OAM-Basis Wavefront Single-Pixel Imaging via Compressed Sensing

Utilizing a complex-number basis for single-pixel imaging (SPI) a spatial wavefront in high quality is still an open issue. To solve this issue, here, we proposed a method called OAM-basis spatial wavefront single-pixel imaging (WSPI) via compressed sensing (CS) for reconstructing a spatial wavefront in high quality. In there, we generate the orbital angular momentum (OAM) beams as the complex-number basis for the measurement, and propose to use the TVAL3 CS algorithm for the wavefront reconstruction, for the first time to the best of our knowledge. The reconstruction method is appropriate for WSPI using a complex-number basis. Both simulations and experiments show that our method is superior to the existing second-order correlation method. It provides a promising complex-number-basis-based WSPI technique for high-quality wavefront reconstruction. Thus, it may find applications involving optical communication, optical detection and imaging, optical information processing and encryption, and so on.