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We propose a detailed stability analysis of the Lugiato-Lefever model for Kerr optical frequency combs in whispering gallery mode resonators pumped in the normal dispersion regime. We analyze the spatial bifurcation structure of the…

斑图形成与孤子 · 物理学 2014-06-25 Cyril Godey , Irina Balakireva , Aurélien Coillet , Yanne K. Chembo

Optical frequency combs generated in normally dispersive Kerr microresonators have been observed to correspond to dark temporal structures, and theoretically explained as interlocked switching waves (also known as domain walls or fronts).…

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…

偏微分方程分析 · 数学 2025-02-06 Lukas Bengel , Björn de Rijk

Dissipative Kerr solitons are localized structures that exist in optical microresonators. They lead to the formation of microcombs --- chip-scale frequency combs that could facilitate precision frequency synthesis and metrology by…

Using the Lugiato-Lefever model, we analyze the effects of third order chromatic dispersion on the existence and stability of dark and bright soliton Kerr frequency combs in the normal dispersion regime. While in the absence of third order…

光学 · 物理学 2017-05-31 P. Parra-Rivas , D. Gomila , L. Gelens

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…

斑图形成与孤子 · 物理学 2013-08-13 Irina Balakireva , Aurélien Coillet , Cyril Godey , Yanne K. Chembo

Taking advantage of an extended Lugiato--Lefever equation with third-order dispersion, we numerically show that dark cavity solitons formed in normal dispersion of microresonators are capable of emitting dispersive waves in both normal and…

光学 · 物理学 2015-11-11 Shaofei Wang , Xianglong Zeng

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…

光学 · 物理学 2014-05-28 P. Parra-Rivas , D. Gomila , M. A. Matias , S. Coen , L. Gelens

We report the generation of broadband frequency combs in fiber Fabry-Perot resonators in the normal dispersion regime enabled by the excitation of switching waves. We theoretically characterise the process by means of a transverse linear…

光学 · 物理学 2024-02-16 Thomas Bunel , Matteo Conforti , Julien Lumeau , Antonin Moreau , Arnaud Mussot

We use numerical simulations based on an extended Lugiato-Lefever equation (LLE) to investigate the stability properties of Kerr frequency combs generated in microresonators. In particular, we show that an ensemble average calculated over…

光学 · 物理学 2014-02-13 Miro Erkintalo , Stephane Coen

We use the generalized Lugiato-Lefever model to investigate the phenomenon of Kerr optical frequency comb generation when group-velocity dispersion is null. In that case, the first dispersion term that plays a leading role is third-order…

光学 · 物理学 2017-08-02 Jimmi H. Talla Mbé , Carles Milián , Yanne K. Chembo

We investigate the formation of dark vector localized structures in the presence of nonlinear polarization mode coupling in optical resonators subject to a coherent optical injection in the normal dispersion regime. This simple device is…

斑图形成与孤子 · 物理学 2021-12-08 B. Kostet , Y. Soupart , K. Panajotov , M. Tlidi

Using numerical simulations of an extended Lugiato-Lefever equation, we analyze the stability and nonlinear dynamics of Kerr frequency combs generated in microresonators and fiber resonators taking into account third-order dispersion…

Stability domains (i.e. pump frequency detuning range) of a single dark soliton (or platicon) and dark breather in high-Q Kerr optical microresonators with normal group velocity dispersion is studied for a wide range of pump amplitudes…

Driven Kerr nonlinear optical resonators can sustain localized structures known as dissipative Kerr cavity solitons, which have recently attracted significant attention as the temporal counterparts of microresonator optical frequency combs.…

光学 · 物理学 2021-02-03 Zongda Li , Stéphane Coen , Stuart G. Murdoch , Miro Erkintalo

Kerr frequency combs from microresonators are now extensively investigated as a potentially portable technology for a variety of applications. Most studies employ anomalous dispersion microresonators that support modulational instability…

Breathers are localized waves, that are periodic in time or space. The concept of breathers is useful for describing many physical systems including granular lattices, Bose-Einstein condensation, hydrodynamics, plasmas and optics. Breathers…

光学 · 物理学 2018-12-26 Chengying Bao , Yi Xuan , Daniel E. Leaird , Minghao Qi , Andrew M. Weiner

We analyse the nonlinear dynamics of Fabry-Perot cavities of arbitrary finesse filled by a dispersive Kerr medium, pumped by a continuous wave laser or a synchronous train of flat-top pulses. The combined action of feedback, group velocity…

光学 · 物理学 2023-09-15 Zoheir Ziani , Thomas Bunel , Auro M. Perego , Arnaud Mussot , Matteo Conforti

The recent discovery of dissipative Kerr solitons in microresonators has facilitated the development of fully coherent, chip-scale frequency combs. In addition, dark soliton pulses have been observed in microresonators in the normal…

The regions of existence and stability of dark solitons in the Lugiato-Lefever model with normal chromatic dispersion are described. These localized states are shown to be organized in a bifurcation structure known as collapsed snaking…

斑图形成与孤子 · 物理学 2016-06-29 Pedro Parra-Rivas , Edgar Knobloch , Damia Gomila , Lendert Gelens
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