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In this paper, we carry out a theoretical investigation on the propagation of spatio-temporal solitons (light bullets) in the nonlinear metamaterial waveguides. Our theoretical study is based on the formulation of Lagrangian variational…

光学 · 物理学 2022-03-08 A. K. Shafeeque Ali , A. Govindarajan , M. Lakshmanan

We predict that stable mobile spatio-temporal solitons can exist in arrays of periodically curved optical waveguides. We find two-dimensional light bullets in one-dimensional arrays with harmonic waveguide bending and three-dimensional…

光学 · 物理学 2011-09-02 Michal Matuszewski , Ivan L. Garanovich , Andrey A. Sukhorukov

Using the numerical solution of the nonlinear Schr\"odinger equation and a variational method it is shown that (3+1)-dimensional spatiotemporal optical solitons, known as light bullets, can be stabilized in a layered Kerr medium with…

斑图形成与孤子 · 物理学 2009-11-10 Sadhan K. Adhikari

We demonstrate a possibility to stabilize three-dimensional spatiotemporal solitons ("light bullets") in self--focusing Kerr media by means of a combination of dispersion management in the longitudinal direction (with the group-velocity…

光学 · 物理学 2007-05-23 M. Matuszewski , E. Infeld , B. A. Malomed , M. Trippenbach

We study, both theoretically and experimentally, the scattering properties of optical dipole-mode vector solitons - radially asymmetric composite self-trapped optical beams. First, we analyze the soliton collisions in an isotropic…

Vortex solitons (dark solitons) are described in self-defocusing Kerr media whose phase line singularity is not parallel to the propagation direction, but is perpendicular or tilted almost arbitrary angles, depending on the medium linear…

光学 · 物理学 2022-01-05 Miguel A. Porras

We study composite spatial optical solitons supported by two-wave mutual focusing induced by cross-phase modulation in Kerr-like nonlinear media. We find the families of both single- and two-hump solitons and discuss their properties and…

斑图形成与孤子 · 物理学 2009-04-01 Jose R. Salgueiro , Andrey A. Sukhorukov , Yuri S. Kivshar

We study collisions of moving nonlinear-Schr\"{o}dinger solitons with a $\mathcal{PT}$-symmetric dipole embedded into the one-dimensional self-focusing or defocusing medium. Accurate analytical results are produced for bright solitons, and,…

斑图形成与孤子 · 物理学 2016-11-03 N. Karjanto , W. Hanif , B. A. Malomed , H. Susanto

The light ray of a spatial soliton in an optical film whose refractive index is smoothly modulated (wavelength much larger than the typical soliton width) in both spatial directions is shown to possess chaotic regimes for which the…

斑图形成与孤子 · 物理学 2015-05-14 Ramaz Khomeriki , Jerome Leon

Within the curl-curl type vector equation describing a monochromatic light wave in a focusing Kerr medium, the transverse structure of extremely narrow, linearly polarized self-focused optical beams is found numerically with a high…

光学 · 物理学 2026-02-10 Victor P. Ruban

A system of equations has been proposed for a monochromatic weakly nonlinear light wave in a Kerr medium. This system is equivalent up to the third order in electric field to the known equation $\mbox{curl}\,\mbox{curl}\, {\bf E}=k_0^2[{\bf…

光学 · 物理学 2025-01-20 Victor P. Ruban

We predict the existence of a new type of spatiotemporal solitons ("light bullets") in two-dimensional self-induced-transparency media with refractive index modulation in the direction transverse to that of pulse propagation. These…

斑图形成与孤子 · 物理学 2009-10-31 M. Blaauboer , G. Kurizki , B. A. Malomed

For the nonlinear vector curl-curl equation describing a monochromatic light wave in a Kerr medium, an exact reduction is suggested which results in a system of four ordinary differential equations, of the first order each, for functions of…

光学 · 物理学 2025-01-09 Victor P. Ruban , Roman V. Ruban

Optical soliton molecules are bound states of solitons that arise from the balance between attractive and repulsive effects. Having been observed in systems ranging from optical fibers to mode-locked lasers, they provide insights into the…

We consider solitons in a nonlinear optical fiber with a single polarization in a region of parameters where it carries exactly two distinct modes, the fundamental one and the first-order helical mode. From the viewpoint of applications to…

斑图形成与孤子 · 物理学 2009-10-31 Boris Malomed , G. D. Peng , P. L. Chu

A new type of long-lived solitary structures for paraxial optics with two circular polarizations of light in a homogeneous defocusing Kerr medium with an anomalous group velocity dispersion has been revealed numerically in the coupled…

光学 · 物理学 2023-05-31 Victor P. Ruban

In quantum electrodynamics, photon--photon scattering can be the result of the exchange of virtual electron--positron pairs. Effectively, this gives rise to self-interaction terms in Maxwell's equations, similar to the nonlinearities due to…

光学 · 物理学 2009-11-07 G. Brodin , L. Stenflo , D. Anderson , M. Lisak , M. Marklund , P. Johannisson

We theoretically investigate collision of optical beams travelling in opposite directions through a centrosymmetric photorefractive crystal biased by a spatially non-uniform voltage. We analytically predict the fusion of counterpropagating…

光学 · 物理学 2015-05-13 A. Ciattoni , A. Marini , C. Rizza , E. DelRe

We consider parametric amplification of two-dimensional spatial soliton swinging in longitudinally modulated harmonic and Bessel lattices in Kerr-type saturable medium. We show that soliton center oscillations along different axes in…

光学 · 物理学 2009-11-11 Yaroslav V. Kartashov , Victor A. Vysloukh , Lluis Torner

We consider the interactions of two identical, orthogonally polarized vector solitons in a nonlinear optical fiber with two polarization directions, described by a coupled pair of nonlinear Schroedinger equations. We study a low-dimensional…

斑图形成与孤子 · 物理学 2009-11-11 Roy H. Goodman , Richard Haberman
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