Browsing by Subject "Gradient index optics"
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Item Open Access Accumulated Gouy phase shift in Gaussian beam propagation through first-order optical systems(Optical Society of America, 1997-09) Erden, M. F.; Özaktaş, Haldun M.We define the accumulated Gouy phase shift as the on-axis phase accumulated by a Gaussian beam in passing through an optical system, in excess of the phase accumulated by a plane wave. We give an expression for the accumulated Gouy phase shift in terms of the parameters of the system through which the beam propagates. This quantity complements the beam diameter and the wave-front radius of curvature to constitute three parameters that uniquely characterize the beam with respect to a reference point in the system. Measurement of these parameters allows one to uniquely recover the parameters characterizing the first-order system through which the beam propagates.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.Item Open Access Self Fourier functions and fractional Fourier transforms(Elsevier, 1994) Mendlovic, D.; Özaktaş, Haldun M.; Lohmann, A. W.Self Fourier functions and fractional Fourier transforms are two concepts that have been discussed recently. Investigated is the combination of these two concepts: self fractional Fourier functions and the fractional Fourier transform of a self Fourier function. © 1994.