Direct 3D Tomographic Reconstruction and Phase-Retrieval of Far-Field Coherent Diffraction Patterns

TL;DR

This paper introduces a novel iterative algorithm for 3D reconstruction of sample refractive indices from far-field diffraction data, integrating phase retrieval and tomography in a unified framework, demonstrated through simulations.

Contribution

It formulates phase retrieval in ptychography as a 3D tomography problem and develops a Levenberg-Marquardt based iterative reconstruction method.

Findings

Successful simulation results demonstrating accurate 3D reconstruction.

Effective simultaneous retrieval of illumination and sample refractive indices.

Potential for improved imaging in coherent diffraction tomography.

Abstract

We present an alternative numerical reconstruction algorithm for direct tomographic reconstruction of a sample refractive indices from the measured intensities of its far-field coherent diffraction patterns. We formulate the well-known phase-retrieval problem in ptychography in a tomographic framework which allows for simultaneous reconstruction of the illumination function and the sample refractive indices in three dimensions. Our iterative reconstruction algorithm is based on the Levenberg-Marquardt algorithm. We demonstrate the performance of our proposed method with simulation studies.