Trapped light bullets into a thermonuclear plasma corresponding to the inertial confinement fusion

In this work the cause of the trapped light bullets has been studied. This phenomenon has received a great deal of attention due to its applications to laser fusion in the experiments of laser-plasma interaction into the field of inertial confinement fusion (ICF). The experiments are related to light boring through dense materials. The generalized nonlinear Schrodinger equation (NLS) gives the solution for the propagation of intense light waves through an inhomogeneus plasma with an appropriate dispersion relation. It has been showed that it was possible localized stationary solutions of a special type of nonlinear Schrodinger equation, for azimuthally polarized electromagnetic waves propagating in z direction , having in mind that the Maxwell equations must have a divergence of electric field not null due to presence of sources. We obtain a solution in two dimensions in cylindrical geometry corresponding to azimuthal and axial direction, corresponding to the normalized azimuthal electric field that is the cause of confinement of light bullet.