A systematic analysis of parametric instabilities in nonlinear parabolic multimode fibers

Lopez-Aviles, Helena; Wu, Fan O.; Eznaveh, Z. Sanjabi; Eftekhar, M. A.; Wise, Frank W.; Correa, Rodrigo Amezcua; Christodoulides, Demetrios N.

doi:10.1063/1.5044659

Cited by 35 publications

(8 citation statements)

References 37 publications

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“…In order to unravel the origin of this flat supercontinuum generation, it is imperative to first understand how FWM processes or geometric parametric instabilities 22,28,51 unfold in a uniform graded-index nonlinear MMF. This analysis is pertinent to CW (or in our case broad pulses) excitations in the normal dispersive region.…”

Section: Resultsmentioning

confidence: 99%

“…This, in turn, has a profound effect on the spectral perturbations A ( z ,Ω) located at the sidebands ω 0 ± Ω around the carrier frequency ω 0 . Under these conditions, these perturbations obey the following Hill’s equation 51 :where β e = [ β ( ω 0 + Ω)+ β ( ω 0 −Ω)]/2− β ( ω 0 ) involves all the even terms of the Taylor series expansion of the dispersion profile β ( ω ). In the above equation, represents a normalized propagation distance, n 2 accounts for the Kerr nonlinear index coefficient, and k 0 = 2π/ λ 0 , with λ 0 being the pump wavelength.…”

Section: Resultsmentioning

confidence: 99%

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Accelerated nonlinear interactions in graded-index multimode fibers

et al. 2019

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Multimode optical fibers have recently reemerged as a viable platform for addressing a number of long-standing issues associated with information bandwidth requirements and power-handling capabilities. As shown in recent studies, the complex nature of such heavily multimoded systems can be effectively exploited to observe altogether novel physical effects arising from spatiotemporal and intermodal linear and nonlinear processes. Here, we study for the first time, accelerated nonlinear intermodal interactions in core-diameter decreasing multimode fibers. We demonstrate that in the anomalous dispersion region, this spatiotemporal acceleration can lead to relatively blue-shifted multimode solitons and blue-drifting dispersive wave combs, while in the normal domain, to a notably flat and uniform supercontinuum, extending over 2.5 octaves. Our results pave the way towards a deeper understanding of the physics and complexity of nonlinear, heavily multimoded optical systems, and could lead to highly tunable optical sources with very high spectral densities.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Accelerated nonlinear interactions in graded-index multimode fibers

et al. 2019

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“…Notable predictions of the VA are that the SSI period z s is independent of power, whereas the amplitude of the beam intensity and width oscillations is power-dependent. An important consequence of the invariance of z s is that the position of GPI sidebands remains a constant, as the beam power is increased [8,26]. In this work, we advance the theory of SSI in GRIN MMFs, by deriving an exact solution for the nonlinear evolution of first and second order moments of a laser beam of arbitrary shape.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear beam self-imaging and self-focusing dynamics in a GRIN multimode optical fiber: theory and experiments

et al. 2020

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Beam self-imaging in nonlinear graded-index multimode optical fibers is of interest for many applications, such as implementing a fast saturable absorber mechanism in fiber lasers via multimode interference. We obtain a new exact solution for the nonlinear evolution of first and second order moments of a laser beam of arbitrary transverse shape carried by a graded-index multimode fiber. We have experimentally directly visualized the longitudinal evolution of beam self-imaging by means of femtosecond laser pulse propagation in both the anomalous and the normal dispersion regime of a standard telecom graded-index multimode optical fiber. Light scattering out of the fiber core via visible photo-luminescence emission permits us to directly measure the self-imaging period and the beam dynamics. Spatial shift and splitting of the self-imaging process under the action of self-focusing are also revealed.

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“…During the course of this effort, a number of intriguing processes have been observed that have no counterpart whatsoever in single-mode settings. These include for example, geometric parametric instabilities [11][12][13][14] , spatiotemporal mode-locking 10 , efficient supercontinuum generation 12,15 , and the formation of multimode solitons along with a novel class of Cherenkov dispersive wave lines 16,17 , to mention a few. In the same vein, in three independent studies, a peculiar effect was found to take place in such nonlinear multimode environments whereby the optical power gradually flowed towards the lowest group of modes 12,18,19 .…”

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confidence: 99%

Thermodynamic theory of highly multimoded nonlinear optical systems

2019

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The quest for ever higher information capacities has brought about a renaissance in multimode optical waveguide systems. This resurgence of interest has recently initiated a flurry of activities in nonlinear multimode fiber optics. The sheer complexity emerging from the presence of a multitude of nonlinearly interacting modes has led not only to new opportunities in observing a host of novel optical effects that are otherwise impossible in single-mode settings, but also to new theoretical challenges in understanding their collective dynamics. In this Article, we present a consistent thermodynamical framework capable of describing in a universal fashion the exceedingly intricate behavior of such nonlinear highly multimoded photonic configurations at thermal equilibrium. By introducing pertinent extensive variables, we derive new equations of state and show that both the "internal energy" and optical power in many-mode arrangements always flow in such a way so as to satisfy the second law of thermodynamics. The laws governing isentropic processes are derived and the prospect for realizing Carnot-like cycles is also presented.In addition to shedding light on fundamental issues, our work may pave the way towards a new generation of high power multimode optical structures and could have ramifications in other manystate nonlinear systems, ranging from Bose-Einstein condensates to optomechanics.

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A systematic analysis of parametric instabilities in nonlinear parabolic multimode fibers

Cited by 35 publications

References 37 publications

Accelerated nonlinear interactions in graded-index multimode fibers

Accelerated nonlinear interactions in graded-index multimode fibers

Nonlinear beam self-imaging and self-focusing dynamics in a GRIN multimode optical fiber: theory and experiments

Thermodynamic theory of highly multimoded nonlinear optical systems

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