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We describe nonlinear Bessel vortex beams as localized and stationary solutions with embedded vorticity to the nonlinear Schr\"odinger equation with a dissipative term that accounts for the multi-photon absorption processes taking place at…

Optics · Physics 2017-02-24 Miguel A. Porras , Carlos Ruiz-Jiménez , Márcio Carvalho

Dark solitons and localized defect modes against periodic backgrounds are considered in arrays of waveguides with defocusing Kerr nonlinearity constituting a nonlinear lattice. Bright defect modes are supported by local increase of the…

Pattern Formation and Solitons · Physics 2021-11-02 Liangwei Zeng , Vladimir V. Konotop , Xiaowei Lu , Yi Cai , Qifan Zhu , Jingzhen Li

We investigate the formation of dark vector localized structures in the presence of nonlinear polarization mode coupling in optical resonators subject to a coherent optical injection in the normal dispersion regime. This simple device is…

Pattern Formation and Solitons · Physics 2021-12-08 B. Kostet , Y. Soupart , K. Panajotov , M. Tlidi

Existence, stability and dynamics of soliton complexes, centered at the site of a single transverse link connecting two parallel 2D (two-dimensional) lattices, are investigated. The system with the on-site cubic self-focusing nonlinearity…

Pattern Formation and Solitons · Physics 2015-05-28 M. D. Petrovic , G. Gligoric , A. Maluckov , Lj. Hadzievski , B. A. Malomed

Spatial Kerr solitons, typically associated with the standard paraxial nonlinear Schroedinger equation, are shown to exist to all nonparaxial orders, as exact solutions of Maxwell's equations in the presence of vectorial Kerr effect. More…

Optics · Physics 2009-11-10 Alessandro Ciattoni , Bruno Crosignani , Paolo Di Porto , Amnon Yariv

We present two complementary models to study stationary nonlinear solutions in one-dimensional plasmonic slot waveguides made of a finite-thickness nonlinear dielectric core surrounded by metal regions. The considered nonlinearity is of…

Optics · Physics 2016-01-20 Wiktor Walasik , Gilles Renversez

Near-soliton scanning light-beam propagation in media with both delayed-response Kerr-type and thermal nonlinearities is analyzed. The delayed-response part of the Kerr nonlinearity is shown to be competitive as compared to the thermal…

solv-int · Physics 2009-10-28 Evgeny V. Doktorov , Rafael A. Vlasov

Metasurfaces are a powerful tool for manipulating light using small structures on the nanoscale. In most meta-surfaces, near-field couplings are treated as unfavorable perturbations. Here, we experimentally investigate a structure…

We investigate the focusing characteristics of scalar and vector beams within an atomic medium. An active-Raman-gain configuration is employed to achieve significant Kerr nonlinearity in a four-state atomic system. The probe beams can…

Optics · Physics 2025-09-17 Partha Das , Tarak Nath Dey

Two distinct models are developed to investigate the transverse magnetic stationary solutions propagating in one-dimensional anisotropic nonlinear plasmonic structures made from a nonlinear metamaterial core of Kerr-type embedded between…

Optics · Physics 2018-01-15 Mahmoud M. R. Elsawy , Gilles Renversez

The properties of vector vortex beams in vertical-cavity-surface emitting lasers with frequency-selective feedback is investigated. They are interpreted as high-order vortex solitons with a spatially non-uniform, but locally linear…

Pattern Formation and Solitons · Physics 2022-10-27 T. Ackemann , T. Guillet , H. Pulham , G. -L. Oppo

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

States of light encoding multiple polarizations - vector beams - offer unique capabilities in metrology and communication. However, their practical application is limited by the lack of methods for measuring many polarizations in a scalable…

Optics · Physics 2022-09-13 Davide Pierangeli , Claudio Conti

We study nonlinear modes of dual-core photonic crystal fiber couplers made of a material with the focusing Kerr nonlinearity. We find numerically the profiles of symmetric, antisymmetric, and asymmetric nonlinear modes, and analyze…

Pattern Formation and Solitons · Physics 2009-11-11 Jose R. Salgueiro , Yuri S. Kivshar

We analytically study plasma solitary waves, or solitons, in a two-dimensional (2D) electron system (ES) placed in close proximity to and between two ideal metallic gates. As a rule, solitons are described using a perturbative approach…

Mesoscale and Nanoscale Physics · Physics 2022-05-20 A. A. Zabolotnykh

We apply the method of slowly-varying amplitudes of the electrical and magnet fields to integro-differential system of nonlinear Maxwell equations. The equations are reduced to system of differential Nonlinear Maxwell amplitude Equations…

Pattern Formation and Solitons · Physics 2007-05-23 Lubomir M. Kovachev

We predict the existence of a novel class of multidimensional light localizations in out-of-equilibrium ferroelectric crystals. In two dimensions, the non-diffracting beams form at arbitrary low power level and propagate even when their…

Optics · Physics 2013-05-29 Claudio Conti , Aharon J. Agranat , Eugenio DelRe

Bright and dark solitons of the cubic nonlinear Schrodinger equation are used to construct complex-valued potentials with all-real spectrum. The real part of these potentials is equal to the intensity of a bright soliton while their…

Pattern Formation and Solitons · Physics 2023-04-13 Oscar Rosas-Ortiz , Sara Cruz y Cruz

Structured light harnessing multiple degrees of freedom has become a powerful approach to use complex states of light in fundamental studies and applications. Here, we investigate the light field of an ultrafast laser beam with a…

The origin of the Kerr type nonlinearity of the medium as a result of the interaction between photons via the Dirac delta-potential is presented in the formalism adopted from the photon wave function approach. In the view of the result the…

Optics · Physics 2007-05-23 Jaroslaw Zalesny
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