Images of optical periodic elements in the fractional Fourier transform domain

Mykhailo V. Shovgenyuk; Yura M. Kozlovskii

doi:10.1117/12.639913

7 October 2005 Images of optical periodic elements in the fractional Fourier transform domain

Mykhailo V. Shovgenyuk, Yura M. Kozlovskii

Proceedings Volume 5948, Photonics Applications in Industry and Research IV; 59482Q (2005) https://doi.org/10.1117/12.639913
Event: Congress on Optics and Optoelectronics, 2005, Warsaw, Poland

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.

Citation Download Citation

Mykhailo V. Shovgenyuk and Yura M. Kozlovskii "Images of optical periodic elements in the fractional Fourier transform domain", Proc. SPIE 5948, Photonics Applications in Industry and Research IV, 59482Q (7 October 2005); https://doi.org/10.1117/12.639913

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