Practical algorithms for simulation and reconstruction of digital in-line holograms

TL;DR

This paper introduces practical algorithms for simulating and reconstructing in-line digital holograms with plane and spherical waves, providing guidelines for optimal parameters and resolution, applicable to objects with absorption and phase shifts.

Contribution

It presents unified numerical procedures for hologram reconstruction and evaluates optimal parameters and resolution criteria for effective digital holography.

Findings

Algorithms applicable to both plane and spherical wave holograms

Guidelines for optimal sampling and distance parameters

Experimental validation of reconstruction methods

Abstract

Here we present practical methods for simulation and reconstruction of in-line digital holograms recorded with plane and spherical waves. The algorithms described here are applicable to holographic imaging of an object exhibiting absorption as well as phase shifting properties. Optimal parameters, related to distances, sampling rate, and other factors for successful simulation and reconstruction of holograms are evaluated and criteria for the achievable resolution are worked out. Moreover, we show that the numerical procedures for the reconstruction of holograms recorded with plane and spherical waves are identical under certain conditions. Experimental examples of holograms and their reconstructions are also discussed.