We proposed a fast 3D RI construction method, based on the Wolf equations for propagating correlations of partially coherent light. This approach, referred to as Wolf phase tomography (WPT), involves minimal computational steps, renders high-resolution RI tomograms, without time-consuming deconvolution operations. WPT decouples the refractive index distribution from the thickness of the sample directly in the space-time domain, without the need for Fourier transformation. We demonstrate that, from three independent intensity measurements corresponding to each phase shift, the RI distribution is reconstructed directly from the Laplacian and second time derivative of the complex correlation functions.
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