Browsing by Subject "Quadratic graded index media"
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Item Open Access About the Wigner distribution of a graded index medium and the fractional fourier transform operation(SPIE, 1993-08) Özaktaş, Haldun M.; Mendlovic, D.; Lohmann, A. W.Upon propagation through quadratic graded index media, the Wigner distribution of the wavefunction of light rotates uniformly. As a consequence, a definition of fractional Fourier transforms based on rotating the functions Wigner distribution, and another based on propagation through graded index media, are equivalent.Item Open Access Fourier transforms of fractional order and their optical interpretation(Elsevier, 1993) Özaktaş, Haldun M.; Mendlovic, D.Fourier 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.