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Typical quantitative refractive index (RI) imaging methods (e.g. optical diffraction tomography) use coherent illumination and interferometric detection to reconstruct 3D phase objects. We have developed a new technique to perform accurate ODT reconstructions using spatially incoherent illumination. This technique reconstructs the RI by minimizing the difference between simulated and interferometrically measured cross-correlation between the diffracted field and a reference image of the illumination, using the fast iterative shrinkage / thresholding algorithm (FISTA) framework. We numerically validate this technique by comparing results obtained with spatially incoherent illumination, to those obtained with coherent illumination, and obtain high-resolution reconstructions of similar quality.
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