In this talk, we discuss recent progress in the field of Mie-resonance-based optical nanostructures, enabling unprecedented control over the amplitude, phase, and polarization of optical fields for the generation of multidimensional light beams with spin and orbital angular momentum in linear and nonlinear media.
We report an experimental validation of a machine learning-based design method that significantly accelerates the development of all-dielectric complex-shaped meta-atoms supporting specified Mie-type resonances at the desired wavelength, circumventing the conventional time-consuming approaches. We used machine learning to design isolated meta-atoms with specific electric and magnetic responses, verified them within the quasi-normal mode expansion framework, and explored the effects of the substrate and periodic arrangements of such meta-atoms. Since the implemented method allowed for the swift transition from design to fabrication, the optimized meta-atoms were fabricated, and their corresponding scattering spectra were measured using white light spectroscopy, demonstrating an excellent agreement with the theoretical predictions.
We demonstrate ultrafast tunable, near-infrared to ultraviolet frequency conversion in a chalcogenide glass metasurface based on Mie resonances and quasi-bound states in the continuum resonances, enabled by a phase-locking mechanism between the pump and the inhomogeneous portion of the third harmonic signal. Through phase locking, the pump pulse and the inhomogeneous harmonic component can co-propagate, resulting in the acquisition of the same refractive index and absorption coefficient as the pump. If this process occurs within a cavity, efficient frequency conversion can take place, even in the presence of strong material absorption at the wavelengths of the harmonics. As for all nonlinear processes, a resonant condition at the pump field boosts the nonlinear interactions. Finally, we experimentally show the simultaneous generation of phase-locked structured light beams, including optical vortices and Hopf-links at fundamental and tripled frequencies in all-dielectric nonlinear optical metasurfaces even though the tripled frequency corresponds to the region of high absorption of the dielectric material.
The rapid development of optical technologies, such as optical manipulation and trapping, data processing, optical sensing and metrology, enhanced imaging and microscopy, as well as classical and quantum communications necessitates fundamental studies of the new degrees of freedom for sculpting optical beams in space and time beyond conventionally used amplitude, phase, and polarization. Topological structured optical fields have emerged as one of the most promising candidates for such degrees of freedom. We will discuss our theoretical and experimental studies of “structured light and darkness” generation, detection, and linear and nonlinear light-matter interactions of optical links and knots in complex media such as optical metasurfaces and highly scattering media.
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