Coherent optical imaging inside scattering media at substantial depths is key for biomedical applications, as well as various environmental and materials sensing situations, and has remained elusive. We present a simple imaging method involving the correlation of speckle patterns as a function of object position that provides access to the object autocorrelation function and, hence, allows the formation of an image using phase retrieval. With multiple measured speckle patterns, our method uses the ensemble-averaged spatial correlations to enable the extraction of an image of the moving object. The approach is effective for thick and heavily scattering media. Subject to adequate detector signal level, the method is simplified by heavy scatter. Reconstructions of both patch and aperture objects placed between heavily scattering acrylic slabs and between thick chicken breast slices demonstrate the feasibility of the approach.
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23 May 2019: A typographical correction was made to the abstract and Eq. 1.
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