Browsing by Author "Lohmann, A. W."

Now showing items 1-9 of 9

    • About the Wigner distribution of a graded index medium and the fractional fourier transform operation 

      Özaktaş, Haldun M.; Mendlovic, D.; Lohmann, A. W. (SPIE, 1993-08)
      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 ...

    • Chirp filtering in the fractional Fourier domain 

      Dorsch, R. G.; Lohmann, A. W.; Bitran, Y.; Mendlovic, D.; Özaktaş, Haldun M. (Optical Society of America, 1994-11-10)
      In the Wigner domain of a one-dimensional function, a certain chirp term represents a rotated line delta function. On the other hand, a fractional Fourier transform (FRT) can be associated with a rotation of the ...

    • Fractional correlation 

      Mendlovic, D.; Özaktaş, Haldun M.; 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.; Özaktaş, Haldun M. (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.; Özaktaş, Haldun M.; 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 ...

    • Interpretation of the space-bandwidth product as the entropy of distinct connection patterns in multifacet optical interconnection architectures 

      Özaktaş, Haldun M.; Brenner, K. -H.; Lohmann, A. W. (Optical Society of America, 1993)
      We show that the entropy of the distinct connection patterns that are possible with multifacet optical interconnection architectures is approximately equal to the space-bandwidth product of the optical system.

    • A New Signal Representation based on the Fractional Fourier Transform: Definitions 

      Mendlovic, D.; Zalevsky, Z.; Dorsch, R.; Bitran, Y.; Lohmann, A. W. (OSA Publishing, 1995)
      The fractional Fourier transform is a mathematical operation that generalizes the well-known Fourier transform. This operation has been shown to have physical and optical fundamental meanings, and it has been experimentally ...

    • Scaling of diffractive and refractive lenses for optical computing and interconnections 

      Özaktaş, Haldun M.; Urey, H.; Lohmann, A. W. (Optical Society of America, 1994-06-10)
      We discuss both numerically and analytically how the space-bandwidth product and the information density of lenses scale as functions of their diameter and f-number over many orders of magnitude. This information may be ...

    • Self Fourier functions and fractional Fourier transforms 

      Mendlovic, D.; Özaktaş, Haldun M.; Lohmann, A. W. (Elsevier, 1994)
      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 ...