title: Wavelet transforming characteristic of a lens.
abstract: 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.
authors.affiliation: National Key Laboratory of Tunable Technology, Harbin Institute of Technology, China. tanly@0451.com
authors.forename: Liying
authors.initials: L
authors.lastname: Tan
authors.forename: Jing
authors.initials: J
authors.lastname: Ma
authors.forename: Qi
authors.initials: Q
authors.lastname: Wang
authors.forename: Qiwen
authors.initials: Q
authors.lastname: Ran