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Related papers: Elliptic-type soliton combs in optical ring micror…

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Characteristic features of soliton-comb structures in optical microresonators are investigated in normal and anomalous dispersion regimes, when the detuning parameter is varied over a broad range of values. The study rests on the assumption…

Optics · Physics 2019-12-17 R. D. Dikandé Bitha , Alain M. Dikandé

Kerr frequency combs are optical signals consisting of a multitude of equally spaced excited modes in frequency space. They are generated by converting a continuous-wave pump laser within an optical microresonator. It has been observed that…

Analysis of PDEs · Mathematics 2025-02-06 Lukas Bengel , Björn de Rijk

It has been recently uncovered that coherent structures in microresonators such as cavity solitons and patterns are intimately related to Kerr frequency combs. In this work, we present a general analysis of the regions of existence and…

Optics · Physics 2014-05-28 P. Parra-Rivas , D. Gomila , M. A. Matias , S. Coen , L. Gelens

The influence of thermo-optic effects on shape profiles of soliton crystals in optical Kerr microresonators is investigated. The study rests on a model that consists of the Lugiato-Lefever equation, coupled to the one-dimensional heat…

Optics · Physics 2022-10-14 B. Azah Bei Cho , I. Ndifon Ngek , Alain M. Dikande

We examine the evolution of a time-varying perturbation signal pumped into a mono-mode fiber in the anomalous dispersion regime. We analytically establish that the perturbation evolves into a conservative pattern of periodic pulses which…

Pattern Formation and Solitons · Physics 2021-09-17 Défi Jr. Jubgang Fandio , Alain M. Dikandé , A. Sunda-Meya

We study the properties of a soliton crystal, an bound state of several optical pulses that propagate with a fixed temporal separation through the optical fibres of the proposed approach for generation of optical frequency combs (OFC) for…

Pattern Formation and Solitons · Physics 2017-04-21 M. Zajnulina , M. Böhm , D. Bodenmüller , K. Blow , J. M. Chavez Boggio , A. A. Rieznik , M. M. Roth

Solitons in liquid crystals are spatially localised stable configuration of the liquid crystal orientational order parameter that exhibit emergent particle-like properties such as mutual interaction, translational motion and reconfigurable…

Soft Condensed Matter · Physics 2024-10-08 Allison W. Teixeira , Cristóvão S. Dias , Mykola Tasinkevych

This article offers a comprehensive survey of results obtained for solitons and complex nonlinear wave patterns supported by purely nonlinear lattices (NLs), which represent a spatially periodic modulation of the local strength and sign of…

Optics · Physics 2015-05-20 Yaroslav V. Kartashov , Boris A. Malomed , Lluis Torner

We theoretically study the dynamics and spatio-temporal pattern formation of driven lattices of nonlinear optical microresonators and analyze the formation of dissipative structures, in particular dissipative Kerr solitons. We consider both…

Dissipative Kerr solitons in optical microresonators provide a unifying framework for nonlinear optical physics with photonic-integrated technologies and have recently been employed in a wide range of applications from coherent…

Strongly interacting solitons confined to an optical resonator would offer unique capabilities for experiments in communication, computation, and sensing with light. Here we report on the discovery of soliton crystals in monolithic Kerr…

We present a brief overview of the basic concepts of the soliton stability theory and discuss some characteristic examples of the instability-induced soliton dynamics, in application to spatial optical solitons described by the NLS-type…

Pattern Formation and Solitons · Physics 2018-04-23 Yuri S. Kivshar , Andrey A. Sukhorukov

We have reviewed recent developments of some aspects of optical spatial solitons in photorefractive media. Underlying principles governing the dynamics of photorefractive nonlinearity have been discussed using band transport model.…

Optics · Physics 2012-09-12 S. Konar , Anjan Biswas

Solitons, arising from nonlinear wave-matter interactions, stand out for their intrinsic stability during wave propagation and exceptional spectral characteristics. Their applications span diverse physical systems, including…

We are reporting that the Lugiato-Lefever equation describing the frequency comb generation in ring resonators with the localized pump and loss terms also describes the simultaneous nonlinear resonances leading to the multistability of…

Optics · Physics 2017-07-17 Y. V. Kartashov , O. Alexander , D. V. Skryabin

We study spatial optical solitons in a one-dimensional nonlinear photonic crystal created by an array of thin-film nonlinear waveguides, the so-called Dirac-comb nonlinear lattice. We analyze modulational instability of the extended…

Pattern Formation and Solitons · Physics 2007-05-23 Andrey A. Sukhorukov , Yuri S. Kivshar

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

Dissipative solitons can emerge in a wide variety of dissipative nonlinear systems throughout the fields of optics, medicine or biology. Dissipative solitons can also exist in Kerr-nonlinear optical resonators and rely on the double balance…

Stable light bullets and clusters of them are presented in the monostable regime using the mean-field Lugiato-Lefever equation [Gopalakrishnan, Panajotov, Taki, and Tlidi, Phys. Rev. Lett. 126, 153902 (2021)]. It is shown that…

Optics · Physics 2021-09-22 M. Tlidi , S. S. Gopalakrishnan , M. Taki , K. Panajotov

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…

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