Self-trapping and self-focusing of an elliptical laser beam in a collisionless magnetoplasma

Abstract

The authors have studied the self-trapping and self-focusing-defocusing of an elliptically shaped laser beam in a magnetoplasma. The critical self-trapping power of the beam for the ordinary mode is twice the critical power for the extraordinary mode. On both sides of the critical power required for self-trapping, there are separate values of the critical power for the x-dimension as well as for the y-dimension of the beam. At and above the critical value for the x-dimension, the beam defocuses in both directions while at and below the critical value for the y-dimension, it self-focuses in both directions. Self-trapping is also observed in the case of the ordinary mode at a critical value of the external magnetic field for any power value.

Self-focusing of asymmetric finite Airy-Gaussian laser beams in magnetized plasma

“…The nonlinear part of 𝜖𝜖 ± is different for different physical situations but its dependence on 𝐸𝐸𝐸𝐸 * is a common feature. In collisionless magnetized plasma, 𝜖𝜖 0± and Φ ± can be expressed as [20]…”

Influence of Magnetic field and Decentred Parameter on Self-Focusing of CoshGaussian Laser Beam in Collisional Magnetized Plasma

“…We assume the variation of field in the z-direction to be more rapid than in the x-y plane so that the wave field can be considered as transverse in the zero order approximation and hence no space-charge is generated [27]. Then, E .…”

“…Although Eqs. (6a) and (6b) are coupled with each other and the coupling between these two field configurations is not strong [27]. For simplicity we can assume that one of the two field configuration is zero and so we can study the behaviour of self focusing and self defocusing of the ChG for other field configuration.…”

“…One another global approach is the variational approach and it is used in many other branches of science [18][19][20]. The researcher chooses for the propagation different kinds of laser beam profiles like Gaussian beams [21][22], cosh-Gaussian beams [23][24], Hermite-cosh-Gaussian (HCG) beams [25][26], elliptical laser beams [27], elegant Hermite cosh Gaussian laser beam [28][29], etc Self-focusing and cross-focusing of Gaussian electromagnetic beams in fully ionized collisional magnetoplasma investigated by M. S. Sodha. They concluded that selffocusing for high values of the magnetic field enhances the same for low values of the magnetic field [14].…”

Propagation of circularly polarized quadruple Gaussian laser beam in magnetoplasma

“…Propagation regimes of intense circularly polarized laser beam in the presence of static magnetic field and at relativistic intensity has been discussed by Asthana et al [15]. A number of theoretical investigations on self-focusing of laser beam in magnetoplasma have been published in the past few years by various researchers considering Gaussian, elliptical, Cosh-Gaussian, Hermite-cosh-Gaussian and Super-Gaussian laser beams [16][17][18][19][20][21][22].…”