Optical second and third harmonic generation (SHG and THG) on epitaxial ferromagnetic EuO films couple linearly to the ferromagnetic order parameter. This is exemplified by investigating the effect of Gd-doping of EuO by SHG and the magnetization of very thin EuO films by the third-order magneto-optical rotation associated to THG. In contrast to the Faraday rotation the latter does not depend on the thickness of the film.
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