Optical implementations of two-dimensional fractional fourier transforms and linear canonical transforms with arbitrary parameters.

@article{Sahin1998OpticalIO,
  title={Optical implementations of two-dimensional fractional fourier transforms and linear canonical transforms with arbitrary parameters.},
  author={Aysegul Sahin and Haldun M. Ozaktas and David Mendlovic},
  journal={Applied optics},
  year={1998},
  volume={37 11},
  pages={
          2130-41
        }
}
We provide a general treatment of optical two-dimensional fractional Fourier transforming systems. We not only allow the fractional Fourier transform orders to be specified independently for the two dimensions but also allow the input and output scale parameters and the residual spherical phase factors to be controlled. We further discuss systems that do not allow all these parameters to be controlled at the same time but are simpler and employ a fewer number of lenses. The variety of systems… CONTINUE READING

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Two-dimensional affine generalized fractional Fourier transform

  • IEEE Trans. Signal Processing
  • 2001
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Two-dimensional nonseparable discrete linear canonical transform based on CM-CC-CM-CC decomposition

  • Journal of the Optical Society of America. A, Optics, image science, and vision
  • 2016

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