Open AccessDigital Fresnel holography beyond the Shannon limits
Author(s) -
Mathieu Leclercq,
Pascal Picart
Publication year - 2012
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.20.018303
Subject(s) - optics , digital holography , decorrelation , pixel , holography , fresnel zone , coherence (philosophical gambling strategy) , spatial frequency , ptychography , noise (video) , computer science , dimension (graph theory) , modulation (music) , phase modulation , physics , phase noise , mathematics , artificial intelligence , computer vision , image (mathematics) , acoustics , diffraction , quantum mechanics , pure mathematics
This paper presents a detailed analysis of the influence of the pixel dimension in digitally-recorded holograms. The investigation is based on both theoretical and experimental viewpoints for recordings beyond the Shannon limits. After discussing the pixel paradox, the sinc amplitude modulation is experimentally demonstration. The experimental analysis is well correlated to the theoretical basics; in addition, the filling factor of the sensor can be estimated. The analysis of the phase changes of the object show that they can be obtained with a very good contrast and that they are only limited by the decorrelation noise, as when the Shannon conditions are fulfilled.