Talbot effect interpreted by number theory

Authors
Flores-Arias, MT Perez, MV Gomez-Reino, C Bao, C Fernandez-Pousa, CR
Citation
Mt. Flores-arias et al., Talbot effect interpreted by number theory, J OPT SOC A, 18(11), 2001, pp. 2707-2716
Citations number
11
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science","Optics & Acoustics
Journal title
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION
ISSN journal
10847529 → ACNP
Volume
18
Issue
11
Year of publication
2001
Pages
2707 - 2716
Database
ISI
SICI code
1084-7529(200111)18:11<2707:TEIBNT>2.0.ZU;2-#
Abstract
An interpretation of the Talbot effect in a tapered gradient-index medium b y number theory as the output/input relationship between the integer and th e noninteger difference of position and the slope of rays is presented. Uni t cell and transverse magnification for Talbot images are evaluated, and tw o criteria for angular magnification are defined. The study is particulariz ed to a finite set of diffracted rays. (C) 2001 Optical Society of America.