Nonlinear optical vortices in isotropic and anisotropic media

The light field transmission in dielectric waveguides and optical fibers with various profiles of refractive index in the linear case has been explored. The nonlinear case of transmission has been considered with the help of envelope dynamics analysis of the flat wave packet dependent on the longitudinal coordinate and time or the complex amplitude dependent on three coordinates and time. Moreover, the vector field dependent on longitudinal coordinates and time has been described in an anisotropic medium. In the present paper, the vector field dependent on three coordinates and time in optical fibers with step and gradient refractive index profiles is considered.