Investigating some parameters of q-Gaussian laser beam in plasma

Abstract

In this work, the problem of relativistic self-focusing of a q-Gaussian laser beam propagating in unmagnetized plasma is studied using a simple heuristic approach. The q-Gaussian profile is analyzed with respect to full width at half maximum (FWHM), intensity distribution, and critical power. A modified version of the Akhmanov method is used to solve the non-linear differential equation for the q-Gaussian beam. The results showed that the FWHM of the q-Gaussian beam substantially depends on the q-factor, and for high values of q, a small part of the beam energy becomes contained within the FWHM. The q-parameter is more effective in the diffraction term than the nonlinear term. The critical power of the q-Gaussian laser beam needed for self-focusing as q→1 becomes extremely high, and in this case, it is very hard to wave-guide such a beam. Moreover, the critical power of self-focusing for q-Gaussian is highly dependent on the value of q-parameter, and as q goes to zero, the critical power needed for self-focusing becomes extremely high. All the derived expressions for the q-Gaussian beam become identical to those for a normal Gaussian beam as q approaches to infinity.

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

“…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.…”

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

“…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.…”

“…Recently, H.A. Salih et al [20] have studied a basic heuristic method that is used to investigate the trouble in the travelling of a q-Gaussian laser beam through unmagnetized plasma for relativistic self-focusing.…”

On the Exploration of q Parameter in Propagation Dynamics of q-Gaussian Laser Beam in Underdense Collisional Plasma

“…In the recent years, many researchers have showed a significant interest in a new class of laser beam profile known as q-Gaussian laser beam [18][19][20][21][22][23][24][25][26]. Most of the studies of laser-plasma interaction have been carried out under the assumption that the intensity distributions of laser beam have a Gaussian nature [27][28][29][30][31][32].…”

“…Recently, H.A. Salih et al [26], have studied a basic heuristic method which is used to investigate the problem of relativistic self-focusing of a q-Gaussian laser beam propagating in unmagnetized plasma medium. The critical power of the q-Gaussian laser beam is required for self-focusing, as q −→ 1 increase significantly.…”