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Free-space Fresnel diffraction for the approximation of fractional Fourier transform

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Abstract

Fractional Fourier transformation of an object can be approximated by the object's free-space Fresnel diffraction pattern under some restricted conditions and plane wave illumination according to Hua's method. A better approximation is achieved under least-squared conditions developed in this paper. Simulation results verify that our theoretical development works for any fractional order a compared with the previous approach.

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Authors and Affiliations

  1. Signal and Media (SAM) Laboratory, Department of Electrical Engineering, National Chung Cheng University, Chiayi, 62107, Taiwan

    Chung J. Kuo, Ni Y. Chang & Yuan Luo

Authors
  1. Chung J. Kuo
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  2. Ni Y. Chang
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  3. Yuan Luo
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Kuo, C.J., Chang, N.Y. & Luo, Y. Free-space Fresnel diffraction for the approximation of fractional Fourier transform. Optical and Quantum Electronics 34, 369–376 (2002). https://doi.org/10.1023/A:1015016625230

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  • DOI: https://doi.org/10.1023/A:1015016625230

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