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
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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.
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Key words:
- off-axis aspheric surface /
- computer generated hologram /
- discrete phase /
- ray tracing
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