http://ieeexplore.ieee.org/iel5/3/23015/01070639.pdf

Laser handbook

Optical Solitons From Fibers To Photonic Crystals

We present a novel theory of surface plasmon polariton interaction on the surface of dielectric with saturable Kerr nonlinearity. The effect of the total internal reflection of a weak signal plasmon beam from a high-power reference beam is discussed. Both ray and wave theories are used to describe signal propagation. The effect of the signal tunneling through the narrow inhomogeneity induced by the reference beam is considered.

Plasmon beams interaction at interface between metal and dielectric with saturable Kerr nonlinearity

This article offers a review of results for solitons in 2D and 3D models of nonlinear dissipative media. The existence of such solitons requires to maintain two balances: between nonlinear self-focusing and linear diffraction and/or dispersion, and between loss and gain. Due to these conditions, dissipative solitons (DSs) exist not in families, but as isolated solutions. The main issue is stability of 2D and 3D DSs, especially vortical ones. First, stable 2D DSs are presented in the framework of the complex Ginzburg-Landau equation with the cubic-quintic (CQ) nonlinearity, which combines linear and quintic loss with cubic gain. In addition to fundamental (zero-vorticity) DSs, stable spiral DSs are presented too, with vorticities 1 and 2. Stable 2D solitons were also found in a system of two linearly-coupled fields, with linear gain acting in one and linear loss in the other. In this case, the cubic loss (without quintic terms) is sufficient for the stability of fundamental and vortex DSs. In addition to truly localized states, weakly localized ones are presented too, in a model with nonlinear loss without explicit gain, the losses being compensated by influx of power from infinity. Other classes of 2D models which are considered here use spatially modulated loss or gain to predict many species of robust DSs, including ones featuring complex periodically recurring metamorphoses. Stable fundamental and vortex solitons are also produced by models with a trapping or spatially periodic potential. In the latter case, 2D gap DSs are considered. Further, 2D dissipative models with spin-orbit coupling give rise to stable semi-vortices, with vorticity carried by one component. Along with the 2D solitons, the review includes 3D fundamental and vortex DSs, stabilized by the CQ nonlinearity and/or external potentials, and collisions between them. 

/pdf/multidimensional-dissipative-solitons-and-solitary-vortices-2rhii6qx.pdf

Multidimensional dissipative solitons and solitary vortices

The collision of the two surface plasmon polariton pulses at the interface between a metal and a dielectric with cubic nonlinearity is investigated. We reveal the possibility of the reflection of a weak signal surface plasmon from the strong pump plasmon pulse resulting in the time delay and spectral shift in the signal plasmon pulse. Using such an interaction, one can control the propagation dynamics of the signal pulse via the modulation of the intensity of the pump pulse.

https://istina.msu.ru/media/publications/article/5f0/adb/6520847/Femtosecond-pulse_control_in_nonlinear_plasmonic_systems.pdf

Femtosecond-pulse control in nonlinear plasmonic systems

The features of the reflection of optical beams in the media with a defocusing thermal nonlinearity are analyzed. The dependence of the angle of the nonlinear total reflection on the power of the pump wave and the initial distance between the beams is determined. The reflection effects are studied for the interaction of the green (24 mW) and red (0.7 mW) laser beams that intersect at a relatively small angle (about 0.01 rad) in a 5-cm-long cuvette with the stained alcohol. The theoretical results are in good agreement with the experimental data.

Nonlinear Reflection of Optical Beams in the Media with a Thermal Nonlinearity

In this paper we concentrate on the remarkable role of a gradient waveguide in two-color light bullet formation. We study generation of the second harmonic in such an inhomogeneous nonlinear medium, taking into account diffraction and relatively weak temporal dispersion. Using the averaged Lagrangian method we consider all possible combinations of the range of group velocities (normal or anomalous dispersion) and waveguide geometry (focusing or defocusing waveguide). Stability conditions for a propagating two-color light bullet are derived analytically. We demonstrate the formation of a stable two-component light bullet in a parabolic planar quadratically nonlinear waveguide either at anomalous or at normal group velocity dispersion. We discuss also the results of numerical simulation confirming our analytical findings. Besides that, simulation allows us to expand the scope of the study and to show light bullet propagation at a certain phase mismatching and the formation of a stable coupled localized structure from a signal at the fundamental frequency as well.

Regimes of two-color light bullet formation in a gradient waveguide

In this paper we consider the process of the second harmonic generation in a gradient waveguide, taking into account diffraction and relatively weak temporal dispersion. Using the slowly varying envelope approximation and neglecting the dispersion of the nonlinear part of the response of the medium we obtain the system of parabolic equations for the envelopes of both harmonics. We also derive integrals of motion of this system. To solve it numerically we construct a nonlinear finite-difference scheme based on the Crank-Nicolson method preserving the integrals. Primarily, we focus our investigations on the processes of a two-component light bullets generation. We demonstrate that the generation of a coupled pair is possible in a planar waveguide even at normal group velocity dispersion.

/pdf/trapping-of-two-component-light-bullets-in-a-gradient-35bnn9r0qt.pdf

Trapping of two-component light bullets in a gradient waveguide with normal group dispersion.

We consider the effect of tunneling of optical beams through a narrow induced inhomogeneity in a refractive index. It is shown that under the condition of total internal reflection from the induced channel, part of the signal beam leaks if the channel is narrow. Dependence of the pump beam width at which the tunneling of half signal power occurs is found as a function of the pump intensity and the angle of beam crossing.

/pdf/tunneling-of-optical-beams-through-inhomogeneity-of-a-2brscne39d.pdf

Tunneling of optical beams through inhomogeneity of a refractive index

We consider settings providing the existence of stable two-dimensional (2D) dissipative solitons with zero and nonzero vorticity in optical media with the quadratic (   2  ) nonlinearity. To compensate the spatially uniform loss in both the fundamental-frequency (FF) and secondharmonic (SH) components of the system, a strongly localized amplifying region (“hot spot”, HS), carrying the linear gain, is included, acting onto either the FF component or SH one. In both cases, the Gaussian radial gain profile supports stable fundamental dissipative solitons pinned to the HS. The structure of existence and stability domains for the 2D solitons is rather complex. They demonstrate noteworthy features, such as bistability and spontaneous symmetry breaking. A ring-shaped gain profile acting onto the FF component supports stable vortex solitons, with the winding number up to 5, and multipoles. Nontrivial transformation of vortex-soliton profiles upon either growth of the gain value or stretching the gain profile is observed. © 2021 The Authors

A. A. Kalinovich

Papers

Nonlinear Reflection of Optical Beams in the Media with a Thermal Nonlinearity

Regimes of two-color light bullet formation in a gradient waveguide

Trapping of two-component light bullets in a gradient waveguide with normal group dispersion.

Tunneling of optical beams through inhomogeneity of a refractive index

Fundamental and vortex dissipative quadratic solitons supported by spatially localized gain