Diffraction tomography with Fourier ptychography

This article presents a method to perform diffraction tomography in a standard microscope that includes an LED array for illumination. After acquiring a sequence of intensity-only images of a thick sample, a ptychography-based reconstruction algorithm solves for its unknown complex index of refraction across three dimensions. The experimental microscope demonstrates a spatial resolution of 0.39 $μ$m and an axial resolution of 3.7 $μ$m at the Nyquist-Shannon sampling limit (0.54 $μ$m and 5.0 $μ$m at the Sparrow limit, respectively), across a total imaging volume of 2.2 mm $\times$ 2.2 mm $\times$ 110 $μ$m. Unlike competing methods, the 3D tomograms presented in this article are continuous, quantitative, and formed without the need for interferometry or any moving parts. Wide field-of-view reconstructions of thick biological specimens demonstrate potential applications in pathology and developmental biology.

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