Vectorial Manipulation of High-Resolution Focusing Optical Field through a Scattering Medium

The manipulation of the polarization states of the light transmitted through a scattering medium has become an emerging field due to the novel fundamental physics interest and potential applications. Here, the manipulation of the polarization states in the focusing high-resolution optical field (points and vector beams) after passing a scattering medium is theoretically and experimentally demonstrated. The vector transmission matrix (VTM) of a scattering medium is measured with the vector basis of orthogonally circular polarizations by the two-dimensional (2D) holographic grating combined with the four-step phase-shifting method. The incident wavefronts for the creation of desired high-resolution optical fields through a scattering medium are modulated according to the calculation with the VTM of the medium. The theoretical and experimental results show that the constructed high-resolution optical field with spatially variant states of polarization can be realized through frosted glass. These results provide a new way to vectorially manipulate the constructed high-resolution optical field by passing through a scattering medium.