All-optical polarization control and routing by nonlinear interferometry at the nanoscale

Optical metasurfaces are rapidly establishing as key-enabling platforms for nanophotonics applications. Along with the ability of taming light in subwavelength thicknesses, they can feature multiple functionalities in one device. The generation and control of light polarization by metasurfaces already provided a route towards ultracompact polarimetry devices in the linear regime. If translated to the nonlinear optical regime it may become a key-enabling tool in nonlinear imaging, optical holography and sensing. Here, we report the experimental ultrafast all-optical polarization modulation of upconverted light by all-dielectric metasurfaces via nonlinear interferometry. By controlling the relative phase between a pump beam at $\omega$ and its frequency-double replica at 2$\omega$, we can set the phase relation between two frequency-degenerate upconverted processes at 3$\omega$ $-$ Sum-Frequency Generation (SFG) and Third-Harmonic Generation (THG) $-$ stemming from an AlGaAs metasurface. By exploiting the opposite parity of the two nonlinear process and tuning their relative powers, we can achieve modulation of the polarization states of the light emitted at 3$\omega$ between linear and circular states with a degree of circular polarization (DOCP) up to 83$\%$. In particular, circularly polarized light features opposite handedness symmetrically located in the Fourier space, at coincidence with the first diffraction orders of the metasurface. Moreover, by toggling the phase delay by $\pi$, the handedness can be fully switched between the diffraction. Our work adds an additional layer of modulation in polarization beyond intensity to all-optical routing with precise phase control. The capability to route circular polarization states in the k-space holds significant potential for chiral sensing and advanced imaging techniques.