Temporal compressive complex amplitude imaging based on double random phase encoding

Snapshot temporal compressive imaging offers a potent method for capturing high-dimensional spatiotemporal information from a superimposed 2D image of a dynamic scene. However, despite its notable bandwidth-saving capability, simultaneous acquisition of spatiotemporal intensity and phase information remains challenging due to the phase insensitivity of detectors. To address this issue, a novel temporal compressive complex amplitude imaging (TC–CAI) method based on double random phase encoding is proposed here. Within TC–CAI, the target scene undergoes spatial modulation by a static phase mask in the spatial domain, followed by spatial encoding by an ultrahigh-speed-switchable phase mask in the spatial frequency domain after a Fourier transform. Adjacently, the scene is inversely Fourier transformed and integrally exposed onto a planar detector. Ultimately, the complex amplitude information, sensitive to both intensity and phase, can be faithfully reconstructed over time using a plug-and-play-based deep image prior algorithm. The feasibility, robustness, and superiority of TC–CAI over intensity encoding-based methods are demonstrated through simulation. This approach is expected to pave the way for real-time multidimensional temporal imaging.