Özaktaş, Haldun M.Mendlovic, D.2016-02-082016-02-0819930030-4018http://hdl.handle.net/11693/26038Fourier 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. Fractional Fourier transforms can extend the range of spatial filtering operations.EnglishFourier opticsGradient index opticsIntegral equationsMathematical modelsOptical filtersSignal filtering and predictionFractional orderQuadratic graded index mediaSpatial filtering operationsFourier transformsFourier transforms of fractional order and their optical interpretationArticle10.1016/0030-4018(93)90359-D