Non‐paraxial theory of self‐focusing/defocusing of Hermite cosh Gaussian laser beam in rippled density plasmas

Abstract

Present research work focuses on study of self-focusing and self-trapping of Hermite cosh Gaussian (HchG) laser beams in rippled density plasma by considering relativistic non-linearity. The coupled non-linear differential equations for the beam width parameters (for modes m = 0, 1, and 2) were derived by employing higher-order correction in comparison to paraxial ray theory by expanding dielectric function and eikonal up to r 4 terms. It is observed that the inclusion of higher-order terms significantly influence the off-axial properties for m ≥ 1 mode indices. Furthermore, the effect of parameters including beam intensity, ripple factor, depth of density modulation, and decentred parameter on self-focusing and self-trapping is analysed and discussed both analytically and numerically. K E Y W O R D SHermite cosh Gaussian beam, relativistic non-linearity, self-focusing, self-trapping 1

Self-focusing/Defocusing of Hermite-Sinh-Gaussian Laser Beam in Underdense Inhomogeneous Plasmas

“…where ε 0 (z) is the linear part, ε 2 (z) and ε 4 (z) are expansion coefficients of ε(r, z). Based on the research results of Pathak et al [30]; using WKB approximation and higher-order paraxial theory, dielectric constant components of different Hermite mode indexes can be obtained in interaction of HshG beams and plasma.For mode index n � 0 2 Laser and Particle Beams…”