Impact of Kerr Nonlinearity on Laser Beam Self-Focusing in Dielectric Materials

Abstract

This paper presents a detailed study on the self-focusing of laser beams in dielectric materials with Kerr nonlinearity. The theoretical framework underlying this phenomenon derives the basic nonlinear Schrödinger equation (NLSE) and discusses its implications for beam propagation [1,2,3,4]. Numerical simulations using the Runga-kutta method are performed to analyse the beam dynamics under various conditions, highlighting the critical power threshold and the effects of diffraction and nonlinearity on the beam profile. A cylindrical core has been presented. The Kerr nonlinearity acts as a perturbation on the geometrically built-in radial inhomogeneity of the dielectric fiber. The beam-width parameter at different axial points is studied using varying parameters. An appreciable decrease in critical beam power for focusing has been reported. It has been found that when the beam power attains this threshold value, it propagates in a self-trapped waveguide mode. The propagation characteristics of the laser beam are compassionate concerning the delta parameter of the fiber, and the self-focusing length decreases with the increase in incident beam power. Nonlinear guided wave optics has become a field of tremendous importance because of its applications in soliton transmission and the development of a variety of devices, such as frequency doublers for constructing blue lasers, optical power filters, etc. It is of interest, therefore, to look into the effects