Single-shot noninvasive three-dimensional imaging through scattering media

We present a method for single-shot three-dimensional imaging through scattering media with a three-dimensional memory effect. In the proposed computational process, a captured speckle image is two-dimensionally correlated with different scales, and the object is three-dimensionally recovered with three-dimensional phase retrieval. Our method was experimentally demonstrated with a lensless setup and was compared with a multi-shot approach used in our previous work [Y. Okamoto, et al., Opt. Lett. 44, 2526-2529 (2019)].