Self-focusing in uniaxial gyrotropic media: Qualitative and numerical investigation

Abstract

We consider the self-focusing in uniaxial gyrotropic media at axially symmetric geometry, i.e., when the wave beam and the gyration vector g are parallel to the principal axis. Dissipation is neglected and the nonlinearity is of the Kerr type. It is shown that when g is directed along the wave normal, i.e., g⋅n>0, there is a detrapping of the nonlinearly self-trapped wave beam. The detrapping increases with the narrowing of the beam and this results in the final defocusing of the wave. If g is antiparallel to the wave normal, (g⋅n)