title: Imaging system of wavelet optics described by the Gaussian linear frequency-modulated complex wavelet.
abstract: The image formation and the point-spread function of an optical system are analyzed by use of the wavelet basis function. The image described by a wavelet is no longer an indivisible whole image. It is, rather, a complex image consisting of many wavelet subimages, which come from the changes of different parameters (scale) a and c, and parameters b and d show the positions of wavelet subimages under different scales. A Gaussian frequency-modulated complex-valued wavelet function is introduced to express the point-spread function of an optical system and used to describe the image formation. The analysis, in allusion to the situation of illumination with a monochromatic plain light wave, shows that using the theory of wavelet optics to describe the image formation of an optical system is feasible.
authors.affiliation: National Key Laboratory of Tunable Laser Technology, Harbin Institute of Technology, 92 West Dazhi Street, Harbin 150001, China. majing@hit.edu.cn
authors.forename: Liying
authors.initials: L
authors.lastname: Tan
authors.forename: Jing
authors.initials: J
authors.lastname: Ma
authors.forename: Guangming
authors.initials: G
authors.lastname: Wang