Transformation of the orbital and spin parts of the angular momentum of laser beams in the course of their interaction in nonlinear gyrotropic media in the framework of classical electrodynamics

Nonlinear optical mixing of light waves, carrying both orbital and spin angular momentum, can lead to conversion between spin and orbital angular momenta of the fundamental and signal photons. From this point of view, a number of classical problems of nonlinear optics of media with local and nonlocal nonlinear response were studied analytically and numerically in which the propagation of wide class of uniform and nonuniform elliptically polarized waves have been discussed.