Single-pixel correlated imaging with high-quality reconstruction using iterative phase retrieval algorithm

A single-pixel correlated imaging scheme based on iterative phase retrieval algorithm, which can encode an original object into a series of measured intensities, is proposed in this paper. Initially, a plenty of intensity patterns are derived from the Hadamard matrix with the certain order, and a pair of noisy phase profiles can be obtained by decomposing an intensity pattern via an iterative phase retrieval algorithm. When a pair of phase profiles is cascaded and sequentially embedded into two spatial light modulators in the proposed optical configuration, a measured intensity can be recorded by the bucket detector without spatial resolution. By only making the use of second-order correlation algorithm, the object with high quality can be reconstructed with measured intensities. Meanwhile, the number of recording the measured intensities can be reduced greatly in the process of imaging, which results in high efficiency. The reported approach provides an effective alternative for enriching the related research on single-pixel correlated imaging systems.