Fractionalization of the linear cyclic transforms

Authors
Alieva, T Calvo, ML
Citation
T. Alieva et Ml. Calvo, Fractionalization of the linear cyclic transforms, J OPT SOC A, 17(12), 2000, pp. 2330-2338
Citations number
14
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
17
Issue
12
Year of publication
2000
Pages
2330 - 2338
Database
ISI
SICI code
1084-7529(200012)17:12<2330:FOTLCT>2.0.ZU;2-R
Abstract
In this study the general algorithm for the fractionalization of the linear cyclic integral transforms is established. It is shown that there are an i nfinite number of continuous fractional transforms related to a given cycli c integral transform. The main properties of the fractional transforms used in optics are considered. As an example, two different types of fractional Hartley transform are introduced, and the experimental setups for their op tical implementation are proposed. (C) 2000 Optical Society of America [S07 40-3232(00)00312-4] OCIS codes: 070.0070, 070.2590, 070.6020.