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The study of nonlinear effects with high-index dielectric nanoparticles is emerging as a promising alternative to plasmonic systems usually utilized for nonlinear nanophotonics, due to negligible Ohmic losses and low heating in combination with multipolar radiation characteristics of both electric and magnetic nature. In this contribution, we discussed novel nonlinear-optical effects, such as enhanced second- and third-harmonic generation in silicon nanodisks excited in the spectral range close to the magnetic dipole resonance of the individual disk. Each of the nanodisks exhibits both electric and magnetic Mie-type resonances that are shown to affect significantly their nonlinear response. We have observed the third- harmonic radiation intensity that is comparable to that of a bulk silicon slab and demonstrated a pronounced reshaping of the third-harmonic spectra due to interference of the nonlinearly generated waves augmented by an interplay between the electric and the magnetic dipolar resonances. We have also demonstrated all-optical switching of femtosecond laser pulses passing through subwavelength silicon nanodisks at their magnetic dipolar resonance. In z-scan experiments, we have observed a modulation of up to 60% and a spectral resonance shift of 6 nm when pumping the nanostructure at picojoule-per-disk powers. Third-harmonic generation from silicon nanodisks arranged in the form of quadrumers or trimer oligomers with varying distance between the nanoparticles is studied.
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Andrey A. Fedyanin, Alexander S. Shorokhov, Maxim R. Shcherbakov, Dragomir N. Neshev, Yuri S. Kivshar, "Enhancement of nonlinear-optical effects in silicon nanodisks driven by magnetic Mie resonances (Conference Presentation)," Proc. SPIE 10113, High Contrast Metastructures VI, 101130S (28 April 2017); https://doi.org/10.1117/12.2256719