Nonlinear magneto-optical phenomena related to the process of second harmon
ic generation in anisotropic films of different classes of symmetry are dis
cussed. In the electric-dipole approximation two kinds of nonlinearity of c
rystallographic and magnetic origin may coexist in noncentrosymmetric cryst
als. The interference between the corresponding nonlinear optical waves res
ults in novel magneto-optical effects, such as a transversal effect linear
in magnetization at normal incidence and a circular magnetic asymmetry with
no equivalence between light helicity and magnetization direction change.
Epitaxial films of magnetic garnets grown on substrates with different crys
tallographic orientations were taken as a model anisotropic system for expe
rimental studies. The unambiguous separation of the crystallographic and ma
gnetic contributions to the second harmonic generation is demonstrated with
the help of rotational anisotropy experiments. A theoretical model for the
nonlinear light propagation in noncentrosymmetric magnetic films is develo
ped. Calculations based on this model are found to be in good agreement wit
h the experimental results.