We demonstrates the presence of nonlinear magnetization-induced terms in magnetically ordered crystals in the second-harmonic generation (SHG) effect. The nonlinear terms have been evidenced experimentally in magnetic garnet film and explained theoretically in the frame of a developed phenomenological model. The rotational anisotropy of the SHG intensity as a function of the azimuthal angle of the film at normal incidence in transmission geometry has been investigated. The effect of the magnetic field induced by changing the strength and direction of the applied magnetic field were analyzed. By residuum of SHG intensity on opposite sides of the applied magnetic field, the MSHG achieved.

Keywords: Garnet, Magnetic induced, Point symmetry, Second harmonic generation, Transmission geometry

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