22 research outputs found
Quadratic solitary waves in a counterpropagating quasi-phase-matched configuration
We demonstrate the possibility of self-trapping of optical beams by use of
quasi phase matching in a counterpropagating configuration in quadratic media.
We also show the predominant stability of these spatial self-guided beams and
estimate the power level required for their experimental observation.Comment: 3 pages, 4 figure
Higher-order nonlinear modes and bifurcation phenomena due to degenerate parametric four-wave mixing
We demonstrate that weak parametric interaction of a fundamental beam with
its third harmonic field in Kerr media gives rise to a rich variety of families
of non-fundamental (multi-humped) solitary waves. Making a comprehensive
comparison between bifurcation phenomena for these families in bulk media and
planar waveguides, we discover two novel types of soliton bifurcations and
other interesting findings. The later includes (i) multi-humped solitary waves
without even or odd symmetry and (ii) multi-humped solitary waves with large
separation between their humps which, however, may not be viewed as bound
states of several distinct one-humped solitons.Comment: 9 pages, 17 figures, submitted to Phys. Rev.
Stability of spinning ring solitons of the cubic-quintic nonlinear Schrodinger equation
We investigate stability of (2+1)-dimensional ring solitons of the nonlinear
Schrodinger equation with focusing cubic and defocusing quintic nonlinearities.
Computing eigenvalues of the linearised equation, we show that rings with spin
(topological charge) s=1 and s=2 are linearly stable, provided that they are
very broad. The stability regions occupy, respectively, 9% and 8% of the
corresponding existence regions. These results finally resolve a controversial
stability issue for this class of models.Comment: 10 pages, 5 figures, accepted to Phys. Lett.
Induced Coherence and Stable Soliton Spiraling
We develop a theory of soliton spiraling in a bulk nonlinear medium and
reveal a new physical mechanism: periodic power exchange via induced coherence,
which can lead to stable spiraling and the formation of dynamical two-soliton
states. Our theory not only explains earlier observations, but provides a
number of predictions which are also verified experimentally. Finally, we show
theoretically and experimentally that soliton spiraling can be controled by the
degree of mutual initial coherence.Comment: 4 pages, 5 figure
Modulational instability in periodic quadratic nonlinear materials
We investigate the modulational instability of plane waves in quadratic
nonlinear materials with linear and nonlinear quasi-phase-matching gratings.
Exact Floquet calculations, confirmed by numerical simulations, show that the
periodicity can drastically alter the gain spectrum but never completely
removes the instability. The low-frequency part of the gain spectrum is
accurately predicted by an averaged theory and disappears for certain gratings.
The high-frequency part is related to the inherent gain of the homogeneous
non-phase-matched material and is a consistent spectral feature.Comment: 4 pages, 7 figures corrected minor misprint