1,721,061 research outputs found
Multimode resonance transition to collapsed snaking in normal dispersive Kerr cavities: bright versus dark solitons
No full textWe study the dynamics of Kerr cavity solitons in the normal dispersion regime in the presence of an intracavity phase modulation. The associated parabolic potential introduces multimode resonances, which promote the formation of high-order bright solitons. By gradually reducing the potential strength, bright solitons undergo a transition into dark solitons. We describe this process as a shift from a multimode resonance to a collapsed snaking bifurcation structure. This work offers a comprehensive overview of cavity dynamics and may provide a potential pathway to access multi-stable states by effectively varying the phase modulation
Transitional dynamics of collapsed snaking to multiple resonances in Kerr cavities with parabolic potential: dark and bright solitons
No full textWe investigate the dynamics of Kerr cavity solitons in the normal dispersion regime, under the influence of
intracavity phase modulation. When increasing the strength of the parabolic phase modulation, dark solitons
undergo a transformative shift into high-order bright solitons. We characterize this phenomenon and show that
it is associated with a transition from a collapsed snaking bifurcation structure for dark solitons, to a multimode
resonance structure for the high-order bright solitons case. This study may offer a comprehensive exploration of cavity dynamics, unveiling an avenue to access new multi-stable states by controlling the phase modulation
Modeling of dual frequency combs and bistable solitons in third-harmonic generation
Full text linkAbstract Phase-matching of the third-harmonic generation process can be used to extend the emission of radiation from Kerr microresonators into new spectral regions far from the pump wavelength. Here, we present a theoretical mean-field model for optical frequency combs in a dissipative and nonlinear χ (3)-based cavity system with parametric coupling between fundamental and third-harmonic waves. We investigate temporally dispersive dual-comb generation of phase-matched combs with broad bandwidth and anomalous dispersion of the fundamental field, individuating conditions for accessing a multistable regime that simultaneously supports two types of coupled bright cavity solitons. These bistable cavity solitons coexist for the same pump power and frequency detuning, while featuring dissimilar amplitudes of their individual field components. Third-harmonic generation frequency combs grant telecom pump laser sources a simultaneous and direct access to both the near-infrared and the visible regions, which may prove advantageous for the development of optical clocks and sensing applications
Implications of tristability in dissipative Kerr soliton formation
No full textDissipative solitons are localized structures (LSs) found in a plethora of different fields of sciences, ranging from plant population ecology to nonlinear optics [1]. In the latter, temporal LSs have been extensively studied in dispersive Kerr cavities such as all-fiber resonators [2]. The formation of these LSs (and their type) is generally related to the coexistence of different states in two different bistable scenarios. The first scenario appears when a periodic state coexists with an uniform one, and consists in a portion of the first embedded in the second. These LSs undergo a bifurcation structure known as standard homoclinic snaking (SHS) [3]. In the second case, two uniform states coexist, and LSs consist in a plateau of one uniform state embedded in another one. These LSs undergo collapsed homoclinic snaking (CHS) [3]. One scenario which has not yet been investigated in nonlinear optics is the so-called tristable regime, where two uniform states coexist with one spatially periodic pattern [4]. This work focus on the impact of tristability on the formation of LSs in Kerr cavities. We show that tristability implies a smooth transition between the SHS and CHS scenarios. To induce tristability, higher order dispersion effects, such as fourth-order dispersion (FOD), must be considered. In this context, the dynamics of the electromagnetic field circulating in these cavities is described by the modified Lugiato-Lefever equation \begin{equation*}\partial_{t}A=-(1+i\Delta)A-id_{2}\partial_{x}^{2}A+id_{4}\partial_{x}^{4}A+i\vert A\vert ^{2}A+S,\end{equation*} where is the normalized complex electric field amplitude, represents the slow time coordinate, and corresponds to the fast time in fiber cavities or angular variable in microresonators. The second-order dispersion and FOD coefficients are respectively and , that we fix to and . The non-linearity is of Kerr-type, the gain is modeled by , the losses are linear and describes the detuning
Dynamics of three-dimensional spatiotemporal solitons in multimode waveguides
Full text linkIn 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 these structures can be described by using a Gross-Pitaevskii
equation with a two-dimensional parabolic spatial potential. Our investigations
are based on comparing variational approaches, based on the Ritz optimization
method, with extensive numerical simulations. We found that, with a Kerr
self-focusing nonlinearity, spatiotemporal solitons are stable for low pulse
energies, where our analytical results find a perfect agreement with the
numerical simulations. However, solitons with progressively increasing energies
eventually undergo wave collapse, which is not predicted within the variational
framework. In a self-defocusing scenario, again for low energies there is good
agreement between the variational predictions and simulations. Whereas, for
large soliton energies complex spatiotemporal dynamics emerge
Dissipative localized states and breathers in phase-mismatched singly resonant optical parametric oscillators: Bifurcation structure and stability
Full text linkWe study the emergence of dissipative localized states in phase mismatched singly resonant optical parametric oscillators. These states arise in two different bistable configurations due to the locking of front waves connecting the two coexisting states. In one of these configurations, the bistability is mediated by the coexistence of two uniform states. Here the localized states are organized in a collapsed snaking bifurcation structure. Moreover, these states undergo oscillatory instabilities which lead to a breathing behavior. When the bistability is related to the coexistence of a uniform state and a spatially periodic pattern, localized states are organized in a bifurcation structure similar to the standard homoclinic snaking. Performing an exhaustive bifurcation analysis, we characterize in detail the previous structures, their linear stability, and the modification of their dynamics as a function of the control parameters of the system.SCOPUS: ar.jinfo:eu-repo/semantics/publishe
Quadratic soliton combs in doubly resonant second-harmonic generation
No full textWe report a theoretical investigation of quadratic frequency combs in a dispersive second-harmonic generation cavity system. We identify different dynamical regimes and demonstrate that the same system can exhibit both bright and dark localized cavity solitons in the absence of a temporal walk-off
Nonlinear dynamics of coherently driven cavities with synchronous intracavity phase modulation
No full textWe study nonlinear wave dynamics in coherently driven cavities with a parabolic potential. Different states including high-order solitons, high-order breathers, and chaoticons are characterized in terms of a phase diagram
Pure quartic three-dimensional spatiotemporal Kerr solitons in graded-index media
No full textWe 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 numerical simulations, that fourth-order dispersion has a positive impact on soliton
stabilization against spatiotemporal wave collapse. Specifically, pure quartic spatiotemporal solitons remain
stable within a significantly larger energy range with respect to their second-order dispersion counterpart
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