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

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.

References in corpus (3)

• Regularized Newton Methods for X-ray Phase Contrast and General Imaging Problems
• Proximal Heterogeneous Block Input-Output Method and application to Blind Ptychographic Diffraction Imaging
• Regularized Newton methods for simultaneous Radon inversion and phase retrieval in phase contrast tomography

Cited by in corpus (5)

• Phase Retrieval for Partially Coherent Observations
• Reliable Linearized Phase Retrieval for Near-Field Antenna Measurements with Truncated Measurement Surfaces
• Joint ptycho-tomography with deep generative priors
• Fast Tomographic Alignment for Joint Ptychography and Tomography
• A matrix-free Levenberg-Marquardt algorithm for efficient ptychographic phase retrieval