73 research outputs found
Three-dimensional spatiotemporal optical solitons in nonlocal nonlinear media
We demonstrate the existence of stable three-dimensional spatiotemporal
solitons (STSs) in media with a nonlocal cubic nonlinearity. Fundamental
(nonspinning) STSs forming one-parameter families are stable if their
propagation constant exceeds a certain critical value, that is inversely
proportional to the range of nonlocality of nonlinear response. All spinning
three-dimensional STSs are found to be unstable.Comment: 14 pages, 6 figures, accepted to PRE, Rapid Communication
Stable three-dimensional spinning optical solitons supported by competing quadratic and cubic nonlinearities
We show that the quadratic interaction of fundamental and second harmonics in
a bulk dispersive medium, combined with self-defocusing cubic nonlinearity,
give rise to completely localized spatiotemporal solitons (vortex tori) with
vorticity s=1. There is no threshold necessary for the existence of these
solitons. They are found to be stable against small perturbations if their
energy exceeds a certain critical value, so that the stability domain occupies
about 10% of the existence region of the solitons. We also demonstrate that the
s=1 solitons are stable against very strong perturbations initially added to
them. However, on the contrary to spatial vortex solitons in the same model,
the spatiotemporal solitons with s=2 are never stable.Comment: latex text, 10 ps and 2 jpg figures; Physical Review E, in pres
Stable spatiotemporal solitons in Bessel optical lattices
We investigate the existence and stability of three-dimensional (3D) solitons
supported by cylindrical Bessel lattices (BLs) in self-focusing media. If the
lattice strength exceeds a threshold value, we show numerically, and using the
variational approximation, that the solitons are stable within one or two
intervals of values of their norm. In the latter case, the Hamiltonian-vs.-norm
diagram has a "swallowtail" shape, with three cuspidal points. The model
applies to Bose-Einstein condensates (BECs) and to optical media with saturable
nonlinearity, suggesting new ways of making stable 3D BEC solitons and "light
bullets" of an arbitrary size.Comment: 9 pages, 4 figures, Phys. Rev. Lett., in pres
Scattering of dipole-mode vector solitons: Theory and experiment
We study, both theoretically and experimentally, the scattering properties of
optical dipole-mode vector solitons - radially asymmetric composite
self-trapped optical beams. First, we analyze the soliton collisions in an
isotropic two-component model with a saturable nonlinearity and demonstrate
that in many cases the scattering dynamics of the dipole-mode solitons allows
us to classify them as ``molecules of light'' - extremely robust spatially
localized objects which survive a wide range of interactions and display many
properties of composite states with a rotational degree of freedom. Next, we
study the composite solitons in an anisotropic nonlinear model that describes
photorefractive nonlinearities, and also present a number of experimental
verifications of our analysis.Comment: 8 pages + 4 pages of figure
Multidimensional solitons in periodic potentials
The existence of stable solitons in two- and three-dimensional (2D and 3D)
media governed by the self-focusing cubic nonlinear Schr\"{o}dinger equation
with a periodic potential is demonstrated by means of the variational
approximation (VA) and in direct simulations. The potential stabilizes the
solitons against collapse. Direct physical realizations are a Bose-Einstein
condensate (BEC) trapped in an optical lattice, and a light beam in a bulk Kerr
medium of a photonic-crystal type. In the 2D case, the creation of the soliton
in a weak lattice potential is possible if the norm of the field (number of
atoms in BEC, or optical power in the Kerr medium) exceeds a threshold value
(which is smaller than the critical norm leading to collapse). Both
"single-cell" and "multi-cell" solitons are found, which occupy, respectively,
one or several cells of the periodic potential, depending on the soliton's
norm. Solitons of the former type and their stability are well predicted by VA.
Stable 2D vortex solitons are found too.Comment: 13 pages, 3 figures, Europhys. Lett., in pres
Vortex oscillations in confined Bose-Einstein condensate interacting with 1D optical lattice
We study Bose-Einstein condensate of atomic Boson gases trapped in a
composite potential of a harmonic potential and an optical lattice potential.
We found a series of collective excitations that induces localized vortex
oscillations with a characteristic wavelength. The oscillations might be
observed experimentally when radial confinement is tight. We present the
excitation spectra of the vortex oscillation modes and propose a way to
experimentally excite the modes.Comment: 5 pages, 7 figures. Title, abstract and references are update
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
Vortex twins and anti-twins supported by multi-ring gain landscapes
We address the properties of multi-vortex soliton complexes supported by
multi-ring gain landscapes in focusing Kerr nonlinear media with strong
two-photon absorption. Stable complexes incorporating two, three, or four
vortices featuring opposite or identical topological charges are shown to
exist. In the simplest geometries with two amplifying rings vortex twins with
equal topological charges exhibit asymmetric intensity distributions, while
vortex anti-twins may be symmetric or asymmetric, depending on the gain level
and separation between rings. Different arrangements of amplifying rings allow
generation of stable multi-vortex soliton complexes with various topologies,
with twins and anti-twins as building blocks.Comment: 3 pages, 3 figures, to appear in Optics Letter
Stable spinning optical solitons in three dimensions
We introduce spatiotemporal spinning solitons (vortex tori) of the
three-dimensional nonlinear Schrodinger equation with focusing cubic and
defocusing quintic nonlinearities. The first ever found completely stable
spatiotemporal vortex solitons are demonstrated. A general conclusion is that
stable spinning solitons are possible as a result of competition between
focusing and defocusing nonlinearities.Comment: 4 pages, 6 figures, accepted to Phys. Rev. Let
Double-Wall Carbon Nanotube Hybrid Mode-Locker in Tm-doped Fibre Laser: A Novel Mechanism for Robust Bound-State Solitons Generation
The complex nonlinear dynamics of mode-locked fibre lasers, including a broad variety of dissipative structures and self-organization effects, have drawn significant research interest. Around the 2 μm band, conventional saturable absorbers (SAs) possess small modulation depth and slow relaxation time and, therefore, are incapable of ensuring complex inter-pulse dynamics and bound-state soliton generation. We present observation of multi-soliton complex generation in mode-locked thulium (Tm)-doped fibre laser, using double-wall carbon nanotubes (DWNT-SA) and nonlinear polarisation evolution (NPE). The rigid structure of DWNTs ensures high modulation depth (64%), fast relaxation (1.25 ps) and high thermal damage threshold. This enables formation of 560-fs soliton pulses; two-soliton bound-state with 560 fs pulse duration and 1.37 ps separation; and singlet+doublet soliton structures with 1.8 ps duration and 6 ps separation. Numerical simulations based on the vectorial nonlinear Schr¨odinger equation demonstrate a transition from single-pulse to two-soliton bound-states generation. The results imply that DWNTs are an excellent SA for the formation of steady single- and multi-soliton structures around 2 μm region, which could not be supported by single-wall carbon nanotubes (SWNTs). The combination of the potential bandwidth resource around 2 μm with the soliton molecule concept for encoding two bits of data per clock period opens exciting opportunities for data-carrying capacity enhancement.M.C. acknowledges the support of EU Horizon2020 Marie S.-Curie IF MINDFLY project. A.E.B. acknowledges the support of Russian Science Foundation (grant 14-21-00110). M.A.A. acknowledges the support of Ministry of Higher Education Sultanate of Oman. T.H. acknowledges the support of Royal Academy of Engineering Fellowship (Graphlex). The support by the Marie-Curie Inter-national Research Staff Exchange Scheme “TelaSens” project, Research Executive Agency Grant No. 269271, Programme: FP7-PEOPLE-2010-IRSES and European Research Council through the FP7-IDEAS-ERC grant ULTRALASER are gratefully acknowledged
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