Problems on design of computer-generated holograms for testing aspheric surfaces:principle and calculation

作     者：高志山 孔梅梅 朱日宏 陈磊 

作者机构：Department of OpticM Engineering Nanjing University of Science and Technology 

出 版 物：《Chinese Optics Letters》 (中国光学快报（英文版）)

年 卷 期：2007年第5卷第4期

页      码：241-244页

摘      要：Interferometric optical testing using computer-generated hologram （CGH） has provided an approach to highly accurate measurement of aspheric surfaces. While designing the CGH null correctors, we should make them with as small aperture and low spatial frequency as possible, and with no zero slope of phase except at center, for the sake of insuring low risk of substrate figure error and feasibility of fabrication. On the basis of classic optics, a set of equations for calculating the phase function of CGH are obtained. These equations lead us to find the dependence of the aperture and spatial frequency on the axial distance from the tested aspheric surface for the CGH. We also simulate the optical path difference error of the CGH relative to the accuracy of controlling laser spot during fabrication. Meanwhile, we discuss the constraints used to avoid zero slope of phase except at center and give a design result of the CGH for the tested aspheric surface. The results ensure the feasibility of designing a useful CGH to test aspheric surface fundamentally.

主 题 词：Calculations Holograms Optical design 

学科分类：0808[工学-自动化类] 070207[070207] 0809[工学-计算机类] 07[理学] 08[工学] 0805[工学-能源动力学] 0803[工学-仪器类] 0702[理学-物理学类] 

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