Marten, G. G, Matches, A. G., Barnes, R. F., Brougham, R. W., Clements, R. J., Sheath, G. W. (ed.): Persistence of Forage Legumes

Svobodová, M.; Šantrůček, J.

doi:10.1007/bf02897887

Cited by 4 publications

(11 citation statements)

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“…This special case of the variational approach based on the Gaussian form for wave pulses is often called the aberration-free approximation. This approach was first introduced in [40] and is widely used in nonlinear optics for continuous media [20].…”

Section: Variational Approachmentioning

confidence: 99%

“…The collapse of 3D wave packets, even within the framework of continuous NSE, is one of those insufficiently investigated processes [20]-especially in the case of wave packets, which are oblate in the longitudinal direction [43]. The specificity of the problem we are considering is that the media discreteness manifests itself at the self-focusing of the wave field, and it becomes possible to capture the radiation in the self-channeling regime (see section 2.2).…”

Section: Light Bullet Formationmentioning

confidence: 99%

“…This has given an impetus to the study of radiation self-action in the regime of anomalous dispersion, both in waveguide systems [17] and in homogeneous media [18,19]. Here, the specific self-action features are connected to the fact that radiation self-focusing in a medium with anomalous dispersion is accompanied by the shortening of a soliton-like wave packet [20]. The possibility of replacing high-power solid-state lasers with equivalent laser systems based on fiber components looks very attractive, since it can change the appeal of the corresponding applied developments in a radical way by ensuring small dimensions, ease of use, reliability and the operation stability of a laser system.…”

Section: Introductionmentioning

confidence: 99%

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Self-compression of spatially limited laser pulses in a system of coupled light-guides

et al. 2018

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The self-action features of wave packets propagating in a two-dimensional system of equidistantly arranged fibers are studied analytically and numerically on the basis of the discrete nonlinear Schrödinger equation. Self-consistent equations for the characteristic scales of a Gaussian wave packet are derived on the basis of the variational approach, which are proved numerically for powers P < 10Pcr exceeding slightly the critical one for self-focusing. At higher powers, the wave beams become filamented, and their amplitude is limited due to nonlinear breaking of the interaction between neighbor light-guides. This make impossible to collect a powerful wave beam into the single light-guide. The variational analysis show the possibility of adiabatic self-compression of soliton-like laser pulses in the process of their three-dimensional self-focusing to the central light-guide. However, the further increase of the field amplitude during self-compression leads to the longitudinal modulation instability development and formation of a set of light bullets in the central fiber. In the regime of hollow wave beams, filamentation instability becomes predominant. As a result, it becomes possible to form a set of light bullets in optical fibers located on the ring.

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Section: Variational Approachmentioning

confidence: 99%

Section: Light Bullet Formationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Self-compression of spatially limited laser pulses in a system of coupled light-guides

et al. 2018

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“…The so-called light filaments are formed inside the optical beam as a result of this dynamical counterbalancing. These filaments can be treated as temporally and spatially localized high intensity areas (in air, ∼50 TW cm −2 ), persistent at rather long distances (for a review of this problem see, e.g., [1][2][3] and references therein).…”

Section: Introductionmentioning

confidence: 99%

Post-focal filamentation of an externally focused femtosecond laser pulse in air

Geints¹,

Zemlyanov

2013

Laser Phys.

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Self-focusing and filamentation of externally focused ultrashort laser radiation in air are discussed. The influence of initial beam focusing on the filamentation length is numerically studied, and the conditions under which a light filament can resurrect after the linear focus are determined. We have found that the probability of this post-focal filamentation increases with an increase of laser power regardless of the type of filamentation (single/multiple).

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“…In the past decades, with the technological advances in ultrafast optics, the generation of ulrashort laser pulses comprising only a few carrier oscillation cycles is available to researchers [1,2]. This has stimulated great interest in the problem of ultrashort laser pulse propagation in a dispersive nonlinear medium, and even in free space [3,4]. For example, the spatiotemporal self-focusing of ultrashort laser pulses has been the subject of intense investigation [4,5].…”

Section: Introductionmentioning

confidence: 99%

Role of chirp in spatiotemporal modulation instability of broadband pulsed laser

Zhang

Deng

et al. 2010

J. Opt.

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We report on the theoretical derivation and experimental demonstration of the influence of chirp on the spatiotemporal modulation instability in a nonlinear Kerr medium. Based on a derived (3 + 1)-dimensional nonlinear Schrödinger equation for chirped laser pulse propagation, we obtain the expression for the instability gain spectrum of a chirped laser pulse by using a standard linear stability analysis. It is shown that the pulse chirp does not affect the instability region and the fastest growth frequency. In the experiment, we observe the nonlinear growth of spatial stripes with different modulation frequency due to the small-scale self-focusing. We also obtain the gain spectra of the laser pulses with different values of pulse chirp. It is found that, for the condition that the contributions of nonlinearity (Nnl) are equal, the experimental results are in agreement with the theoretical predictions.

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Marten, G. G, Matches, A. G., Barnes, R. F., Brougham, R. W., Clements, R. J., Sheath, G. W. (ed.): Persistence of Forage Legumes

Cited by 4 publications

References 0 publications

Self-compression of spatially limited laser pulses in a system of coupled light-guides

Self-compression of spatially limited laser pulses in a system of coupled light-guides

Post-focal filamentation of an externally focused femtosecond laser pulse in air

Role of chirp in spatiotemporal modulation instability of broadband pulsed laser

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