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We study the spontaneous temporal symmetry breaking instability in a coherently-driven passive optical Kerr resonator observed experimentally by Xu and Coen in Opt.~Lett.~{\bf 39}, 3492 (2014). We perform a detailed stability analysis of…

Pattern Formation and Solitons · Physics 2016-11-23 J. Rossi , R. Carretero-Gonzalez , P. G. Kevrekidis , M. Haragus

Pulsed driving of Kerr microresonators represents a promising avenue for the efficient generation of soliton states associated with coherent optical frequency combs. The underlying physics has not, however, yet been comprehensively…

The observation of temporal dissipative Kerr solitons in optical microresonators provides, on the applied side, compact sources of coherent optical frequency combs that have already been applied in coherent communications, dual comb…

We present theoretical and experimental evidence of a universal mechanism through which temporal cavity solitons of externally-driven, passive, Kerr resonators can form robust long-range bound states. These bound states, sometime also…

We present a stability analysis of the Lugiato-Lefever model for Kerr optical frequency combs in whispering gallery mode resonators pumped in the anomalous dispersion regime. This article is the second part of a research work whose first…

Pattern Formation and Solitons · Physics 2013-08-13 Irina Balakireva , Aurélien Coillet , Cyril Godey , Yanne K. Chembo

The repetition rate of a Kerr comb comprising a single soliton in an anomalous dispersion silicon nitride microcavity is measured as a function of pump frequency tuning. The contributions from the Raman soliton self-frequency shift (SSFS)…

We report on a systematic study of temporal Kerr cavity soliton dynamics in the presence of pulsed or amplitude modulated driving fields. In stark contrast to the more extensively studied case of phase modulations, we find that Kerr cavity…

Temporal Kerr cavity solitons are pulses of light that can persist in coherently-driven, dispersive resonators with Kerr-type nonlinearity. It is widely accepted that such solitons react to parameter inhomogeneities by experiencing a…

We report on the experimental and numerical observations of synchronisation and desynchronisation of bound states of multiple breathing solitons (breathing soliton molecules) in an ultrafast fibre laser. In the desynchronisation regime,…

Optics · Physics 2023-12-05 Xiuqi Wu , Junsong Peng , Sonia Boscolo , Christophe Finot , Heping Zeng

We study the appearance of a novel phenomenon for linearly coupled identical bursters: synchronized bursts where there are changes of spike synchrony within each burst. The examples we study are for normal form elliptic bursters where there…

Dynamical Systems · Mathematics 2015-05-13 Abul kalam al Azad , Peter Ashwin

In Ref. [Parra-Rivas at al., 2013], using the Swift-Hohenberg equation, we introduced a mechanism that allows to generate oscillatory and excitable soliton dynamics. This mechanism was based on a competition between a pinning force at…

Optics · Physics 2017-02-01 P. Parra-Rivas , D. Gomila , M. A. Matías , P. Colet , L. Gelens

We investigate the spatio-temporal dynamics of a ring cavity filled with a non-instantaneous Kerr medium and driven by a coherent injected beam. We show the existence of a stable mixed-mode solution that can be either extended or localized…

Pattern Formation and Solitons · Physics 2017-04-05 M. Ouali , S. Coulibaly , M. Taki , M. Tlidi

We theoretically investigate how phase modulation alters the dynamics of temporal localized structures (TLSs) in vertically emitting Kerr micro-cavities under detuned optical injection operating in the normal dispersion regime. We show that…

Pattern Formation and Solitons · Physics 2026-03-18 Marc Hunkemöller , Thomas G. Seidel , Julien Javaloyes , Svetlana V. Gurevich

Temporal-dissipative Kerr solitons are self-localized light pulses sustained in driven nonlinear optical resonators. Their realization in microresonators has enabled compact sources of coherent optical frequency combs as well as the study…

The two-phonon decay of self-localized soliton in a one-dimensional monatomic anharmonic lattice caused by cubic anharmonicity is considered. It is shown that the decay takes place with emission of phonon bursts. The average rate of…

Condensed Matter · Physics 2009-10-30 V. Hizhnyakov , D. Nevedrov

Dipoles interference is studied when atomic systems are coupled to classical electromagnetic fields. The interaction between the dipoles and the classical fields induces a time-varying Aharonov-Casher phase. Averaging over the phase…

Quantum Physics · Physics 2015-06-26 Fernando C. Lombardo , Francisco D. Mazzitelli , Paula I. Villar

We study the stability and bifurcation structure of spatially extended patterns arising in nonlin- ear optical resonators with a Kerr-type nonlinearity and anomalous group velocity dispersion, as described by the Lugiato-Lefever equation.…

Pattern Formation and Solitons · Physics 2018-10-24 P. Parra-Rivas , D. Gomila , L. Gelens , E. Knobloch

We investigate synchronization of coupled organ pipes. Synchronization and reflection in the organ lead to undesired weakening of the sound in special cases. Recent experiments have shown that sound interaction is highly complex and…

Adaptation and Self-Organizing Systems · Physics 2018-03-14 Jakub Sawicki , Markus Abel , Eckehard Schöll

The mechanism of phase synchronization between uncoupled limit-cycle oscillators induced by common external impulsive forcing is analyzed. By reducing the dynamics of the oscillator to a random phase map, it is shown that phase…

Adaptation and Self-Organizing Systems · Physics 2007-06-13 H. Nakao , K. Arai , K. Nagai , Y. Tsubo , Y. Kuramoto

We consider an optical resonator containing a photonic crystal fiber and driven coherently by an injected beam. This device is described by a generalized Lugiato-Lefever equation with fourth order dispersion. We use an asymptotic approach…

Optics · Physics 2021-06-09 Andrei G. Vladimirov , Mustapha Tlidi , Majid Taki
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