Diffraction tomography based on Fourier ptychographic microscopy with the multiple scattering model

Fourier ptychographic microscopy is a new computational imaging method developed in recent years, which can obtain the complex amplitude information of the sample simultaneously maintaining the large field-of-view and improving the imaging resolution. Meanwhile, the diffraction tomography technique can realize the three-dimensional (3D) refractive index imaging of the object. So, the combination of Fourier ptychographic microscopy imaging and the diffraction tomography algorithm can obtain high-resolution 3D complex refractive index distribution of thick samples. In visible light, recent studies have shown that diffraction tomography reconstruction algorithms based on the multi-scattering forward propagation model can overcome the limitations of the Born/Rytov approximation and reduce the impact of multi-scattering effects on the reconstructed refractive indices of 3D objects. In this paper, we propose a method to accurately describe the image acquisition process of the FPM system using a multiple scattering forward propagation model, and then combine iterative optimization methods to obtain high-quality diffraction tomography reconstruction results. The multiple-sphere sample is employed to do the simulation, and the results show that the method can effectively solve the multiple scattering problem inside complex structure samples and obtain better reconstructed results than traditional diffraction tomography reconstruction algorithms for samples that do not meet the Born/Rytov approximation requirements. The method provides a new perspective on image recovery methods for Fourier ptychographic microscopy imaging systems.