In this work, we demonstrate a computational microscopy for quantitative phase imaging and refractive indextomography using annular illumination. By employing a physical annular plate or a programmable annular LEDunit, the quantitative phase images of a thin phase object or large-volume three-dimensional (3D) refractiveindex (RI) distributions of thick object can be rapidly characterize and recovered. This annular illuminationscheme optimally encodes both low- and high-spatial frequency for quantitative phase and RI information acrossthe entire 3D volume using a small number of intensity measurements. We also give both quantitative phaseand 3D RI experiment results based on various biological samples, and this computational microscopy approachshows promise as a powerful high-speed, label-free tool for biomedical applications and possibility of widespreadadoption of phase imaging in the morphology study of cellular processes and biomedical community.
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