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Optical Implementation of Linear Canonical Transforms

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Linear Canonical Transforms

Part of the book series: Springer Series in Optical Sciences ((SSOS,volume 198))

Abstract

We consider optical implementation of arbitrary one-dimensional and two-dimensional linear canonical and fractional Fourier transforms using lenses and sections of free space. We discuss canonical decompositions, which are generalizations of common Fourier transforming setups. We also look at the implementation of linear canonical transforms based on phase-space rotators.

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Acknowledgements

H.M. Ozaktas acknowledges partial support of the Turkish Academy of Sciences.

Author information

Authors and Affiliations

  1. The Scientific and Technological Research Council of Turkey, 06100, Kavaklıdere, Ankara, Turkey

    M. Alper Kutay

  2. Department of Electrical Engineering, Bilkent University, 06800, Bilkent, Ankara, Turkey

    Haldun M. Ozaktas

  3. Universidad Complutense de Madrid, Facultad de Ciencias Físicas, Ciudad Universitaria s/n, Madrid, 28040, Spain

    José A. Rodrigo

Authors
  1. M. Alper Kutay
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  2. Haldun M. Ozaktas
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  3. José A. Rodrigo
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Corresponding author

Correspondence to M. Alper Kutay .

Editor information

Editors and Affiliations

  1. School of Electrical and Electronic Engineering, University College Dublin, Dublin, Ireland

    John J. Healy

  2. The Scientific and Technological Research Council of Turkey, Ankara, Ankara, Turkey

    M. Alper Kutay

  3. Department of Electrical Engineering, Bilkent University, Ankara, Ankara, Turkey

    Haldun M. Ozaktas

  4. School of Electrical and Electronic Engineering, University College Dublin, Dublin, Dublin, Ireland

    John T. Sheridan

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Kutay, M.A., Ozaktas, H.M., Rodrigo, J.A. (2016). Optical Implementation of Linear Canonical Transforms. In: Healy, J., Alper Kutay, M., Ozaktas, H., Sheridan, J. (eds) Linear Canonical Transforms. Springer Series in Optical Sciences, vol 198. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-3028-9_6

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