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Magnetization-induced second-harmonic generation is observed in magnetic photonic-crystal microcavities. The microcavity is formed from a half-wavelength-thick Bi-substituted yttrium-iron-garnet film sandwiched between two high-finesse dielectric Bragg reflectors. The transversal nonlinear magneto-optical Kerr effect reveals itself in magnetization-induced variations of the intensity and the relative phase of the second-harmonic wave. The variations reach the factor of 4 in intensity and 180°in phase for opposite directions of the dc-magnetic field. The longitudinal and polar nonlinear magneto-optical Kerr effects manifest themselves in the considerable, up to 50°, rotation of the second-harmonic wave polarization.

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Three-dimensional magnetophotonic crystals (MPCs) based on artificial opals infiltrated by yttrium iron garnet (YIG) are fabricated and their structural, optical, and nonlinear optical properties are studied. The formation of the crystalline YIG inside the opal matrix is checked by x-ray analysis. Two templates are used for the infiltration by YIG: bare opals and those covered by a thin platinum film. Optical second-harmonic generation (SHG) technique is used to study the magnetization-induced nonlinear-optical properties of the composed MPCs. A high nonlinear magneto-optical Kerr effect in the SHG intensity is observed at the edge of the photonic band gap of the MPCs.

Third-order nonlinear optical effects in photonic microcavities are studied. Significant light defocusing in the thin nonlinear microcavity spacer was observed. The polarization self-action effect was detected, when the large nonlinear polarization rotation angle arises when exciting the microcavity mode, being proportional to the radiation intensity.

Structural features of diamondlike metal-doped carbon films are studied by means of optical second-harmonic generation (SHG). A high interfacial sensitivity of the SHG probe and its significant enhancement in metal nanoparticles allows one to distinguish between clusterlike and amorphous atomic scale structure of carbon-metal composites. These films appear to retain a stable amorphous atomic-scale structure in a wide range of metal concentration above the percolation threshold. Atomic-to-mesoscopic scale structural transition in diamondlike metaldoped carbon films is observed, which takes place under the thermal annealing.

Magnetization-induced optical third-harmonic generation (MTHG) is observed in magnetic nanostructures: Co and F e nanolayers and granular films containing Co nanoparticles. Magnetizationinduced variations of the MTHG characteristics in these nanostructures exceed the typical values of linear magneto-optical Kerr effect by at least an order of magnitude: the maximum of magnetic contrast in the MTHG intensity is up to 0.2, the angle of polarization rotation for MTHG is 10 • and the relative phase shift is up to 100 • . PACS numbers:Magneto-optics, with its more than century-long history, remains one of the most important experimental methods in studies of magnetism. Recently, significant attention has been directed towards nonlinear magnetooptics [1]: nonlinear magneto-optical Faraday and Kerr effects in second-harmonic generation (SHG) were observed experimentally in yttrium-iron-garnet films [2], then at surfaces of magnetic metals [3], in magnetic multilayers [4] and nanogranules [5]. Experimental measurements [2-5] and theoretical estimates [6] reveal the typical magnitudes of the magnetization-induced effects in SHG: the magnetization-induced variations of the SHG intensity and rotation of the second-harmonic (SH) wave polarization, may exceed the linear magneto-optical Kerr effect (MOKE) by orders of magnitude. * Electronic address: aktsip@shg.ru † Electronic address: mur@shg.ru

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