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Chinese Physics, 2001, Vol. 10(11): 1028-1031    DOI: 10.1088/1009-1963/10/11/307
CLASSICAL AREAS OF PHENOMENOLOGY Prev   Next  

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)
Department of Physics, Wuhan University, Wuhan 430072, China
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.
Keywords:  Fourier transform      wavelet transform      wavelet filter  
Received:  01 January 2001      Revised:  11 June 2001      Accepted manuscript online: 
PACS:  42.30.Kq (Fourier optics)  
  42.79.Bh (Lenses, prisms and mirrors)  
  42.79.Ci (Filters, zone plates, and polarizers)  
  02.30.Uu (Integral transforms)  

Cite this article: 

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) OPTICAL REALIZATION OF WAVELET TRANSFORM WITH A SINGLE LENS 2001 Chinese Physics 10 1028

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