Methods and devices enabling simultaneous sorting light based on its wavelength, polarization, and direction of propagation are disclosed. The disclosed device maps different combinations of input light properties to different corresponding pixels on an underlying image sensor array, allowing for compressed sensing of multiple light properties simultaneously. The described devices can be designed using advanced inverse design and topology optimization techniques, including adjoint-based optimization and level-set methods. Exemplary performance results show smooth, predictable behavior for input states between the explicitly optimized states, allowing it to interpolate and classify a continuum of input light properties.