Effects of relativistic and channel focusing on an intense laser beam propagating in a plasma channel: variational analysis

Liu, Mingwei; Guo, Hong; Zhou, Bingju; Li, Wenbin; Li, Bin; Wu, Guohua

doi:10.1016/j.physleta.2004.10.069

Cited by 20 publications

(8 citation statements)

References 20 publications

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“…Under the action of this force, electrons are expelled transversely away from regions of high laser intensity in the long pulse length limit and ponderomotive self-channeling emerges. Previous studies on ponderomotive self-channeling [39][40][41] in parabolic channels revealed a more complex parameter space than in [38]. After comparisons, it can be found that ponderomotive self-channeling can result in a parameter region for catastrophic focusing, and apparently decreases the traditional propagation domain in parameter space for a parabolic channel.…”

Section: Introductionmentioning

confidence: 88%

“…Taking into account ponderomotive self-channeling and the weakly relativistic limit (|a| 2 = 1, where a is the normalized vector potential and its normalization is presented after equation (2)), an intense laser beam propagating in an underdense plasma (n/n c < 1, where n is the density of the underdense plasma and n c is the critical density) is described by the following two equations [40][41][42][43][44]:…”

Section: Basic Model and Evolution Equationsmentioning

confidence: 99%

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The propagation dynamics and stability of an intense laser beam in a radial power-law plasma channel

Hong¹,

Stankovic²,

Gao³

et al. 2021

Plasma Sci. Technol.

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By containing ponderomotive self-channeling, the propagation behavior of an intense laser beam and the physical conditions are obtained theoretically in a radial power-law plasma channel. It is found that ponderomotive self-channeling results in the emergence of a solitary wave and catastrophic focusing, which apparently decreases the region for stable propagation in a parameter space of laser power and the ratio of the initial laser spot radius to the channel radius (RLC). Direct numerical simulation confirms the theory of constant propagation, periodic defocusing and focusing oscillations in the parameter space, and reveals a radial instability which prevents the formation of bright and dark solitary waves. The corresponding unstable critical curve is added in the parameter space numerically and the induced unstable region above the unstable critical curve covers that of catastrophic focusing, which shrinks the stable region for laser beams. For the expected constant propagation, the results reveal the need for a low RLC. Further study illustrates that the channel power-law exponent has an obvious effect on the final stable region and laser propagation, for example increasing this exponent can enlarge the stable region significantly, which is beneficial for guiding of the laser and increases the lowest RLC for constant propagation. Our results also show that the initial laser amplitude has an apparent influence on the propagation behavior.

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Section: Introductionmentioning

confidence: 88%

Section: Basic Model and Evolution Equationsmentioning

confidence: 99%

The propagation dynamics and stability of an intense laser beam in a radial power-law plasma channel

Hong¹,

Stankovic²,

Gao³

et al. 2021

Plasma Sci. Technol.

View full text Add to dashboard Cite

show abstract

“…(21) and numerically investigate the properties of the laser pulse evolution, there are two familiar approximation approaches to get some ordinary differential equations (ODEs) from the NLSE which is a partial differential equation (PDE). The first approach is the variational method [29][30][31] and the second one is the paraxial approximation approach. 2,[19][20][21] Both of these two approaches assume the NLSE has a solution…”

Section: Pulse Width Evolutionmentioning

confidence: 99%

“…(23) qualitatively, the pseudo-potential method will be introduced here, which is frequently used in articles researching solitary waves. 29,30 Equation (23) has a form like g 00 ðzÞ ¼ FðgðzÞÞ ¼ À dVðgðzÞÞ dgðzÞ , it is not difficult but a little bit tedious to get the pseudo-potential function…”

Section: Pulse Width Evolutionmentioning

confidence: 99%

Relativistic laser pulse compression in magnetized plasmas

et al. 2015

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The self-compression of a weak relativistic Gaussian laser pulse propagating in a magnetized plasma is investigated. The nonlinear Schrödinger equation, which describes the laser pulse amplitude evolution, is deduced and solved numerically. The pulse compression is observed in the cases of both left- and right-hand circular polarized lasers. It is found that the compressed velocity is increased for the left-hand circular polarized laser fields, while decreased for the right-hand ones, which is reinforced as the enhancement of the external magnetic field. We find a 100 fs left-hand circular polarized laser pulse is compressed in a magnetized (1757 T) plasma medium by more than ten times. The results in this paper indicate the possibility of generating particularly intense and short pulses.

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“…Many papers have investigated these focusing effects in the uniform plasma or preformed channel cases. [14][15][16][17][18][19][20] It has been found that the spot size of an laser pulse can evolve along the propagating axis with constant, periodically focusing and defocusing oscillations, and catastrophic focusing. Further, Zhang et al has investigated the existence conditions of solitary waves in a parabolic plasma channel.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear propagation of an intense Laguerre–Gaussian laser pulse in a plasma channel*

Liu¹,

Zhang²,

Deng³

2021

Chinese Phys. B

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The nonlinear propagation of an intense Laguerre–Gaussian (LG) laser pulse in a parabolic preformed plasma channel is analyzed by means of the variational method. The evolution equation of the spot size is derived including the effects of relativistic self-focusing, preformed channel focusing, and ponderomotive self-channeling. The parametric conditions of the LG laser pulse and plasma channel for propagating with constant spot size, periodically focusing and defocusing oscillation, catastrophic focusing, and solitary waves are obtained. Compared with the laser pulse with fundamental Gaussian (FG) mode, it is found that the effect of vacuum diffraction is reduced by half and the effects of relativistic and wakefield focusing are decreased by a quarter due to the hollow transverse intensity profile of the LG laser pulse, while the effect of channel focusing is the same order of magnitude with that of the FG laser pulse. Thus, the matched condition for the intense LG laser pulse with constant spot size is released obviously, while the parameters of the laser and plasma for the existence of solitary waves nearly coincide with those of the FG laser pulse.

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Effects of relativistic and channel focusing on an intense laser beam propagating in a plasma channel: variational analysis

Cited by 20 publications

References 20 publications

The propagation dynamics and stability of an intense laser beam in a radial power-law plasma channel

The propagation dynamics and stability of an intense laser beam in a radial power-law plasma channel

Relativistic laser pulse compression in magnetized plasmas

Nonlinear propagation of an intense Laguerre–Gaussian laser pulse in a plasma channel*

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