A simultaneous breaking of space and time-reversal symmetry leads to a coexistence of crystallographic χᵢⱼₖ⁽²⁾(2ω) and magnetization-induced χᵢⱼₖₗ⁽³⁾(2ω) electric-dipole type contributions to the nonlinear optical susceptibility in the same medium. As a consequence, a new transversal nonlinear magneto-optical effect arises that is linear in M. This effect is experimentally demonstrated in thin films of magnetic garnets, as well as large effects quadratic in M. We suggest a novel method to distinguish the two susceptibility contributions based on their different transformation properties.
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Павлов et al. (1997) studied this question.
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