Noninvasive three-dimensional imaging through scattering media by three-dimensional speckle correlation

We present a method for noninvasive three-dimensional imaging through scattering media by using a three-dimensional memory effect in scattering phenomena. In the proposed method, an object in a scattering medium is reconstructed from a three-dimensional autocorrelation of speckle images captured by axially scanning an image sensor, based on a three-dimensional phase retrieval algorithm. We experimentally demonstrated our method with a lensless setup by using a three-dimensionally printed object between diffusers.