Analysis of stable self-trapping of laser beams in cubic-quintic nonlinear media

Dimitrevski, Kristian; Reimhult, Erik; Svensson, Erik D.; Öhgren, Anders; Anderson, D.; Berntson, A.; Lisak, M.; Quiroga-Teixeiro, M.

doi:10.1016/s0375-9601(98)00532-5

Cited by 60 publications

(34 citation statements)

References 13 publications

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“…That is why its simplest version, the CQ nonlinearity, attracts significant attention of theoreticians from the early days of nonlinear optics (Zakharov, Sobolev, and Synakh [1971]). Numerical studies have confirmed the stability of fundamental spatial solitons in this system (Wright, Lawrence, Torruellas, and Stegeman [1995]; Dimitrevski, Reimhult, Svensson, Ohgren, Anderson, Berntson, Lisak, and Quiroga-Teixeiro [1998]; Quiroga-Teixeiro, Berntson, and Michinel [1999]). Experimentally a CQ nonlinear dielectric response with positive cubic and negative quintic contributions has been observed in chalcogenide glasses (Smektala, Quemard, Couderc, and Barthelemy [2000]; Boudebs, Cherukulappurath, Leblond, Troles, Smektala, and Sanchez [2003]), and in organic materials (Zhan, Zhang, Zhu, Wang, Li, Li, Lu, Zhao, and Nie [2002]).…”

Section: Cubic-quintic Nonlinearitysupporting

confidence: 52%

Optical vortices and vortex solitons

2005

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Optical vortices are phase singularities nested in electromagnetic waves that constitute a fascinating source of phenomena in the physics of light and display deep similarities to their close relatives, quantized vortices in superfluids and Bose-Einstein condensates. We present a brief overview of the major advances in the study of optical vortices in different types of nonlinear media, with emphasis on the properties of vortex solitons. Self-focusing nonlinearity leads, in general, to the azimuthal instability of a vortex-carrying beam, but it can also support novel types of stable or meta-stable self-trapped beams carrying nonzero angular momentum, such as ring-like solitons, necklace beams, and soliton clusters. We describe vortex solitons created by multi-component beams, by parametrically coupled beams in quadratic nonlinear media, and in partially incoherent light, as well as discrete vortex solitons in periodic photonic lattices.

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Section: Cubic-quintic Nonlinearitysupporting

confidence: 52%

Optical vortices and vortex solitons

2005

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“…For larger values of the propagation constant, the beam flux grows rapidly with β and the peak amplitude of the distribution saturates due to the effect of n 4 , reaching asymptotically the value A cr which is slightly below the maximum amplitude. Thus, high power beams show spatial light distributions with flatted tops in their profiles, similar to those of hyper-Gaussian functions [24,25]. We must stress the intriguing fact that both β cr and A cr do not depend on the value of the topological charge.…”

Section: Introductionmentioning

confidence: 74%

“…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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“…On the other hand, the theoretical description of these localized modes is in general based on nonlinear Schrödinger equations (NLSE) [6][7][8]. In the modeling of these kind of systems, nonlinear effects like two and three photon absorption, second order group-velocity dispersion, time-delayed nonlinear response, multiphoton ionization and plasma defocusing [9] are usually taken into account.…”

Section: Introductionmentioning

confidence: 99%

Filamentation processes and dynamical excitation of light condensates in optical media with competing nonlinearities

et al. 2010

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We analyze both theoretically and by means of numerical simulations the phenomena of filamentation and dynamical formation of self-guided nonlinear waves in media featuring competing cubic and quintic nonlinearities. We provide a theoretical description of recent experiments in terms of a linear stability analysis supported with simulations, showing the possibility of the observation of modulational instability suppression of intense light pulses travelling across such nonlinear media. We also show a novel mechanism of indirect excitation of light condensates by means of coalescence processes of nonlinear coherent structures produced by managed filamentation of high power laser beams.

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Analysis of stable self-trapping of laser beams in cubic-quintic nonlinear media

Cited by 60 publications

References 13 publications

Optical vortices and vortex solitons

Optical vortices and vortex solitons

Square vortex solitons with a large angular momentum

Filamentation processes and dynamical excitation of light condensates in optical media with competing nonlinearities

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