205 research outputs found
Exchange-coupled Chromium Ion Pairs in Ruby
Exchange-coupled chromium ion pairs in ruby, and application of piezospectroscopic effect to laser technolog
Soliton blue-shift in tapered photonic crystal fiber
We show that solitons undergo a strong blue shift in fibers with a dispersion
landscape that varies along the direction of propagation. The experiments are
based on a small-core photonic crystal fiber, tapered to have a core diameter
that varies continuously along its length, resulting in a zero-dispersion
wavelength that moves from 731 nm to 640 nm over the transition. The central
wavelength of a soliton translates over 400 nm towards shorter wavelength. This
accompanied by strong emission of radiation into the UV and IR spectral region.
The experimental results are confirmed by numerical simulation.Comment: 10 pages, 4 figure
Reflection of Channel-Guided Solitons at Junctions in Two-Dimensional Nonlinear Schroedinger Equation
Solitons confined in channels are studied in the two-dimensional nonlinear
Schr\"odinger equation. We study the dynamics of two channel-guided solitons
near the junction where two channels are merged. The two solitons merge into
one soliton, when there is no phase shift. If a phase difference is given to
the two solitons, the Josephson oscillation is induced. The Josephson
oscillation is amplified near the junction. The two solitons are reflected when
the initial velocity is below a critical value.Comment: 3 pages, 2 figure
Nonlinear wavelength conversion in photonic crystal fibers with three zero dispersion points
In this theoretical study, we show that a simple endlessly single-mode
photonic crystal fiber can be designed to yield, not just two, but three
zero-dispersion wavelengths. The presence of a third dispersion zero creates a
rich phase-matching topology, enabling enhanced control over the spectral
locations of the four-wave-mixing and resonant-radiation bands emitted by
solitons and short pulses. The greatly enhanced flexibility in the positioning
of these bands has applications in wavelength conversion, supercontinuum
generation and pair-photon sources for quantum optics
Understanding the dynamics of photoionization-induced solitons in gas-filled hollow-core photonic crystal fibers
We present in detail our developed model [Saleh et al., Phys. Rev. Lett. 107]
that governs pulse propagation in hollow-core photonic crystal fibers filled by
an ionizing gas. By using perturbative methods, we find that the
photoionization process induces the opposite phenomenon of the well-known Raman
self-frequency red-shift of solitons in solid-core glass fibers, as was
recently experimentally demonstrated [Hoelzer et al., Phys. Rev. Lett. 107].
This process is only limited by ionization losses, and leads to a constant
acceleration of solitons in the time domain with a continuous blue-shift in the
frequency domain. By applying the Gagnon-B\'{e}langer gauge transformation,
multi-peak `inverted gravity-like' solitary waves are predicted. We also
demonstrate that the pulse dynamics shows the ejection of solitons during
propagation in such fibers, analogous to what happens in conventional
solid-core fibers. Moreover, unconventional long-range non-local interactions
between temporally distant solitons, unique of gas plasma systems, are
predicted and studied. Finally, the effects of higher-order dispersion
coefficients and the shock operator on the pulse dynamics are investigated,
showing that the resonant radiation in the UV [Joly et al., Phys. Rev. Lett.
106] can be improved via plasma formation.Comment: 9 pages, 10 figure
Controlling pulse propagation in optical fibers through nonlinearity and dispersion management
In case of the nonlinear Schr\"odinger equation with designed group velocity
dispersion, variable nonlinearity and gain/loss; we analytically demonstrate
the phenomenon of chirp reversal crucial for pulse reproduction. Two different
scenarios are exhibited, where the pulses experience identical dispersion
profiles, but show entirely different propagation behavior. Exact expressions
for dynamical quasi-solitons and soliton bound-states relevant for fiber
communication are also exhibited.Comment: 4 pages, 5 eps figure
Modulational instability and solitons in excitonic semiconductor waveguides
Nonlinear light propagation in a single-mode micron-size waveguide made of
semiconducting excitonic material has been theoretically studied in terms of
exciton-polaritons by using an analysis based on macroscopic fields. When a
light pulse is spectrally centered in the vicinity of the ground-state Wannier
exciton resonance, it interacts with the medium nonlinearly. This optical cubic
nonlinearity is caused by the repulsive exciton-exciton interactions in the
semiconductor, and at resonance it is orders of magnitude larger than the Kerr
nonlinearity (e.g., in silica). We demonstrate that a very strong and
unconventional modulational instability takes place, which has not been
previously reported. After reducing the problem to a single nonlinear
Schr\"odinger-like equation, we also explore the formation of solitary waves
both inside and outside the polaritonic gap and find evidence of spectral
broadening. A realistic physical model of the excitonic waveguide structure is
proposed.Comment: 7 pages (2-column), 7 figure
Noise-induced perturbations of dispersion-managed solitons
We study noise-induced perturbations of dispersion-managed solitons by
developing soliton perturbation theory for the dispersion-managed nonlinear
Schroedinger (DMNLS) equation, which governs the long-term behavior of optical
fiber transmission systems and certain kinds of femtosecond lasers. We show
that the eigenmodes and generalized eigenmodes of the linearized DMNLS equation
around traveling-wave solutions can be generated from the invariances of the
DMNLS equations, we quantify the perturbation-induced parameter changes of the
solution in terms of the eigenmodes and the adjoint eigenmodes, and we obtain
evolution equations for the solution parameters. We then apply these results to
guide importance-sampled Monte-Carlo simulations and reconstruct the
probability density functions of the solution parameters under the effect of
noise.Comment: 12 pages, 6 figure
Formation of matter-wave soliton molecules
We propose a method of forming matter-wave soliton molecules that is inspired
by the recent experiment of Dris {\it et al.}. In the proposed set-up we show
that if two solitons are initially prepared in phase and with a sufficiently
small separation and relative velocity, a bound pair will always form. This is
verified by direct numerical simulation of the Gross-Pitaevskii equation and by
the derivation of the exact interaction energy of two solitons, which takes the
form of a Morse potential. This interaction potential depends not only on the
separation but also on the relative phase of the solitons and is essential for
an analytical treatment of a host of other problems, such as the soliton gas
and the Toda lattice of solitons.Comment: 4 pages, 3 figure
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