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Light beams with spatially variant states of polarization (SOPs) have attracted increasing interest recently because their vector nature brings unique perspectives to optics and photonics. Nevertheless, their applications are challenged when transposed to scattering media, because of the inherent depolarization effects arising from multiple scattering. Wavefront shaping techniques are expected to confront these challenges; however, shaping spatially variant SOPs in addition to amplitude and phase of light through scattering media has not been explored yet. Here, we present a general framework based on the vector transmission matrix to simultaneously tailor these properties. Further, we demonstrate its use in producing multiple focal spots and structured light beams with spatially variant SOPs behind the scattering media, which is confirmed by simulations. As a particular application, by encoding information into light's spatially distributed SOPs, we are able to directly encrypt multiplexed grayscale images into a single laser beam behind a scattering medium. Our work is expected to find potential applications such as optical imaging in deep tissues, optical encryption, and communication. [ABSTRACT FROM AUTHOR]

We achieved the soliton-based miniaturized integration of electro-optic devices in a photorefractive paraelectric bulk crystal, by driving self-trapping through an external bias field in a top-sided electrode geometry. The ensuing spatially resolved electric field manifests a localized voltage-dependent region in which a quasi-uniform field leads to screening-like self-trapped waves at considerably low voltages without sample miniaturization, along with their electro-optic beam manipulation. By replicating the electrode structure, our achievements constitute the basic building block that paves the way to digitally addressable volume photonic manipulator arrays. [ABSTRACT FROM AUTHOR]