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Self-similar propagation of ultrashort, parabolic pulses in a laser resonator is observed theoretically and experimentally. This constitutes a new type of pulse-shaping in modelocked lasers: in contrast to the well-known static…

Optics · Physics 2009-11-10 F. O. Ilday , J. R. Buckley , F. W. Wise , W. G. Clark

We numerically demonstrate the formation of the spatiotemporal version of the so-called diffractive resonant radiation generated in waveguide arrays with Kerr nonlinearity when a long pulse is launched into the system. The phase matching…

Optics · Physics 2013-06-03 Truong X. Tran , Fabio Biancalana

It is studied the bright spatial solitons in nonlocal defocusing Kerr media with parity-time (PT) symmetric potentials. We find that these solitons can exist and be stable over a different range of potential parameters. The influence of the…

Optics · Physics 2015-05-30 Zhiwei Shi , Huagang Li , Xing Zhu , Xiujuan Jiang

We study the dynamics and stability of soliton optical frequency comb generation in a dissipative, coherently pumped cavity with both second and third-order nonlinearity. Cavity sweep simulations and linear stability analysis based on path…

Temporal Localized States (TLSs) are individually addressable structures traveling in optical resonators. They can be used as bits of information and to generate frequency combs with tunable spectral density. We show that a pair of…

We report on experimental observation of localized structures in two mutually coupled broad-areahttp://hal.archives-ouvertes.fr/images/calendar.gif semiconductor resonators. These structures coexist with a dark homogeneous background and…

We analyze the stability and dynamics of dissipative Kerr solitons in the presence of a parabolic potential. This potential stabilizes oscillatory and chaotic regimes, favoring the generation of static DKSs. Furthermore, the potential…

We theoretically investigate the dynamics, bifurcation structure and stability of localized states in Kerr cavities driven at the pure fourth-order dispersion point. Both the normal and anomalous group velocity dispersion regimes are…

In this work, we present a detailed study of the dynamics and stability of fundamental spatiotemporal solitons emerging in multimode waveguides with a parabolic transverse profile of the linear refractive index. Pulsed beam propagation in…

Pattern Formation and Solitons · Physics 2023-08-16 Pedro Parra-Rivas , Yifan Sun , Stefan Wabnitz

We introduce a two-dimensional (2D) system, which can be implemented in dual-core planar optical couplers with the Kerr nonlinearity in its cores, making it possible to blend effects of the PT symmetry, represented by the balanced linear…

Optics · Physics 2016-11-23 Hidetsugu Sakaguchi , Boris A. Malomed

Parametrically driven solitons are self-trapped modes in various physical settings, including optics, magnetics, etc. So far, the analysis was focused on the existence, stability, and dynamics of such solitons in systems including the…

We experimentally observe a spontaneous temporal symmetry breaking instability in a coherently-driven passive optical Kerr resonator. The cavity is synchronously pumped by time-symmetric pulses yet we report output pulses with strongly…

Optics · Physics 2014-06-10 Yiqing Xu , Stephane Coen

We describe experiments testing the existence and investigating the properties of spatial solitons in nonlinear resonators. We investigate the properties of stationary and moving spatial solitons in lasers with saturable absorber, with a…

Pattern Formation and Solitons · Physics 2007-05-23 C. O. Weiss , G. Slekys , V. B. Taranenko , K. Staliunas , R. Kuszelewicz

The ranges of existence and stability of dark cavity-soliton stationary states in a Fabry-Perot resonator with a Kerr nonlinear medium, vectorial polarization components and normal dispersion are determined. The Fabry-Perot configuration…

Optics · Physics 2025-09-23 Graeme N. Campbell , Lewis Hill , Pascal Del Haye , Gian Luca Oppo

Solitons are shape preserving waveforms that are ubiquitous across nonlinear dynamical systems and fall into two separate classes, that of bright solitons, formed in the anomalous group velocity dispersion regime, and `dark solitons' in the…

Dissipative Kerr soliton microcomb has been recognized as a promising on-chip multi-wavelength laser source for fiber optical communications, as its comb lines possess frequency and phase stability far beyond independent lasers. In the…

Signal Processing · Electrical Eng. & Systems 2021-01-05 Yong Geng , Heng Zhou , Wenwen Cui , Xinjie Han , Qiang Zhang , Boyuan Liu , Guangwei Deng , Qiang Zhou , Kun Qiu

A double-layer Kerr resonator in which both coupled modes are excited and interact with each other via incoherent cross-phase modulation is investigated to reveal stable localized solutions beyond the usual formation mechanism involving a…

Optics · Physics 2016-12-19 Antoine Bois , Joyce K. S. Poon

We study spatial vector solitons in a photonic crystal fiber (PCF) made of a material with the focusing Kerr nonlinearity. We show that such two-component localized nonlinear waves consist of two mutually trapped components confined by the…

Pattern Formation and Solitons · Physics 2007-05-23 Jose R. Salgueiro , Yuri S. Kivshar , Dmitry E. Pelinovsky , Veronica Simon , Humberto Michinel

Fiber Kerr resonators are simple driven resonators with desirable wavelength and repetition rate flexibility for generating ultrashort pulses for applications including telecommunications, biomedicine, and materials processing. However,…

Optics · Physics 2022-09-07 Xue Dong , Zhiqiang Wang , William H. Renninger

We analyze the formation of three-dimensional spatiotemporal solitons in waveguides with a parabolic refractive index profile and pure quartic chromatic dispersion. We show, by applying both variational approaches and full three-dimensional…

Pattern Formation and Solitons · Physics 2023-06-12 Pedro Parra-Rivas , Yifan Sun , Fabio Mangini , Mario Ferraro , Mario Zitelli , Stefan Wabnitz
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