherently-coupled fundamental solitons and the range of admissible
intensities. A clear geometrical interpretation of this effect is given.Comment: 3 pages, 3 figure
Multi-gap discrete vector solitons
We analyze nonlinear collective effects in periodic systems with multi-gap
transmission spectra such as light in waveguide arrays or Bose-Einstein
condensates in optical lattices. We demonstrate that the inter-band
interactions in nonlinear periodic gratings can be efficiently managed by
controlling their geometry, and predict novel types of discrete vector solitons
supported by nonlinear coupling between different bandgaps and study their
stability.Comment: 4 pages, 4 figure
Optical Zener-Bloch oscillations in binary waveguide arrays
Zener tunneling in a binary array of coupled optical waveguides with
transverse index gradient is shown to produce a sequence of regular or
irregular beam splitting and beam recombination events superimposed to Bloch
oscillations. These periodic or aperiodic Zener-Bloch oscillations provide a
clear and visualizable signature in an optical system of coherent multiband
dynamics encountered in solid-state or matter-wave system
Whispering gallery modes in optical fibers based on reflectionless potentials
We consider an optical fiber with nanoscale variation of the effective fiber
radius supporting whispering gallery modes slowly propagating along the fiber,
and reveal that the radius variation can be designed to support reflectionless
propagation of these modes. We show that reflectionless modulations can realize
control of transmission amplitude and temporal delay, while enabling close
packing due to the absence of cross-talk, in contrast to conventional
potentials.Comment: 4 pages, 3 figure
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