620 research outputs found
Interface solitons in two-dimensional photonic lattices
We analyze localization of light at the interface separating square and
hexagonal photonic lattices, as recently realized experimentally in
two-dimensional laser-written waveguide arrays in silica glass with
self-focusing nonlinearity [A. Szameit {\em et al.}, Opt. Lett. {\bf 33}, 663
(2008)]. We reveal the conditions for the existence of {\em linear} and {\em
nonlinear} surface states substantially influenced by the lattice topology, and
study the effect of the different symmetries and couplings on the stability of
two-dimensional interface solitons.Comment: 3 pages, 4 figures, submitted to Opt. Let
Dynamical trapping of light in modulated waveguide lattices
A discrete analogue of the dynamical (Kapitza) trapping effect, known for
classical and quantum particles in rapidly oscillating potentials, is proposed
for light waves in modulated graded-index waveguide lattices. As in the
non-modulated waveguide lattice a graded-index potential can confine light at
either normal or Bragg angle incidence, periodic modulation of the potential in
the longitudinal direction enables to trap optical beams at both normal and
Bragg incidence angles.Comment: to be published in Optics Letter
Dynamic localization in Glauber-Fock lattices
Glauber-Fock lattices refer to a special class of semi-infinite tight-binding
lattices with inhomogeneous hopping rates which are found in certain simple
solid-state, quantum optics and quantum field theoretical models. Here it is
shown that dynamic localization, i.e. suppression of quantum diffusion and
periodic quantum self-imaging by an external sinusoidal force [D.H. Dunlap and
V.M. Kenkre, Phys. Rev. B {\bf 34}, 3625 (1986)], can be exactly realized in
Glauber-Fock lattices, in spite of inhomogeneity of hopping rates and lattice
truncation.Comment: 3 figure
Switching management in couplers with biharmonic longitudinal modulation of refractive index
We address light propagation in couplers with longitudinal biharmonic
modulation of refractive index in neighboring channels. While simplest
single-frequency out-of-phase modulation allows suppression of coupling for
strictly defined set of resonant frequencies, the addition of modulation on
multiple frequency dramatically modifies the structure of resonances. Thus,
additional modulation on double frequency may suppress primary resonance, while
modulation on triple frequency causes fusion of primary and secondary
resonances.Comment: 13 pages, 4 figures, to appear in Optics Letter
Radially Self-Accelerating Optical Pulses
We generalise the concept of radially self-accelerating beams, to the domain
of optical pulses. In particular, we show, how radially self-accelerating
optical pulses (RSAPs) can be constructed by suitable superpositions of
X-waves, which are a natural extension of Bessel beams in the pulsed domain.
Moreover, we show, that while field rotating RSAPs preserve their
self-acceleration character, intensity rotating RSAPs only possess pseudo
self-acceleration, as their transverse intensity distribution is deformed
during propagation, due to their propagation-dependent angular velocity
Discrete and surface solitons in photonic graphene nanoribbons
We analyze localization of light in honeycomb photonic lattices restricted in
one dimension which can be regarded as an optical analog of (``armchair'' and
``zigzag'') graphene nanoribbons. We find the conditions for the existence of
spatially localized states and discuss the effect of lattice topology on the
properties of discrete solitons excited inside the lattice and at its edges. In
particular, we discover a novel type of soliton bistability, the so-called
geometry-induced bistability, in the lattices of a finite extent.Comment: three double-column pages, 5 figures, submitted for publicatio
Observation of surface solitons in chirped waveguide arrays
We report the observation of surface solitons in chirped semi-infinite
waveguide arrays whose waveguides exhibit exponentially decreasing refractive
indices. We show that the power threshold for surface wave formation decreases
with an increase of the array chirp and that for sufficiently large chirp
values linear surface modes are supported.Comment: 12 pages, 3 figures, to appear in Optics Letter
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