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Accelerated Fourier ptychographic diffraction tomography with sparse annular LED illuminations

Fourier ptychographic diffraction tomography (FPDT) is a recently developed label‐free computational microscopy technique that retrieves high‐resolution and large‐field three‐dimensional (3D) tomograms by synthesizing a set of low‐resolution intensity images obtained with a low numerical aperture (NA) objective. However, in order to ensure sufficient overlap of Ewald spheres in 3D Fourier space, conventional FPDT requires thousands of intensity measurements and consumes a significant amount of time for stable convergence of the iterative algorithm. Herein, we present accelerated Fourier ptychographic diffraction tomography (aFPDT), which combines sparse annular light‐emitting diode (LED) illuminations and multiplexing illumination to significantly decrease data amount and achieve computational acceleration of 3D refractive index (RI) tomography. Compared with existing FPDT technique, the equivalent high‐resolution 3D RI results are obtained using aFPDT with reducing data requirement by more than 40 times. The validity of the proposed method is experimentally demonstrated on control samples and various biological cells, including polystyrene beads, unicellular algae and clustered HeLa cells in a large field of view. With the capability of high‐resolution and high‐throughput 3D imaging using small amounts of data, aFPDT has the potential to further advance its widespread applications in biomedicine.