The Optical Implementation of Anamorphic Fractional Fourier Transform

【Author】

Shiwei Xie College of Science, China Three Gorges University Yichang, P. R. China Hongying Xiao College of Science, China Three Gorges University Yichang, P. R. China

【Abstract】

This paper contains a discussion of the optical implementation of the anamorphic fractional Fourier transform. Firstly, the definition of fractional Fourier transform and its discrete form are given as well as their properties. Secondly, a fast algorithm is presented. Thirdly, an implementation of fractional Fourier transform is observed. Lastly, the definition is extended to two-dimensional case as anamorphic fractional Fourier transform, furthermore, its optical implementations are given.

【Keywords】

Fractional Fourier Transform; Anamorphic optics.

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Springer Journals Database

Total: 5 articles

  • [1] Mendlovic D, Ozaktas H M, Fractional Fourier transforms and their optical implementation, Journal of the Optical Society of America, Journal of the Optical Society of America (Journal of the Optical Society of America)
  • [2] Shiwei Xie, "Study on anamorphic fractional correlation and its optical and digital implementation",
  • [3] H.M.Ozaktas;Zeev Zelevsky;M.Alper Kutay, the Fractional Fourier Transform with Applications in Optics and Signal Processing,
  • [4] Lohmann A W, Image rotation, wigner rotation, and the fractional Fourier transform, J Opt Soc Am A, Journal of the Optical Society of America A Optics Image Science and Vision (Journal of the Optical Society of America A Optics Image Science and Vision)

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