The vortex lattices in large aperture lasers

The work describes the dynamics of wide aperture laser with taking into account of transverse distribution of the electromagnetic field in cavity. The solutions in form of the vortex lattices are obtained numerically and analytically. We show that the vortex lattices can be fixed and moving (the vortexes oscillates just as molecules oscillates in crystal lattice). With the exceeding of pump power over threshold the vortex lattices collapse and chaotic gas of vortexes occur, the optical turbulence is observed.