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Research of the construction method for optical free form surfaces based on aplanatism
YE Jingfei #,GAO Zhishan *,LIU Xiaoli,YANG Zhongming
Institute of Electrical Engineering&Photoelectric Technology, Nanjing, 210094,China
*Correspondence author
#Submitted by
Subject:
Funding: the National Natural Science Foundation of China(No.NSFC, No: 60678048, 60977008), the Doctoral Foundation of Ministry of Educatio)
Opened online: 6 March 2013
Accepted by: none
Citation: YE Jingfei,GAO Zhishan,LIU Xiaoli.Research of the construction method for optical free form surfaces based on aplanatism[OL]. [ 6 March 2013] http://en.paper.edu.cn/en_releasepaper/content/4524296
 
 
The representation and design of the optical free form surfaces(OFFS) is a notably topic in the modern optical system design. In this paper, despite the challenges in manufacture and metrology of optical free form surfaces, an algorithm for constructing the OFFS based on the aplanatism in geometrical optics is presented. Equations for getting the surface data are derived by geometric optics and ray vectors. The treatment of equivalent abbe sphere is introduced to the algorithm to make it more straightforward than Wassermann-Wolf differential equations. Some considerations and restrictions that validate the algorithm are discussed. According to the algorithm, tabular data shape is derived and sampled data points are well fitted by Chebyshev polynomials, thereby gaining the great approximate optical surfaces.
Keywords:geometric optics, free form surface, representation, aplanatism
 
 
 

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