The combined effect of relativistic and ponderomotive nonlinearities on the self-focusing of an intense cosh-Gaussian laser beam (CGLB) in magnetized plasma have been investigated. Higher-order paraxial-ray approximation has been used to set up the self-focusing equations, where higher-order terms in the expansion of the dielectric function and the eikonal are taken into account. The effects of various lasers and plasma parameters viz. laser intensity (a 0 ), decentred parameter (b), and magnetic field ( c ) on the self-focusing of CGLB have been explored. The results are compared with the Gaussian profile of laser beams and relativistic nonlinearity. Self-focusing can be enhanced by optimizing and selecting the appropriate laser-plasma parameters. It is observed that the focusing of CGLB is fast in a nonparaxial region in comparison with that of a Gaussian laser beam and in a paraxial region in magnetized plasma. In addition, strong self-focusing of CGLB is observed at higher values of a 0 , b, and c . Numerical results show that CGLB can produce ultrahigh laser irradiance over distances much greater than the Rayleigh length, which can be used for various applications.
KEYWORDScosh-Gaussian laser beam, laser plasma interaction, magnetized plasma, relativistic-ponderomotive nonlinearity, self-focusing
INTRODUCTIONDue to the rapid development of extremely high intensity (>10 18 W/cm 2 ) and ultrashort duration (femtosecond) laser technology, [1,2] the interaction between intense laser beams and plasma becomes highly nonlinear and relativistic. The relativistic interaction of laser beams with plasma has extensive applications such as fast ignition in inertial confinement fusion (ICF), electron acceleration, and new radiation sources. [3][4][5] These applications require transport of relativistic laser pulses with minimal loss in intensity over a considerable distance (several Rayleigh lengths) in the plasma. When such an intense laser beam propagates through the plasma, various instabilities and nonlinear phenomena such as self-focusing, filamentation, laser pulse distortion, stimulated Raman scattering, stimulated Brillouin scattering, two plasmon decay etc. take place, [6] which degrade the yield of these applications. To achieve the maximum yield of these applications, the laser-plasma system should be free of the parametric instabilities. Therefore, the study of the propagation of ultraintense laser pulses through plasmas is of great interest in laser plasma interactions. Self-focusing is the most important nonlinear process in laser-plasma interactions, [7][8][9][10][11][12][13][14][15] which is induced by the change in the refractive index of plasma exposed to intense laser radiation. This process affects the uniformity of energy deposition inside the plasma and leads to seeding and growth of hydrodynamic instabilities. The problem of self-focusing of laser radiation in plasma has been the subject of intense study since the last few decades. The nature of the self-focusing is strongly affected by the intensit...