Iterative Algorithms for Ptychographic Phase Retrieval

TL;DR

This paper reviews existing methods and proposes new numerical optimization algorithms for solving the ptychographic phase retrieval problem, which is key to achieving high-resolution imaging without advanced lenses.

Contribution

It introduces alternative numerical optimization methods for ptychographic phase retrieval, enhancing the computational approach to this imaging challenge.

Findings

Review of existing ptychographic phase retrieval methods

Proposal of new optimization-based algorithms

Potential improvements in reconstruction accuracy

Abstract

Ptychography promises diffraction limited resolution without the need for high resolution lenses. To achieve high resolution one has to solve the phase problem for many partially overlapping frames. Here we review some of the existing methods for solving ptychographic phase retrieval problem from a numerical analysis point of view, and propose alternative methods based on numerical optimization.