Effects of relativistic and channel focusing on q -Gaussian laser beam propagating in a preformed parabolic plasma channel

Wang, Li; Hong, Xue-Ren; Sun, Jianan; Tang, Rong-An; Yang, Yang; Zhou, Wei-Jun; Tian, Junliang; Duan, Wen-Shan

doi:10.1016/j.physleta.2017.04.033

Cited by 23 publications

(8 citation statements)

References 25 publications

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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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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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“…Consider the propagation of a linearly polarized q ‐Gaussian laser beam

\begin{matrix} E_{3} = E_{3} ((),, r, z) e^{- ι ((), ω_{0} t - k_{0} z)} e_{x} \\ E_{3} E_{3}^{⋆} = \frac{E_{30}^{2}}{f_{3}^{2}} {(1 + \frac{r^{2}}{{italicqr}_{0}^{2} f_{3}^{2}})}^{- q} \end{matrix}

through the plasma channel. The parameter q describes the deviation of the intensity profile of the laser beam from a Gaussian distribution.…”

Section: Dielectric Function Of Plasma Channel For a Q‐gaussian Lasermentioning

confidence: 99%

Non‐linear interaction of a q‐Gaussian laser beam in a plasma channel created by the ignitor‐heater technique

Gupta

2018

Contributions to Plasma Physics

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This paper presents a theoretical investigation of the propagation characteristics of a q-Gaussian laser beam propagating through a plasma channel created by the ignitor-heater technique. The ignitor beam creates the plasma by tunnel-ionization of air. The heater beam heats the plasma electrons and establishes a parabolic channel. The third beam (q-Gaussian beam) is guided in the plasma channel under the combined effects of density non-uniformity and non-uniform ohmic heating of the plasma channel. Numerical solutions of the non-linear Schrodinger wave equation (NSWE) for the fields of laser beams are obtained with the help of the moment theory approach. Particular emphasis is placed on the dynamical variations of the spot size of the laser beams and the longitudinal phase shift of the guided beam with the distance of propagation. KEYWORDSoptical guiding, phase shift, plasma channel, q-Gaussian, self-focusing INTRODUCTIONWith the rapid development of laser technology, fueled by the advent of the chirped pulse amplification (CPA) technique, [1] ultra-intense lasers have become available, leading to a continuously extending research interest on laser-matter interactions. The laser intensity is always a key factor that decides the physical phenomena and intrinsic schemes. Currently, since the enhancement of laser power has gotten into a bottleneck at the order of 10 PW, secondary optical modulation and tight focusing of the laser beams have become important approaches to achieve higher power densities. However, the laser intensities and spot sizes coming from conventional solid-state optics are limited by the damage threshold and the diffraction effects, respectively. To overcome these limitations, pre-formed plasma channels have been proposed as a promising scheme, which can support high intensities and compensate diffraction. [2,3] As with an optical fibre, a plasma channel can provide optical guidance if the index of refraction peaks on the axis, which can be achieved with a plasma density profile that has a local minimum on the axis. To guide highly intense laser beams, plasma channels must be produced in deeply ionized gases, where the density profile cannot be changed by the guided beam through further ionization. An increase in the density on the axis would lead to ionization-induced refraction and hence negate the guiding. To meet these requirements, Volfbeyn et al. [3] developed a novel technique known as the ignitor-heater technique to create plasma channels for the long-range propagation of laser beams. The physics of guiding the laser beam is as follows: the ignitor beam creates a plasma by tunnel-ionization of an ambient gas. The heater beam heats the plasma and thereby creates a concave parabolic electron density profile so that the plasma density becomes minimum on the axis compared to that at the edges of the channel where the density is maximum. Therefore, the refractive index becomes a maximum on the axis and decreases towards the edges.When a third laser beam is passed through the plasma channel, ...

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“…Most of the studies on the interaction of laser-plasma have been conducted by assuming Gaussian distribution of laser beam [11][12][13]. But in recent years, there has been considerable interest shown by many researchers towards the q-Gaussian laser beam [14][15][16][17][18][19][20]. P.K.…”

Section: Introductionmentioning

confidence: 99%

Influence Of Critical Beam Power On Propagation Dynamics Of q-Gaussian Laser Beams In Isotropic Collisional Plasma

Khandale

Takale

Patil³

et al. 2023

J. Phys.: Conf. Ser.

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In current work, the beam-width parameter (BWP) equation is reduced to two variables such as q and critical beam power (p 0) which govern the propagation dynamics and intervals of critical beam power p 0 of a q-Gaussian laser beam have been investigated. The non-linear dependence of dielectric function in collisional plasma used herein is primarily because of heterogeneous heating of carriers along the wavefront of the laser beam. The influence of intervals of p 0 is further used to explore propagation dynamics of q-Gaussian laser beam in isotropic, homogeneous and collisional plasma has been studied. The Akhmanov’s parabolic equation approach under WKB (Wentzel-Kramers-Brillouin) and paraxial approximations are used in current work. The results have been found reasonably interesting which are revealed graphically and discussed.

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Effects of relativistic and channel focusing on q -Gaussian laser beam propagating in a preformed parabolic plasma channel

Cited by 23 publications

References 25 publications

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

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

Non‐linear interaction of a q‐Gaussian laser beam in a plasma channel created by the ignitor‐heater technique

Influence Of Critical Beam Power On Propagation Dynamics Of q-Gaussian Laser Beams In Isotropic Collisional Plasma

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