Self-Focusing and de-Focusing of Intense Left- and Right-Hand Polarized Laser Pulse in Hot Magnetized Plasma in the Presence of an External Non-Uniform Magnetized Field

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

“…It should be noted that while a QG laser pulse propagates within the magnetized plasma, the dielectric constant gets modified owing to the relativistic nonlinearity which leads to the self-focusing and self-trapping of the laser pulse in the plasma medium. In order to evaluate the effect of a non-uniform magnetic field on the QG laser pulse, Equations ( 20), ( 21), (22), and (23), can be solved numerically. Indeed, these equations are coupled with Ordinary Differential Equations (ODE) and we solve them by the fourth-order Runge-Kutta method.…”

“…We consider the propagation of QG laser pulse along the z-axis in magnetized plasma. Furthermore, a non-uniform positive guide magnetic field with slope constant parameter δ in plasma is employed along the z-direction as follows [22] :…”

“…We consider the propagation of QG laser pulse along the z‐axis in magnetized plasma. Furthermore, a non‐uniform positive guide magnetic field with slope constant parameter δ in plasma is employed along the z‐direction as follows [ 22 ] : $$$$ \mathbf{B}={\mathbf{B}}_0\left(1+\delta z\right)\;{\hat{\mathbf{e}}}_z. $$$$ Here, B 0 is the result of the external magnetic field strength at z = 0.…”

“…In the recent years with the advent of high-power lasers, theoretical and experimental studies of the interaction of intense laser pulses with plasmas are active areas of research due to their applications in the fields of plasma wakefields, [1][2][3][4][5][6][7][8] Inertial Confinement Fusion (ICF), [9][10][11] fusion harmonics generation, [12,13] X-ray lasers, [14,15] and laser fusion. [16][17][18] In addition, the interaction of intense laser pulse with plasma can lead to a number of nonlinear effects including, self-focusing, [19][20][21][22][23][24][25] self-compression, [26][27][28] Raman and Brillouin scattering instabilities, [29] as well as modulational and filamentational instabilities. [30][31][32] As is well known, self-focusing is a non-linear optical phenomenon that can occur as a result of intensity-dependent refraction.…”

Non‐linear absorption of an intense laser pulse propagating in wiggler‐assisted underdense collisional plasma

“…The propagation of intense laser pulses in plasma with a wide range of their applications is an interesting area of research. The propagation of intense laser pulse in plasma leads to numerous instabilities and non‐linear effects including, Raman and Brillouin instabilities, modulational and filamentational instabilities, laser self‐focusing, and self‐modulation properties . Furthermore, these processes play a significant role in advanced physical events such as, laser fusion, X‐ray lasers, laser ablation, inertial confinement fusion (ICF), and optical harmonic generation .…”