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Title: Young's double-slit experiment: noise-resolution duality
Contributor(s): Nesterets, Yakov  (author); Gureyev, Timur  (author)orcid 
Publication Date: 2015
Open Access: Yes
DOI: 10.1364/oe.23.003373Open Access Link
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Abstract: Statistical aspects of Young's double-slit diffraction experiment are analysed quantitatively. It is shown that the signal-to-noise ratio and the spatial resolution in the detected diffraction pattern satisfy a duality relationship which implies that both of them cannot be improved simultaneously beyond a certain limit if the total number of particles forming the image is fixed. As a consequence of this duality, it is possible to estimate the minimal number of particles that have to be detected in order for two slits separated by a given distance to be resolved with a confidence level corresponding to a pre-defined signal-to-noise ratio, e.g. according to the Rose criterion. These results are related to the recently introduced imaging system quality characteristic which combines the spatial resolution and the noise sensitivity, and allows one to estimate the efficiency with which imaging quanta are utilised in a system to deliver maximal amount of information about the imaged object. The presented results can be useful for applications where the imaging quanta are at a premium or where minimization of the radiation dose is important.
Publication Type: Journal Article
Source of Publication: Optics Express, 23(3), p. 3373-3381
Publisher: Optical Society of America
Place of Publication: Washington DC, United States of America
ISSN: 1094-4087
Field of Research (FOR): 020501 Classical and Physical Optics
020504 Photonics, Optoelectronics and Optical Communications
Socio-Economic Outcome Codes: 970102 Expanding Knowledge in the Physical Sciences
Peer Reviewed: Yes
HERDC Category Description: C1 Refereed Article in a Scholarly Journal
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