Single-pixel compressive diffractive imaging with structured illumination.

We present a method for diffractive imaging with a single photodetector and structured illumination based on compressive sensing. A complex-amplitude object is sequentially illuminated with randomly structured coherent light patterns, and the intensities of each propagating field are measured with a single photodetector. This measurement process does not use any reference light or imaging optics. The object complex field is reconstructed from the sequentially measured intensities with an algorithm in which compressive sensing and phase retrieval are integrated. We demonstrate the proposed method experimentally.