Internal dynamics of nonlinear beams in their ground states: short- and long-lived excitation

Quiroga-Teixeiro, M.; Berntson, A.; Michinel, Humberto

doi:10.1364/josab.16.001697

Cited by 58 publications

(37 citation statements)

References 21 publications

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“…Equation (1) is scaled so as to make the effective cubic coefficient equal to 1, while is respective quintic coefficient, proportional to / . As we choose the self-focusing cubic and defocusing quintic nonlinearities, which provides for the stabilization of solitons [50,51], is positive. If the pulse's temporal width is larger than the intra-band relaxation time, the gain spectrum, ( ), can be expanded in the Taylor series about the carrier frequency .…”

Section: The Modelmentioning

confidence: 99%

Dissipative soliton fiber lasers with higher-order nonlinearity, multiphoton absorption and emission, and random dispersion

2017

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We study the generation of dissipative solitons (DSs) in the model of the fiber-laser cavities under the combined action of cubic-quintic nonlinearity, multiphoton absorption and/or multiphoton emission (nonlinear gain) and gain dispersion. A random component of the group-velocity dispersion (GVD) is included too. The DS creation and propagation is studied by means of a variational approximation and direct simulations, which are found to be in reasonable agreement. With a proper choice of the gain, robust DS operation regimes are predicted for different combinations of multiphoton absorption and emission, in spite of the presence of the perturbation in the form of the random GVD. Importantly, the zero background around the solitons remains stable in the presence of the (necessary) linear gain. The solitons are stable too against a certain (realistic) level of noise. Another essential finding is that the quintic gain in the form of three-photon emission (3PE) offers an alternative mechanism for supporting stable solitons, provided that it is not too strong. The DSs coexist in low-and highamplitude forms, for a given value of their width. The low-amplitude DS is stable, while its high-amplitude counterpart is subject to the blowup instability, in the presence of the 3PE. Interactions between DSs show various scenarios of the creation of breather states through merger of the two solitons.

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Section: The Modelmentioning

confidence: 99%

Dissipative soliton fiber lasers with higher-order nonlinearity, multiphoton absorption and emission, and random dispersion

2017

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“…To explain the properties of the above light distributions, we have performed a variational analysis [24,25].…”

Section: Variational Analysismentioning

confidence: 99%

Square vortex solitons with a large angular momentum

2004

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We show the existence of square shaped optical vortices with a large value of the angular momentum hosted in finite size laser beams which propagate in nonlinear media with a cubic-quintic nonlinearity. The light profiles take the form of rings with sharp boundaries and variable sizes depending on the power carried. Our stability analysis shows that these light distributions remain stable when propagate, probably for unlimited values of the angular momentum, provided the hosting beam is wide enough. This happens if the peak amplitude approaches a critical value which only depends on the nonlinear refractive index of the material. A variational approach allows us to calculate the main parameters involved. Our results add extra support to the concept of surface tension of light beams that can be considered as a trace of the existence of a liquid of light.

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“…The two models produce essentially different results when the expansion is not valid. Critical conditions for the formation of 2D solitons in these systems were found numerically by QuirogaTeixeiro et al [29] (2D), and by Edmundson et al [27] and McLeod et al [28] for the 3D solitons. From those results, we can estimate the necessary experimental parameters for both the 2D and 3D case by the transformation to physical units.…”

Section: Theoretical Analysis Of Necessary Conditions For the Eximentioning

confidence: 67%

“…It was shown that both rational [24,25,26,27,28] and cubic-quintic (CQ) [29,30,31] variants of the saturation readily support stable twodimensional (2D) and three-dimensional (3D) solitons. A difference between them is that the former cannot stabilize "spinning" solitons with an intrinsic vorticity, but the CQ nonlinearity makes it possible, in the 2D [32,33,34] and even 3D [35] cases.…”

Section: Introductionmentioning

confidence: 99%

Criteria for the experimental observation of multidimensional optical solitons in saturable media

et al. 2004

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Criteria for experimental observation of multi-dimensional optical solitons in media with saturable refractive nonlinearities are developed. The criteria are applied to actual material parameters (characterizing the cubic self-focusing and quintic self-defocusing nonlinearities, two-photon loss, and optical-damage threshold) for various glasses. This way, we identify operation windows for soliton formation in these glasses. It is found that two-photon absorption sets stringent limits on the windows. We conclude that, while a well-defined window of parameters exists for two-dimensional solitons (spatial or spatiotemporal), for their three-dimensional spatiotemporal counterparts such a window does not exist, due to the nonlinear loss in glasses.

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Internal dynamics of nonlinear beams in their ground states: short- and long-lived excitation

Cited by 58 publications

References 21 publications

Dissipative soliton fiber lasers with higher-order nonlinearity, multiphoton absorption and emission, and random dispersion

Dissipative soliton fiber lasers with higher-order nonlinearity, multiphoton absorption and emission, and random dispersion

Square vortex solitons with a large angular momentum

Criteria for the experimental observation of multidimensional optical solitons in saturable media

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