Theoretical consideration of the optimal performance of atomic resolution holography

Author(s)
Marton Marko, Laszlo Cser, Gerhard Krexner, Gyula Török
Abstract

The recording of holograms with atomic resolution is usually affected by distortions, e. g., due to the finite size of the source and detector, twin images and various imperfections of the instrument some of which have already been analyzed in detail. Amongst others in the present paper we discuss the effect of statistical noise. It is shown that the level of statistical noise of the reconstructed image is not influenced by the number of data points in the hologram and their individual counting statistics but is determined by the total number of counts collected in the experiment. The effects of instrumental resolution, filtering methods and symmetry operations on the signal-to-noise ratio of the reconstructed image are investigated as well. These achievements form the basis of the optimization method for the signal-to-noise ratio of the reconstructed holographic image.

Organisation(s)
Physics of Functional Materials
External organisation(s)
Hungarian Academy of Sciences, Central Research Institute for Physics
Journal
Measurement Science and Technology
Volume
20
No. of pages
6
ISSN
0957-0233
DOI
https://doi.org/10.1088/0957-0233/20/1/015502
Publication date
2009
Peer reviewed
Yes
Austrian Fields of Science 2012
103034 Particle physics
Portal url
https://ucris.univie.ac.at/portal/en/publications/theoretical-consideration-of-the-optimal-performance-of-atomic-resolution-holography(25b47744-6fcf-41f6-9758-2e3cb9e62b3e).html