title: Method for designing an arbitrary continuous refracting surface with specified property of wavefronts conversion.
abstract: A method is proposed for designing an arbitrary continuous refracting surface that can realize conversion between two specified distributions of wavefront. Optimization technique is avoided by solving a partial differential equation governing the surface-profile function. This equation is obtained using the property of congruence and the law of refraction, and its solution in this special case is found to be the same as that obtained in wavefront conjugation. A method based on finding the local coefficients of the surface is developed to solve the equation numerically, and an example is given to illustrate its feasibility.
authors.affiliation: State Key Laboratory of Optical Technologies for Microfabrication, Institute of Optics and Electronics, Chinese Academy of Sciences, ChengDu, China. Ght970201@SOHU.com
authors.forename: Hongtao
authors.initials: H
authors.lastname: Gao
authors.forename: Chunlei
authors.initials: C
authors.lastname: Du
authors.forename: Yudong
authors.initials: Y
authors.lastname: Zhang