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
(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)