q-Gaussian Laser Beam Research Articles

Self-focusing of high power q-Gaussian laser beam in collisional magnetized plasma

Self-focusing of high power q-Gaussian laser beam in collisional magnetized plasma

Effect of self focusing on higher harmonic generation of q-Gaussian laser beam in graded index plasma channel

Effect of self focusing on higher harmonic generation of q-Gaussian laser beam in graded index plasma channel

Dynamics of q-Gaussian laser beam in thermal quantum plasma: self-focusing self-trapping and self-phase modulation

Dynamics of q-Gaussian laser beam in thermal quantum plasma: self-focusing self-trapping and self-phase modulation

Self action effects of q-Gaussian laser beam in preformed parabolic plasma channels: effect of nonlinear absorption

Self action effects of q-Gaussian laser beam in preformed parabolic plasma channels: effect of nonlinear absorption

Self-Focusing of Rippled Elliptical q-Gaussian Laser Beam in Plasma with Axial Density Ramp

Self-Focusing of Rippled Elliptical q-Gaussian Laser Beam in Plasma with Axial Density Ramp

Enhanced self-focusing of q-Gaussian laser beam in underdense plasma under the combined effect of density ramp and axial magnetic field

Enhanced self-focusing of q-Gaussian laser beam in underdense plasma under the combined effect of density ramp and axial magnetic field

The effect of density ramp on self-focusing of q-Gaussian laser beam in magnetized plasma

The effect of density ramp on self-focusing of q-Gaussian laser beam in magnetized plasma

Stimulated Raman Scattering of Q-Gaussian Laser Beam in an Unmagnetized Plasma

Stimulated Raman Scattering of Q-Gaussian Laser Beam in an Unmagnetized Plasma

Combined effect of plasma density ramp and wiggler magnetic field on self-focusing of q-Gaussian laser beam in underdense plasma

Combined effect of plasma density ramp and wiggler magnetic field on self-focusing of q-Gaussian laser beam in underdense plasma

Propagation characteristics of a high-power beam in weakly relativistic-ponderomotive thermal quantum plasma

The present work explores the propagation characteristics of high-power beams in weakly relativistic-ponderomotive thermal quantum plasma. A q-Gaussian laser beam is taken in the present investigation. The quasi-optics equation obtained in the present study is solved through a well-established Wentzel–Kramers–Brillouin approximation and paraxial theory approach for obtaining the second-order differential equation describing the behavior of beam width of the laser beam. Further, a numerical simulation of this second-order differential equation is carried out for determining the behavior of the beam width with dimensionless distance for established laser–plasma parameters. The comparison of the present study is made with ordinary quantum plasma and classical relativistic plasma cases.

Q-Gaussian laser beam for second-harmonic generation from unmagnetized plasma

q-Gaussian laser beam for second-harmonic generation from unmagnetized plasma

Relativistic Self-Focusing of a q-Gaussian Laser Beam in Plasma by the Influence of Magnetic Field

Relativistic Self-Focusing of a q-Gaussian Laser Beam in Plasma by the Influence of Magnetic Field

Self-focusing of a q-gaussian laser beam under the influence of an exponential plasma density ramp in plasma

The goal of the current manuscript is to investigate how a plasma density ramp affects the ability of a q-Gaussian laser beam (q-GLB) to self-focus in plasma. The laser beam exhibits oscillatory self-focusing and defocusing behaviour with increasing distance of propagation. We used an exponential plasma density ramp to combat this defocusing tendency, allowing the particular laser beam to achieve a minimal spot size and nearly retain it up to several Rayleigh lengths. In addition to that, it has been observed that self-focusing increases with increasing q-values and the laser intensity. However, the lower values of q suggest strong self-focusing. By warily selecting the plasma and laser parameters, the density ramp could play a key role in the self-focusing of q-Gaussian laser. Self-focusing is seen to become stronger as propagation distance increases and the q-parameter affects the behaviour of the beam-width parameter in the plasma as shown.

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

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.

Excitation of ion acoustic waves by self-focused q-Gaussian laser beam in plasma with axial density ramp

Excitation of ion acoustic waves by self-focused q-Gaussian laser beam in plasma with axial density ramp

Investigating some parameters of q-Gaussian laser beam in plasma

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.

Stimulated Raman scattering of self-focused elliptical q-Gaussian laser beam in plasma with axial density ramp: effect of ponderomotive force

Stimulated Raman scattering of self-focused elliptical q-Gaussian laser beam in plasma with axial density ramp: effect of ponderomotive force

Relativistic effects on electron acceleration by elliptical q-gaussian laser beam driven electron plasma wave

Relativistic effects on electron acceleration by elliptical q-gaussian laser beam driven electron plasma wave

Stimulated Raman scattering of self focused elliptical q-Gaussian laser beam in plasma with axial temperture ramp: effect of ponderomotive force

The phenomenon of stimulated Raman scattering (SRS) of elliptical q-Gaussian laser beams interacting nonlinearly with underdense plasmas has been investigated theoretically. Using variational theory semi analytical solutions of the coupled nonlinear wave equations for the three waves (pump, EPW and scattered) have been obtained under W.K.B approximation technique. The equations so obtained have been solved numerically to envision the effects of laser as well as plasma parameters on the dynamics of pump beam and further its effect on the power of scattered wave. It has been observed that power of the scattered wave is significantly affected by the self focusing effect of pump beam.

Electron plasma wave excitation by a q-Gaussian laser beam and subsequent electron acceleration

In this paper, we theoretically study the propagation dynamics of a q-Gaussian laser beam in a plasma by considering the relativistic and ponderomotive nonlinearities. The q-Gaussian laser beam exhibits unique characteristics while interacting with the plasma. The q-Gaussian laser beam redistributes the plasma density in a different way, which affects the laser self-focusing. A comparative study of the self-focusing for Gaussian and q-Gaussian laser beams is reported. The results obtained from numerical analysis reveal a stronger self-focusing of the q-Gaussian laser beam in plasmas, which is desirable to excite a large amplitude plasma wave for electron acceleration by extending the interaction length. We then extended this study to investigate the electron plasma wave excitation by the q-Gaussian laser beam. The electron plasma wave is driven more efficiently by the q-Gaussian laser beam. Our results show that the electron plasma wave field intensity enhances more than twofold for the q-Gaussian laser beam in comparison with the case of a Gaussian laser beam. The electron plasma wave excited by a q-Gaussian beam can accelerate the plasma electrons to higher energies. Numerical results are presented for the established set of laser and plasma parameters.