As a label-free and quantitative imaging technique, optical diffraction tomography has been widely used in biological imaging. However, it is typically limited to weakly-scattering objects. To overcome this limitation, optimization algorithms based on minimizing field differences at the exit/observation plane, including total variation regularization, have been proposed and demonstrated. We propose a novel optimization algorithm to generalize field discrepancies from one plane to multiple planes throughout the scattering area. We numerically demonstrate that minimizing the field discrepancies at multiple planes instead of only one plane improves the robustness and accuracy of reconstructing multiply-scattering objects, without sacrificing the computational efficiency.
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.