Propagation of Cartesian beams in the non-Kerr law media with power law nonlinearity

In this paper, propagation of the Cartesian beams in the non-Kerr law media with power law nonlinearity is investigated by ABCD matrix method. For this purpose, the transfer matrix and critical power of the Cartesian beams for propagating through these media are presented. Then, the evolutions of the beam width and curvature radius of the Cartesian beams during propagation are analyzed.