title: Analysis of optical systems with extended depth of field using the Wigner distribution function.
abstract: We describe the use of a Wigner distribution function approach for exploring the problem of extending the depth of field in a hybrid imaging system. The Wigner distribution function, in connection with the phase-space curve that formulates a joint phase-space description of an optical field, is employed as a tool to display and characterize the evolving behavior of the amplitude point spread function as a wave propagating along the optical axis. It provides a comprehensive exhibition of the characteristics for the hybrid imaging system in extending the depth of field from both wave optics and geometrical optics. We use it to analyze several well-known optical designs in extending the depth of field from a new viewpoint. The relationships between this approach and the earlier ambiguity function approach are also briefly investigated.
authors.affiliation: Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai, China. yungore@ustc.edu
authors.forename: Qingguo
authors.initials: Q
authors.lastname: Yang
authors.forename: Liren
authors.initials: L
authors.lastname: Liu
authors.forename: Jianfeng
authors.initials: J
authors.lastname: Sun
authors.forename: Yongjian
authors.initials: Y
authors.lastname: Zhu
authors.forename: Wei
authors.initials: W
authors.lastname: Lu