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By means of the variational method and numerical simulations, we demonstrate the existence of stable 3D nonlinear modes, viz. vortex ``bullets'', in the form of pulsed beams carrying orbital angular momentum, that can self-trap in a 2D…

The influence of coherent optical nonlinearities on polariton propagation effects is studied within a theory-experiment comparison. A novel approach that combines a microscopic treatment of the boundary problem in a sample of finite…

Other Condensed Matter · Physics 2009-11-11 S. Schumacher , G. Czycholl , F. Jahnke , I. Kudyk , L. Wischmeier , I. Rückmann , T. Voss , J. Gutowski , A. Gust , D. Hommel

We consider the integrable multicomponent coherently coupled nonlinear Schr\"odinger (CCNLS) equations describing simultaneous propagation of multiple fields in Kerr type nonlinear media. The correct bilinear equations of $m$-CCNLS…

Pattern Formation and Solitons · Physics 2011-07-26 T. Kanna , K. Sakkaravarthi

We develop one numerical method to compute the optical vortex soliton with self-defocusing Kerr-type nonlocal nonlinearity. With the numerical simulation method, the propagation and interaction properties of such optical vortex solitons are…

Optics · Physics 2008-12-02 Shigen Ouyang , Qi Guo

We develop a theory for non-planar interaction between two identical type I spatial solitons propagating at opposite, but arbitrary transverse angles in quadratic nonlinear (or so-called chi(2)) bulk media. We predict quantitatively the…

Pattern Formation and Solitons · Physics 2007-05-23 Steffen Kjaer Johansen , Ole Bang , Mads Peter Soerensen

We revisit the collisional dynamics of bright solitons in the coupled Nonlinear Schrodinger equation. We observe that apart from the intensity redistribution in the interaction of bright solitons, one also witnesses a rotation of the…

Other Condensed Matter · Physics 2015-06-16 R. Radha , P. S. Vinayagam , K. Porsezian

Collision of two solitons of the Manakov system is analytically studied. Existence of a complete polarization mode switching regime is proved and the parameters of solitons prepared for polarization switching are found.

solv-int · Physics 2007-05-23 V. S. Shchesnovich

We analyze theoretically the Schrodinger-Poisson equation in two transverse dimensions in the presence of a Kerr term. The model describes the nonlinear propagation of optical beams in thermooptical media and can be regarded as an analogue…

We theoretically study bright and dark solitons in an experimentally relevant hybrid system characterized by strong light-matter coupling. We find that the corresponding two-component model supports a variety of coexisting moving solitons…

Pattern Formation and Solitons · Physics 2022-10-11 A. V. Yulin , D. A. Zezyulin

Soliton molecules, bound states composed of interacting fundamental solitons, exhibit remarkable resemblance with chemical compounds and phenomena in quantum mechanics. Whereas optical molecules composed of two or more temporally locked…

Bright plane soliton solutions of an integrable (2+1) dimensional ($n+1$)-wave system are obtained by applying Hirota's bilinearization method. First, the soliton solutions of a 3-wave system consisting of two short wave components and one…

Exactly Solvable and Integrable Systems · Physics 2009-11-13 T. Kanna , M. Vijayajayanthi , K. Sakkaravarthi , M. Lakshmanan

We develop a coupled-mode theory for spatial gap solitons in the one-dimensional photonic lattices induced by interfering optical beams in a nonlinear photorefractive crystal. We derive a novel system of coupled-mode equations for two…

Pattern Formation and Solitons · Physics 2009-11-10 Boris A. Malomed , Elena A. Ostrovskaya , Yuri S. Kivshar

We demonstrate a robust, stable, mobile, two-dimensional (2D) spatial and three-dimensional (3D) spatiotemporal optical soliton in the core of an optical vortex, while all nonlinearities are of the cubic (Kerr) type. The 3D soliton can…

Pattern Formation and Solitons · Physics 2015-11-03 S. K. Adhikari

We study light propagation in waveguide arrays made in Kerr nonlinear media with a transverse refractive index gradient, and we find that the presence of the refractive index gradient leads to the appearance of a number of new soliton…

Clouds of cold neutral atoms driven by a coherent light beam in a ring cavity exhibit self-structured states transversely with respect to the beam axis due to optomechanical forces and the back action of the atomic structures on the beam.…

Atomic Physics · Physics 2022-03-02 Giuseppe Baio , Thorsten Ackemann , Gian-Luca Oppo , Gordon R. M. Robb , Alison M. Yao

Coupled solitary waves in optics literature, are coined vector solitons to reflect their particle-like nature that remains intact even after mutual collisions. They are born from a nonlinear change in the refractive index of an optical…

Optics · Physics 2022-06-23 Finn Buldt , Pascal Basséne , Moussa N'Gom

We consider soliton solutions of a two-dimensional nonlinear system with the self-focusing nonlinearity and a quasi-1D confining potential, taking harmonic potential as an example. We investigate a single soliton in detail and find…

Pattern Formation and Solitons · Physics 2015-05-13 Nguyen Viet Hung , Michal Matuszewski , Marek Trippenbach

The interaction of both scalar and counter-rotating polarized steady state pulses (SSP) is studied numerically for a medium characterized by nonlinear susceptibilities of the third and the fifth order (a cubic-quintic medium…

Exactly Solvable and Integrable Systems · Physics 2015-06-26 Sergei O. Elyutin

We analyze two-component spatial optical vortex solitons supported by parametric wave mixing processes in a nonlinear bulk medium. We study two distinct cases of such localised waves, namely, parametric vortex solitons due to phase-matched…

We use Hamiltonian ray tracing and phase-space representation to describe the propagation of a single spatial soliton and soliton collisions in a Kerr nonlinear medium. Hamiltonian ray tracing is applied using the iterative nonlinear beam…

Optics · Physics 2014-03-05 Hanhong Gao , Lei Tian , George Barbastathis