Second harmonic generation by relativistic self-focusing of q-Gaussian laser beam in preformed parabolic plasma channel

Singh, Arvinder; Gupta, Naveen

doi:10.1063/1.4905521

Cited by 35 publications

(3 citation statements)

References 50 publications

(50 reference statements)

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“…The achieved results of these curves are in implicit agreement with the outcomes reported by Singh and Gupta. [43] Figure 4 shows the variation of the normalized pulse width parameter (g) with respect to the normalized propagation distance (ξ) while the incident intensity of laser pulse has different values of a 2 = 07, 0.8, 0.9, and 1. As can be seen from these graphs, self-focusing has occurred in all of the states with respect to propagation distance.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Influence of non‐uniform magnetic field on relativistic q‐Gaussian laser pulses propagating in magnetized plasmas

Daraei

Abedi‐Varaki

2022

Contributions to Plasma Physics

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In this work, the influence of a non‐uniform magnetic field on the self‐focusing of relativistic q‐Gaussian (QG) laser pulse propagating in magnetized plasma is studied. Utilizing the non‐linear Schrodinger equation with higher‐order paraxial approximation, the higher‐order terms of the dielectric function and the eikonal in the presence of a non‐uniform magnetic field have been obtained. Numerical results reveal that while the non‐uniform magnetized field decreases, the pulse width parameter (g) decreases, and subsequently the spot‐size of the laser declines too. As a consequence, the QG laser pulse will be more focused. Besides, it is shown that increasing the values of q‐parameter leads to a decline in self‐focusing qualities and, at lower values of q‐parameter, sharp self‐focusing of QG laser pulse is observed. Furthermore, it is found that when the QG laser pulse is propagated in the magnetized plasma, the amplitude of the pulse width decreases with decreasing the δ‐parameter, and consequently, the laser pulse becomes more compressed. Moreover, it is observed that the application of a non‐uniform magnetic field improves the self‐focusing of the QG laser pulse propagated through magnetized plasma.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

Influence of non‐uniform magnetic field on relativistic q‐Gaussian laser pulses propagating in magnetized plasmas

Daraei

Abedi‐Varaki

2022

Contributions to Plasma Physics

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“…7. To avoid the detrimental effects of self-focusing at oblique incidence, it would be perhaps possible to use a q-Gaussian profile of the laser beam [26][27][28][29][30][31][32][33] . The critical power of a q-Gaussian beam for relativistic self-focusing is highly dependent on the value of the q-parameter.…”

Section: A) B)mentioning

confidence: 99%

Electron injection on steep ramp-up plasma density profiles in high repetition rate laser-plasma wake-field accelerators

Petržı́lka

Gajdos

Krůs

2023

Laser Acceleration of Electrons, Protons, and Ions VII

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Electron acceleration by laser pulses with high repetition rate can be used for technical applications. To reach conditions for the wake-field laser acceleration, it was demonstrated recently in experiments that it is beneficial to use near single cycle laser drive pulses with sub-4 fs duration, with narrow waists. To explore possible electron density ramp-up injection as an alternative to ramp-down and ionization injections, we performed numerical simulations of electron bunches generation in the ramp-up region. The PIC code Epoch2D and input parameters near to experiments were used. We assumed thin plasma slabs with super Gaussian density profiles of order 4-80, FWHM about 30 µm. We found that density ramp-up injected bunches can have charges several times higher than those obtained by ionization injection. There can be created a group of up to ten bunches in a sequence of bubbles, with not too mutually different maximum energy and charges. At oblique incidence of drive pulses on steep ramp up profiles, we find significant enhancement of the first bunch charge. For large slant angles -45 or 45 degrees, the bunch charge enhancement is about twenty times. We conclude that the ramp-up injection can be a useful alternative injection on steep enough density profiles.

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“…For example, a class of Raman-type instabilities may be stabilized in a leaky density channel [18,19] and good stable laser transmission with high quality in inhomogeneous plasmas can be achieved in a hollow channel [20][21][22][23][24][25]. In addition, recent work on the development of q-Gaussian, super-Gaussian and quadruple Gaussian lasers [26][27][28][29][30][31][32] may inspire investigation of laser guiding in non-parabolic channels. In experiments, various channel structures can be achieved by controlling some of the experimental parameters [4,7,[33][34][35].…”

Section: Introductionmentioning

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.

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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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Second harmonic generation by relativistic self-focusing of q-Gaussian laser beam in preformed parabolic plasma channel

Cited by 35 publications

References 50 publications

Influence of non‐uniform magnetic field on relativistic q‐Gaussian laser pulses propagating in magnetized plasmas

Influence of non‐uniform magnetic field on relativistic q‐Gaussian laser pulses propagating in magnetized plasmas

Electron injection on steep ramp-up plasma density profiles in high repetition rate laser-plasma wake-field accelerators

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

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