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30 August 2002 Digital implementation of fractional Fourier transform hologram
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Abstract
Digital implementation of fractional Fourier transform hologram (FRTH) is studied. From the definition of fractional Fourier transform (FRT), its discrete form is obtained and then a fast FRT algorithm is generated based on fast Fourier transform (FFT). Therefore, with the algorithm whose numerical efficiency is equal to the FFT, FRT can be quickly calculated and moreover FRTCGH can be efficiently encoded and reconstructed. The digital implementation for FRTH can lead its advantages, such as flexibility of fabrication and variation with recording system parameters, to expanding its application fields in FRT and holography.
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Yongkang Guo, Shiwei Xie, Yangsu Zeng, Fuhua Gao, Yixiao Zhang, Feng Gao, and Chunlei Du "Digital implementation of fractional Fourier transform hologram", Proc. SPIE 4924, Holography, Diffractive Optics, and Applications, (30 August 2002); https://doi.org/10.1117/12.481521
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