Now showing items 1-7 of 7

    • Convolution and filtering in fractional fourier domains 

      Haldun M. Özaktaş; Barshan, B.; Mendlovic, D. (Springer-Verlag, 1994)
      Fractional Fourier transforms, which are related to chirp and wavelet transforms, lead to the notion of fractional Fourier domains. The concept of filtering of signals in fractional domains is developed, revealing that ...
    • Every Fourier optical system is equivalent to consecutive fractional-Fourier-domain filtering 

      Haldun M. Özaktaş; Mendlovic, D. (Optical Society of America, 1996-06-10)
      We consider optical systems composed of an arbitrary number of lenses and filters, separated by arbitrary distances, under the standard approximations of Fourier optics. We show that every such system is equivalent to (i) ...
    • Fractional correlation 

      Mendlovic, D.; Haldun M. Özaktaş; Lohmann, A. W. (Optical Society of America, 1995)
      Recently, optical interpretations of the fractional-Fourier-transform operator have been introduced. On the basis of this operator the fractional correlation operator is defined in two different ways that are both consistent ...
    • Fractional Fourier transform: simulations and experimental results 

      Bitran, Y.; Mendlovic, D.; Dorsch, R. G.; Lohmann, A. W.; Haldun M. Özaktaş (Optical Society of America, 1995)
      Recently two optical interpretations of the fractional Fourier transform operator were introduced. We address implementation issues of the fractional-Fourier-transform operation. We show that the original bulk-optics ...
    • Graded-index fibers, Wigner-distribution functions, and the fractional Fourier transform 

      Mendlovic, D.; Haldun M. Özaktaş; Lohmann, A. W. (Optical Society of America, 1994)
      Two definitions of a fractional Fourier transform have been proposed previously. One is based on the propagation of a wave field through a graded-index medium, and the other is based on rotating a function's Wigner ...
    • Relationships among ray optical, Gaussian beam, and fractional Fourier transform descriptions of first-order optical systems 

      Haldun M. Özaktaş; Erden, M. F. (Elsevier BV * North-Holland, 1997-11-01)
      Although wave optics is the standard method of analyzing systems composed of a sequence of lenses separated by arbitrary distances, it is often easier and more intuitive to ascertain the function and properties of such ...
    • Repeated filtering in consecutive fractional Fourier domains 

      Erden, M. Fatih (Bilkent University, 1997)
      In the first part of this thesis, relationships between the fractional Fourier transformation and Fourier optical systems are analyzed to further elucidate the importance of this transformation in optics. Then in the ...