Novel implementations of optical fractional Fourier transforms with lenses

Shutian Liu; Yan Zhang; Jiandong Xu; Chunfei Li

Conference on Lasers and Electro-Optics
OSA Technical Digest (Optica Publishing Group, 1995),
paper CThI29

Novel implementations of optical fractional Fourier transforms with lenses

Shutian Liu, Yan Zhang, Jiandong Xu, and Chunfei Li

Conference on Lasers and Electro-Optics 1995

Baltimore, Maryland United States
21–26 May 1995
ISBN: 1-55752-400-9

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Poster Session (CThI)

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S. Liu, Y. Zhang, J. Xu, and C. Li, "Novel implementations of optical fractional Fourier transforms with lenses," in Conference on Lasers and Electro-Optics, T. Deutsch, J. Goldsmith, D. Killinger, and G. Valley, eds., Vol. 15 of OSA Technical Digest (Optica Publishing Group, 1995), paper CThI29.

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Abstract

Lohmann defined the optical fractional Fourier transform (OFRACFT) in the spirit of the rotation of the Wigner distribution function and gave two typical setups of the implementation [shown in Figs. 1(a) and 1(b)]. In such structures, the OFRACFTs can be expressed by the following integral:

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