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Imaginary angle fractional Fourier transform and its optical implementation

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Abstract

The concept of imaginary angle fractional Fourier transform is proposed. Its existence and additive operation are proved. With this concept, FRT is expanded to the optical transform of convex lens outside the range of double focal length and that of concave lens.

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Authors and Affiliations

  1. Information Optics Laboratory, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, 201800, Shanghai, China

    Jianwen Hua, Liren Liu & Guoqiang Li

  2. East China Shipbuilding Institute, 212003, Shanghai, China

    Jianwen Hua, Liren Liu & Guoqiang Li

Authors
  1. Jianwen Hua
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  2. Liren Liu
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  3. Guoqiang Li
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Project supported by the National Natural Science Foundation of China.

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Hua, J., Liu, L. & Li, G. Imaginary angle fractional Fourier transform and its optical implementation. Sci. China Ser. E-Technol. Sci. 40, 374–378 (1997). https://doi.org/10.1007/BF02919423

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  • DOI: https://doi.org/10.1007/BF02919423

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