Reconstruction of purely absorbing, absorbing and phase-shifting, and strong phase-shifting objects from their single-shot in-line holograms

TL;DR

This paper investigates the reconstruction of phase-shifting objects from single-shot in-line holograms, emphasizing the necessity of iterative methods and analyzing factors affecting reconstruction accuracy.

Contribution

It demonstrates that iterative reconstruction is essential for recovering phase-shifting objects from holograms and provides guidelines for optimal parameter selection.

Findings

Iterative reconstruction outperforms non-iterative methods for phase-shifting objects.

Noise and interference contrast significantly affect reconstruction quality.

Optimal parameters for phase retrieval are summarized from experimental hologram analysis.

Abstract

We address the problem of reconstructing phase-shifting objects from their single shot in-line holograms. We show that a phase-shifting object cannot be reliably recovered from its in-line hologram by non-iterative reconstruction routines, and that an iterative reconstruction should be applied. We demonstrate examples of simulated in-line holograms of objects with the following properties: purely absorbing, both absorbing and phase shifting, and strong phase-shifting. We investigate the effects of noise and interference contrast in holograms on the reconstruction results and discuss details of an optimal iterative procedure to quantitatively recover the correct absorbing and phase-shifting properties of the object. We also review previously published reconstructions of experimental holograms and summarize the optimal parameters for retrieval of phase-shifting objects from their in-line holograms.