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In many physical applications solitons propagate on supports whose topological properties may induce new and interesting effects. In this paper, we investigate the propagation of solitons on chains with a topological inhomogeneity generated…

Pattern Formation and Solitons · Physics 2009-11-11 R. Burioni , D. Cassi , P. Sodano , A. Trombettoni , A. Vezzani

We study the propagation of solitons on complex chains built by inserting finite graphs at two sites of an unbranched chain. We compare numerical findings with the results of an analytical linear approximation scheme describing the…

Pattern Formation and Solitons · Physics 2007-05-23 R. Burioni , D. Cassi , P. Sodano , A. Trombettoni , A. Vezzani

We show theoretically that a photonic topological insulator can support edge solitons that are strongly self-localized and propagate unidirectionally along the lattice edge. The photonic topological insulator consists of a Floquet lattice…

Optics · Physics 2016-10-05 Daniel Leykam , Y. D. Chong

We study experimentally and theoretically discrete solitons in crystalline structures consisting of several tens of laser-cooled ions confined in a radiofrequency trap. Resonantly exciting localized, spectrally gapped vibrational modes of…

Quantum Physics · Physics 2017-10-18 J. Brox , P. Kiefer , M. Bujak , H. Landa , T. Schaetz

In this work, we study the propagation of solitons in lossy optical fibers. The main objective of this work is to study the loss of energy of the soliton wave during propagation and then to evaluate the impact of this loss on the…

Solitons are non-dispersing localized waves that occur in diverse physical settings. A variety of optical solitons have been observed, but versions that involve both spatial and temporal degrees of freedom are rare. Optical fibers designed…

Optics · Physics 2015-06-15 William H. Renninger , Frank W. Wise

Using a coupled parametric-resonator array for generating and propagating a topological soliton in its rotating-frame phase space is theoretically and numerically investigated. In an analogy with the well-known phi4 model, the existence of…

Pattern Formation and Solitons · Physics 2021-04-07 Hiroshi Yamaguchi , Samer Houri

One-dimensional models with topological non-trivial band structures are a simple and effective way to study novel and exciting concepts in topological photonics. In this work we are studying the propagation of light-matter quasi-particles,…

We develop a nonlinear theory of soliton-induced waveguides that describes a finite-amplitude probe beam guided by a spatial dark soliton in a saturable nonlinear medium. We suggest an effective way to control the interaction of these…

patt-sol · Physics 2009-10-31 Elena A. Ostrovskaya , Yuri S. Kivshar

In this paper, the regulating effect of guiding filters on the energies of solitons in wave-length division multiplexing (WDM) transmission systems is rigorously studied. More precisely, it is shown that guiding filters prevent the energies…

Pattern Formation and Solitons · Physics 2009-11-13 Shahram M. Shahruz

We review both theoretical and experimental advances in the recently emerged physics of modulated photonic lattices. Artificial periodic dielectric media, such as photonic crystals and photonic lattices, provide a powerful tool for the…

We reveal the existence of continuous families of guided single-mode solitons in planar waveguides with weakly nonlinear active core and absorbing boundaries. Stable propagation of TE and TM-polarized solitons is accompanied by attenuation…

Optics · Physics 2017-07-20 Bikashkali Midya , Vladimir V. Konotop

The concepts of topology provide a powerful tool to tailor the propagation and localization of light. While electromagnetic waves have only two polarization states, engineered degeneracies of photonic modes provide novel opportunities…

Nonlinear optical phenomena are typically local. Here we predict the possibility of highly nonlocal optical nonlinearities for light propagating in atomic media trapped near a nano-waveguide, where long-range interactions between the atoms…

Quantum Physics · Physics 2016-07-08 Ephraim Shahmoon , Pjotrs Grisins , Hans Peter Stimming , Igor Mazets , Gershon Kurizki

Recently, optical soliton propagation in an intrinsic nonlinear graphene monolayer configuration has been discovered. However, optical soliton behavior in a free-standing graphene monolayer with defects has not yet been studied. The…

Quantum Physics · Physics 2013-11-25 Frederick Ira Moxley , Tim Byrnes , Adarsh Radadia , Weizhong Dai

Optical solitons are self-sustained wave packets that propagate without distortion due to a balance between dispersion and nonlinearity. Their unique stability underpins key photonic applications while also playing a central role in…

Pattern Formation and Solitons · Physics 2025-12-04 François Copie , Pierre Suret , Stéphane Randoux

It has been observed that certain classical chains admit topologically protected zero-energy modes that are localized on the boundaries. The static features of such localized modes are captured by linearized equations of motion, but the…

Soft Condensed Matter · Physics 2018-07-18 Koji Sato , Ryokichi Tanaka

We consider the ultrashort light pulse propagation through an inhomogeneous monomodal optical fiber exhibiting higher-order dispersive effects. Wave propagation is governed by a generalized nonlinear Schr\"{o}dinger equation with varying…

Pattern Formation and Solitons · Physics 2020-05-06 Houria Triki , Vladimir I. Kruglov

The possibility of tailoring the guidance properties of optical fibers along the same direction as the evolution of the optical field allows to explore new directions in nonlinear fiber optics. The new degree of freedom offered by…

Pattern Formation and Solitons · Physics 2017-10-16 A. Kudlinski , A. Mussot , M. Conforti , D. V. Skryabin

We describe wave propagation and soliton localization in photonic lattices which are induced in a nonlinear medium by an optical interference pattern, taking into account the inherent lattice deformations at the soliton location. We obtain…

Pattern Formation and Solitons · Physics 2007-05-23 Andrey A. Sukhorukov
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