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.
© 2006 Optical Society of America
Original Manuscript: April 12, 2006
Revised Manuscript: July 17, 2006
Manuscript Accepted: July 17, 2006
Vol. 2, Iss. 1 Virtual Journal for Biomedical Optics
Qingguo Yang, Liren Liu, Jianfeng Sun, Yongjian Zhu, and Wei Lu, "Analysis of optical systems with extended depth of field using the Wigner distribution function," Appl. Opt. 45, 8586-8595 (2006)