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Applied Optics

Applied Optics


  • Vol. 41, Iss. 29 — Oct. 10, 2002
  • pp: 6182–6186

Wavelet transforming characteristic of a lens

Liying Tan, Jing Ma, Qi Wang, and Qiwen Ran  »View Author Affiliations

Applied Optics, Vol. 41, Issue 29, pp. 6182-6186 (2002)

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Based on the wave-front filtering concept of wavelet optics, which we proposed, here we consider that the wave fronts of a light wave are filtered by the lens when the wave fronts pass through the lens. After filtering, the weight of the light field is redistributed, and a Gaussian frequency-modulated complex-valued wavelet function is introduced with the weight function. Subsequent analysis indicates that the lens has a wavelet-transforming characteristic and that the introduction of a Gaussian frequency-modulated complex-valued wavelet function conforms to the actual lens.

© 2002 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(070.2590) Fourier optics and signal processing : ABCD transforms
(070.4560) Fourier optics and signal processing : Data processing by optical means

Original Manuscript: November 28, 2001
Published: October 10, 2002

Liying Tan, Jing Ma, Qi Wang, and Qiwen Ran, "Wavelet transforming characteristic of a lens," Appl. Opt. 41, 6182-6186 (2002)

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