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Proceedings Paper

Images of optical periodic elements in the fractional Fourier transform domain
Author(s): Mykhailo V. Shovgenyuk; Yura M. Kozlovskii
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Paper Abstract

The theory of periodic phase elements images forming is described based on the method of the coordinate-frequency distribution. The invariant conditions of periodic elements self-images forming which are determined by the ratio of the Fresnel number F0 to tan(pπ/2) (where p is the FrFT parameter) are investigated in the FrFT domain. The analytic expressions for the calculation of periodic phase elements at different values of the invariant parameter F0/ tan &Jgr; are obtained. It is shown that the FrFT self-image of elementary cell forms as a result of the finite number of the cross displaced elementary cells superposition. The results of numerical calculations of the periodic phase elements self-images in the FrFT domain are presented. The mechanism of constant intensity levels forming depending on the value of invariant parameter is explained.

Paper Details

Date Published: 7 October 2005
PDF: 11 pages
Proc. SPIE 5948, Photonics Applications in Industry and Research IV, 59482Q (7 October 2005); doi: 10.1117/12.639913
Show Author Affiliations
Mykhailo V. Shovgenyuk, Institute for Condensed Matter Physics (Ukraine)
Yura M. Kozlovskii, Institute for Condensed Matter Physics (Ukraine)

Published in SPIE Proceedings Vol. 5948:
Photonics Applications in Industry and Research IV
Ryszard S. Romaniuk; Stefan Simrock; Vladimir M. Lutkovski, Editor(s)

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