Fast single-shot imaging through scattering media based on a captured speckle pattern without a guidestar

To address the fundamental challenges of imaging light in scattering media, we report an imaging method based on the principle of speckle correlations. It does not require raster scanning of the shaped focus or an implanted guidestar to locate and control incident illumination. More importantly, our approach eliminates the need for collecting thousands of speckle patterns for real-time iterative optimization, as only one captured speckle pattern is needed. By incorporating the traditional wavefront shaping concept and calculating the optimal phase mask, our method enables image recovery from the speckle pattern, resulting in significant time savings.