Fractional Fourier transforms and their optical implementation: I

Mendlovic, D.Özaktaş, Haldun M.2015-07-282015-07-2819931084-7529http://hdl.handle.net/11693/13635Fourier transforms of fractional order a are defined in a manner such that the common Fourier transform is a special case with order a = 1. An optical interpretation is provided in terms of quadratic graded index media and discussed from both wave and ray viewpoints. Several mathematical properties are derived.EnglishLaplace TransformsOpticsFractional Fourier TransformsGrain Index MediaRay-opticsSelf-fourier FunctionsFourier TransformsFractional Fourier transforms and their optical implementation: IArticle10.1364/JOSAA.10.001875