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Optical frequency combs in microresonators (microcombs) have a wide range of applications in science and technology, due to its compact size and access to considerably larger comb spacing. Despite recent successes, the problems of…

A model including two nonlinear chains with linear and nonlinear couplings between them, and opposite signs of the discrete diffraction inside the chains, is introduced. For [$\chi ^{(3)}$] nonlinearity, the model finds two different…

Pattern Formation and Solitons · Physics 2009-11-10 P. G. Kevrekidis , B. A. Malomed , Z. Musslimani

Ultrafast transient phenomena are the most important research field in nonlinear systems, and the mode-locking fiber laser provides an excellent research platform for ultrafast transient phenomena. We report on the experimental observation…

Optics · Physics 2019-05-08 Xueming Liu , Xiaoxiang Han , Yusheng Zhang

The dynamics of two-component solitons with a small spatial displacement of the high-frequency (HF) component relative to the low-frequency (LF) one is investigated in the framework of the Zakharov-type system. In this system, the evolution…

Pattern Formation and Solitons · Physics 2018-12-05 L. G. Blyakhman , E. M. Gromov , B. A. Malomed , V. V. Tyutin

We investigate, numerically and experimentally, the effect of thermo-optical (TO) chaos on direct soliton generation (DSG) in microresonators. When the pump laser is scanned from blue to red and then stopped at a fixed wavelength, we find…

We investigate frequency comb generation in the presence of polarization effects induced by nonlinear mode coupling in microresonator devices. A set of coupled temporal Lugiato-Lefever equations are derived to model the propagation…

Optics · Physics 2018-03-26 T. Hansson , M. Bernard , S. Wabnitz

We investigate theoretically frequency comb generation in a bottle microresonator accounting for the azimuthal and axial degrees of freedom. We first identify a discrete set of the axial nonlinear modes of a bottle microresonator that…

Optics · Physics 2018-07-04 Y. V. Kartashov , M. L. Gorodetsky , A. Kudlinski , D. V. Skryabin

We present a theory of the frequency comb generation in the high-Q ring microresonators with quadratic nonlinearity and normal dispersion and demonstrate that the naturally large difference of the repetition rates at the fundamental and 2nd…

Optics · Physics 2021-07-21 D. N. Puzyrev , V. V. Pankratov , A. Villois , D. V. Skryabin

We introduce a new concept for stable spatial soliton formation, mediated by the competition between self-bending induced by a strongly asymmetric nonlocal nonlinearity and spatially localized gain superimposed on a wide pedestal with…

Solitons are universal nonlinear excitations that appear in settings as varied as optics, water waves, and quantum gases [1-5]. While reduced models of soliton dynamics are well established, their validity and dynamical behaviour in…

We construct families of one-dimensional (1D) stable solitons in two-component $\mathcal{PT}$-symmetric systems with spin-orbit coupling (SOC) and quintic nonlinearity, which plays the critical role in 1D setups. The system models light…

Optics · Physics 2022-03-02 Gennadiy Burlak , Zhaopin Chen , Boris A. Malomed

We investigate the formation, stability, and dynamics of solitons in a one-dimensional binary Bose-Einstein condensate under the action of the spin-orbit-coupling (SOC) and Lee-Huang-Yang (LHY) correction to the underlying system of the…

Quantum Gases · Physics 2025-08-15 Gui-hua Chen , Hongcheng Wang , Boris A. Malomed , Haiming Deng , Yongyao Li

Investigations of frequency combs in $\chi^{(3)}$ optical microresonators are burgeoning nowadays. Changeover to $\chi^{(2)}$ resonators promises further advances and brings new challenges. Here, the comb generation entails not only coupled…

Optics · Physics 2020-07-15 Sergey Smirnov , Boris Sturman , Evgeny Podivilov , Ingo Breunig

Light states relevant to the $\chi^{(2)}$ comb generation in optical microresonators possess typically dual backgrounds for coupled first-harmonic (FH) and second-harmonic (SH) envelopes. Stability and/or instability of these backgrounds is…

Optics · Physics 2021-12-23 Boris Sturman , Evgeny Podivilov , Jan Szabados , Ingo Breunig

Solitons, the distinct balance between nonlinearity and dispersion, provide a route toward ultrafast electromagnetic pulse shaping, high-harmonic generation, real-time image processing, and RF photonic communications. Here we newly explore…

Pattern Formation and Solitons · Physics 2024-07-16 Futai Hu , Abhinav Kumar Vinod , Wenting Wang , Hsiao-Hsuan Chin , James F. McMillan , Ziyu Zhan , Yuan Meng , Mali Gong , Chee Wei Wong

We demonstrate that the fission of higher-order N-solitons with a subsequent ejection of fundamental quasi-solitons creates solitonic cavities, formed by a pair of solitons with dispersive light trapped between them. As a result of multiple…

Optics · Physics 2016-12-21 R. Driben , A. V. Yulin , A. Efimov , B. A Malomed

Soliton optical frequency combs have become key enablers for a wide range of applications, including telecommunications, optical atomic clocks, ultrafast distance measurements, dual-comb spectroscopy, and astrophysical spectrometer…

Solitons are self-sustained wavepackets that occur in many physical systems. Their recent demonstration in optical microresonators has provided a new platform for study of nonlinear optical physics with practical implications for…

Optics · Physics 2018-10-24 Xu Yi , Qi-Fan Yang , Ki Youl Yang , Kerry Vahala

We unveil the dynamical formation of multiple localized structures in the form of dark-bright and dark-antidark solitary waves that emerge upon quenching a one-dimensional particle-imbalanced Bose-Bose mixture. Interspecies interaction…

Quantum Gases · Physics 2019-08-21 H. Kiehn , S. I. Mistakidis , G. C. Katsimiga , P. Schmelcher

We derive a time-domain mean-field equation to model the full temporal and spectral dynamics of light in singly resonant cavity-enhanced second-harmonic generation systems. We show that the temporal walk-off between the fundamental and the…

Optics · Physics 2016-01-27 F. Leo , T. Hansson , I. Ricciardi , M. De Rosa , S. Coen , S. Wabnitz , M. Erkintalo