Fractionalization of the linear cyclic transforms.

  title={Fractionalization of the linear cyclic transforms.},
  author={Tatiana Alieva and Maria Luisa Calvo},
  journal={Journal of the Optical Society of America. A, Optics, image science, and vision},
  volume={17 12},
In this study the general algorithm for the fractionalization of the linear cyclic integral transforms is established. It is shown that there are an infinite number of continuous fractional transforms related to a given cyclic integral transform. The main properties of the fractional transforms used in optics are considered. As an example, two different types of fractional Hartley transform are introduced, and the experimental setups for their optical implementation are proposed. 
Highly Cited
This paper has 20 citations. REVIEW CITATIONS

From This Paper

Figures, tables, and topics from this paper.
11 Citations
12 References
Similar Papers


Publications citing this paper.
Showing 1-10 of 11 extracted citations


Publications referenced by this paper.
Showing 1-10 of 12 references

Calvo tion to the fractional Fourier transform and its applications,’

  • M.L.T. Alieva
  • ‘‘Introduc
  • 2000

Powers of transfer matrices determined by means of eigenfunctions,’

  • T. Alieva, M. J. Bastiaans
  • J. Opt. Soc. Am. A 16,
  • 1999

Fractional transformation in optics,’

  • A. W. Lohmann, D. Mendlovic, Z. Zalevsky
  • Progress in Optics,
  • 1998

Generalized fractional Fourier transforms,’

  • S. Liu, J. Jiang, Y. Zhang, J. Zhang
  • J. Phys. A 30,
  • 1997

Self-fractional Fourier functions and selection of modes,’

  • T. Alieva, A. Barbe
  • J. Phys. A 30,
  • 1997

Fractionalization of Fourier transform,’

  • C. C. Shih
  • Opt. Commun. 118,
  • 1995

Similar Papers

Loading similar papers…