9 research outputs found
Soliton eigenvalue control with optical lattices
We address the dynamics of higher-order solitons in optical lattices, and
predict their self-splitting into the set of their single-soliton constituents.
The splitting is induced by the potential introduced by the lattice, together
with the imprinting of a phase tilt onto the initial multisoliton states. The
phenomenon allows the controllable generation of several coherent solitons
linked via their Zakharov-Shabat eigenvalues. Application of the scheme to the
generation of correlated matter waves in Bose-Einstein condensates is
discussed.Comment: 13 pages, 4 figures, to appear in Physical Review Letter
Spatiotemporal discrete multicolor solitons
We have found various families of two-dimensional spatiotemporal solitons in
quadratically nonlinear waveguide arrays. The families of unstaggered odd, even
and twisted stationary solutions are thoroughly characterized and their
stability against perturbations is investigated. We show that the twisted and
even solutions display instability, while most of the odd solitons show
remarkable stability upon evolution.Comment: 18 pages,7 figures. To appear in Physical Review
Multicolor vortex solitons in two-dimensional photonic lattices
We report on the existence and stability of multicolor lattice vortex
solitons constituted by coupled fundamental frequency and second-harmonic waves
in optical lattices in quadratic nonlinear media. It is shown that the solitons
are stable almost in the entire domain of their existence, and that the
instability domain decreases with the increase of the lattice depth. We also
show the generation of the solitons, and the feasibility of the concept of
lattice soliton algebra.Comment: 18 pages,6 figures. To appear in Physical Review
Surface waves at the interface between left-handed and birefringent materials
We theoretically investigate the existence and properties of hybrid surface
waves forming at interfaces between left-handed materials and dielectric
birefringent media. The existence conditions of such waves are found to be
highly relaxed in comparison to the original hybrid surface waves, discovered
by Dyakonov, in configurations involving birefringent materials and
right-handed media. Hybrid surface waves in left-handed materials feature
remarkable properties: (i) a high degree of localization and (ii) coexistence
of several guided solutions. The existence of several hybrid surface waves for
the same parameter set is linked to the birefringent nature of the medium
whereas the strong localization is related to the presence of the left-handed
material. The hybrid surface modes appear for large areas in the parameter
space.Comment: 11 pages, 6 figure
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.
Globally-Linked Vortex Clusters in Trapped Wave Fields
We put forward the existence of a rich variety of fully stationary vortex
structures, termed H-clusters, made of an increasing number of vortices nested
in paraxial wave fields confined by trapping potentials. However, we show that
the constituent vortices are globally linked, rather than products of
independent vortices. Also, they always feature a monopolar global wave front
and exist in nonlinear systems, such as Bose-Einstein condensates. Clusters
with multipolar global wave fronts are non-stationary or at best flipping.Comment: 4 pages, 5 PostScript figure