Direct Inversion of Digital 3D Fraunhofer Holography Maps

TL;DR

This paper demonstrates numerically that Differential Fourier Holography can be applied to reconstruct unknown 3D objects from diffraction data, extending its prior use in 2D imaging.

Contribution

It introduces a numerical method for applying Differential Fourier Holography to 3D object reconstruction, expanding its application scope.

Findings

Successful numerical reconstruction of 3D objects using DFH

Extension of DFH from 2D to 3D imaging

Potential for experimental application in 3D holography

Abstract

The Differential Fourier Holography (DFH) gives an exact mathematical solution of the inverse problem of diffraction in the Fraunhofer regime. After the first publication [1] the Differential Fourier Holography was successfully applied in many experiments to obtain amplitude and phase information about two-dimensional (2D) images. In this article we demonstrate numerically the possibility to apply the DFH also for investigation of unknown 3D Objects. The first simulation is made for a double-spiral structure plus a line as a reference object.