Holographic imaging with a single pixel sensor

Abstract

Imaging techniques based on CCD sensors presenting very high number of pixels enable to record images with high resolution. However, the huge storage load and high bandwidth required to store and transmit digital holographic information are technical bottlenecks that should be overcome for the future of holographic display. Techniques to capture images with single pixel sensors have been greatly improved recently with the development of compressive sensing algorithm (CS). Since interference patterns may be considered sparse, the number of measurements required to recover the information with CS is lower than the number of pixels of the reconstructed image. In addition, this method does not need any scanning system. One other advantage of single pixel imaging is that the cost of recording system can be dramatically reduced since high-resolution cameras are expensive while compressive sensing exploits only one pixel. In this paper, we present an imaging system based on phase-shifting holography. First, simulations were performed to confirm that hologram could be reconstructed by compressive sensing even if the number of measurements was smaller than the number of pixels. Then, experimental set-up was realized. Several holograms with different phase shifts introduced by quarter and half wave plates in the reference beam were acquired. We demonstrated that our system enables the reconstruction of the object.