Collapse of Optical Vortices

Vuong, Luat T.; Grow, Taylor D.; Ishaaya, Amiel A.; Gaeta, Alexander L.; Hooft, G. W. ’t; Eliel, E. R.; Fibich, Gadi

doi:10.1103/physrevlett.96.133901

Cited by 149 publications

(85 citation statements)

References 21 publications

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“…Experimental observations of DOVSs in defocusing media were reported by several groups [14,15]. However, bright (self-trapped) optical vortex solitons in self-focusing media are subject to spontaneous azimuthal symmetry breaking due to the corresponding modulational instability [16][17][18][19][20].…”

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confidence: 96%

Robust self-trapping of vortex beams in a saturable optical medium

et al. 2016

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confidence: 96%

Robust self-trapping of vortex beams in a saturable optical medium

et al. 2016

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“…In the literature, several experimental works have explored the behavior of femtosecond pulsed OVs in high saturable non-linear behavior, e.g. solids [14], water [15] and gases, presenting a resonance line within the laser wavelength domain [16,17]. Moreover, the predicted high stability of the vortex solitons against collapse and filamentation [18] may be used for efficient and stable beam propagation in the atmosphere.…”

Section: High-power Vortices In Gasesmentioning

confidence: 99%

High power vortex generation with volume phase holograms and non-linear experiments in gases

et al. 2008

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An experimental method for the production of high power optical vortices by using volume phase holographic plates is presented. Experiments in air, N 2 and Ar have been performed as an example of the method's potential, observing non-linear effects and filamentation. Theoretical calculations support the conclusions. Optical vortices (OVs) have been the object of intensive investigation due to their special properties concerning orbital angular momentum and spatial distribution [1]. Most of the works related to OVs have involved continuouswave (cw) and quasi-cw regimes. Recently, the generation of OVs in very short and intense light bursts has been a subject of interest. This will allow us to have access into the high-power regime for studying experimentally the behavior of non-linear vortex structures (i.e. propagation in Kerr media and filamentation).In order to generate the OVs with femtosecond pulses, two main approaches can be found in the literature. Both techniques have been exported from the cw regime, where they had already been consolidated. First, spiral phase plates (SPPs) are media where the optical path increases with the azimuthal angle, yielding an output beam with a helical phase front [2]. It has been shown that it is possible to generate vortex structures at the Ti:sapphire emission wavelength with efficiency of 55% and high damage thresholds [3]. Other materials, such as resists, offer higher efficiencies (around 80% [4]) and still quite high damage thresholds in the case of photoresists [5]. Therefore, SPPs appear as promising candidates to high power OV generation [6]. However, a recent work establishes some limitations of the technique when very short pulses are used [7]. In fact, for spectra presenting a FWHM higher than 40 nm, spatial chirp effects appear. Therefore, this u Fax: +34-923-2945-84, E-mail: ijsola@usal.es technique may have problems for pulses shorter than 30 fs. On the other hand, the manufacture of SPPs is expensive and demanding.The second technique uses the so-called computer-generated holograms (CGHs), gratings presenting some dislocations in the diffraction pattern that creates the vortex. Usually they consist of an amplitude mask [8], but alternative processing of CGHs has been reported [9]. Also, dynamic CGHs have been tested using liquid-crystal media [10]. In general, the CGH technique presents lower efficiencies than those obtained with the SPPs. However, because of its simplicity of production compared to the SPP making up process, it is a quite popular technique, too. In addition, CGHs have been adapted to the femtosecond regime using 2f-2f set-ups, in order to compensate the spatial chirp [11,12]. The main limitations of CGHs to date are the low damage threshold of the materials used, preventing the generation of high-power OVs, and the very low efficiency (as an exception, CGHs consisting of bleached plates [9] and liquid crystals (LCs) [10] present higher efficiency, compared to the more common amplitude CGHs).We propose an alternative way to generate...

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“…where 0 = 230 m -effective beam radius, 0 = 60 fs -pulse duration, = 2 -topological charge, central wavelength is 0 = 3000 nm. The peak pulse power exceeds optical vortex self-focusing critical power [6] six times. Numerical calculations show that the pulse propagation with specified parameters starts with its self-focusing, remaining annular structure of the beam (Fig.1).…”

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confidence: 92%

Femtosecond filamentation of optical vortex in a medium with anomalous group velocity dispersion

2017

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Abstract. Within the framework of the slowly varying wave approximation method, the pictures of spatio-temporal dynamics of femtosecond pulse in a ring beam with phase singularity were obtained during propagation in CaF2 crystal with anomalous group velocity dispersion. We show formation of tubular structure of the beam and explain reasons of its appearance. Fluence and linear plasma concentration dependencies on propagation distance are analyzed.Filamentation of laser radiation is a phenomenon of formation of a long spatiotemporal structure with high power density [1]. Femtosecond filamentation has been widely studied for Gaussian and other beams with a smooth phase [2,3]. Filamentation of circular beams with phase dislocations can be promising for such applications as tubular refractive index micromodifications, electrons accelerations, etc [4]. We have numerically investigated the filamentation of a femtosecond laser pulse in fused silica for the case of an annular beam with a phase singularity at a wavelength of 800 nm [5]. In this paper, we study propagation of a pulse in mid-IR in circular beam with phase dislocation in presence of anomalous group velocity dispersion typical for calcium fluorides.A numerical simulation of the problem was performed based on the system of differential equations for the slowly varying complex envelope of laser field ( , , ) and free-carrier concentration ( , , ):where ̂ is operator of wave nonstationarity [1], describing self-steepening of wave front, ̂ -dispersion operator, which is calculated in spectral domain according to Sellmeyer's formula. The model takes into account beam diffraction and pulse dispersion, Kerr's and plasma nonlinearities, Bremsstrahlung effect, nonlinear absorption and extinction, avalanche ionization and electron recombination.The initial condition represents a circular beam with located in the center phase dislocation in transform-limited Gaussian pulse.

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Collapse of Optical Vortices

Cited by 149 publications

References 21 publications

Robust self-trapping of vortex beams in a saturable optical medium

Robust self-trapping of vortex beams in a saturable optical medium

High power vortex generation with volume phase holograms and non-linear experiments in gases

Femtosecond filamentation of optical vortex in a medium with anomalous group velocity dispersion

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