强激光与粒子束, 2011, 23 (12): 3163, 网络出版: 2012-01-04   

计算全息检测离轴非球面的离散相位计算

Discrete phase calculation of computer generated hologram for off-axis aspheric surface test
作者单位
1 中国科学院 光电技术研究所, 成都 610209
2 中国科学院 研究生院, 北京 100039
摘要
为了设计检测离轴非球面的计算全息图(CGH),需要对采样点的相位进行计算。通过平移和旋转,将离轴非球面几何中心的法线作为检测光路光轴。在此基础上,采用光线追迹法,对离轴非球面上采样点的相位分布进行了研究,详细推导了离散相位的计算方法,给出了在3维空间坐标系中,离轴非球面上任意一采样点的相位计算公式,并通过计算、对比同一旋转对称非球面的相位分布对该算法进行了验证。结果表明该计算方法正确,且计算精度能够满足CGH的要求。
Abstract
The phase of sample point should be calculated to design the computer generated hologram(CGH) for testing off-axis aspheric surface. The normal of the geometric center of off-axis aspheric surface was seen as the detection optical axis through shift and rotation. Then the phase distribution on off-axis aspheric surface was studied by ray tracing, and a calculation method of discrete phase was deduced, as well as the formulas for phase computation in three-dimensional coordinate system. The validity of this method is proven by calculating and comparing the phase distribution of a rotational symmetry aspheric surface. The results show that this method is correct, and the calculation accuracy can meet the requirement of CGH for off-axis aspheric surface test.

李世杰, 陈强, 吴高峰, 李良红, 鲜林翰. 计算全息检测离轴非球面的离散相位计算[J]. 强激光与粒子束, 2011, 23(12): 3163. Li Shijie, Chen Qiang, Wu Gaofeng, Li Lianghong, Xian Linhan. Discrete phase calculation of computer generated hologram for off-axis aspheric surface test[J]. High Power Laser and Particle Beams, 2011, 23(12): 3163.

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