中国物理B ›› 2001, Vol. 10 ›› Issue (11): 1028-1031.doi: 10.1088/1009-1963/10/11/307

• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇    下一篇

OPTICAL REALIZATION OF WAVELET TRANSFORM WITH A SINGLE LENS

王取泉, 熊贵光, 李承芳, 张苏淮, 王琳   

  1. Department of Physics, Wuhan University, Wuhan 430072, China
  • 收稿日期:2001-01-01 修回日期:2001-06-11 出版日期:2005-06-12 发布日期:2005-06-12

OPTICAL REALIZATION OF WAVELET TRANSFORM WITH A SINGLE LENS

Wang Qu-quan (王取泉), Xiong Gui-guang (熊贵光), Li Cheng-fang (李承芳), Zhang Su-huai (张苏淮), Wang Lin (王琳)   

  1. Department of Physics, Wuhan University, Wuhan 430072, China
  • Received:2001-01-01 Revised:2001-06-11 Online:2005-06-12 Published:2005-06-12

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摘要： Two optical set-ups to implement wavelet transform with a single lens have been proposed, in which the wavelet filter was placed in front of the imaging lens or on the frequency plane. The general formula of the complex field distribution of the output plane has been deduced. The analysing wavelet functions of the band-pass wavelet filters with double and circular slits have been discussed.

Abstract: Two optical set-ups to implement wavelet transform with a single lens have been proposed, in which the wavelet filter was placed in front of the imaging lens or on the frequency plane. The general formula of the complex field distribution of the output plane has been deduced. The analysing wavelet functions of the band-pass wavelet filters with double and circular slits have been discussed.

Key words: Fourier transform, wavelet transform, wavelet filter

中图分类号:  (Fourier optics)

  • 42.30.Kq
42.79.Bh (Lenses, prisms and mirrors) 42.79.Ci (Filters, zone plates, and polarizers) 02.30.Uu (Integral transforms)