Error correction of a phase-only computer-generated hologram for an aspheric surface

Error correction of a phase-only computer-generated hologram for an aspheric surface
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非球面仅相位计算机生成全息图的误差校正

DOI:
10.2971/jeos.2014.14039
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发表时间:
2014-09
期刊:
Journal of the European Optical Society Rapid Publications
影响因子:
--
通讯作者:
Wang, D.
Wang, D.
中科院分区:
其他
文献类型:
--
作者:
Zhou, H.;Qiao, Y. J.;Si, J.;Wang, D.

文献摘要

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将纯位相计算全息图(CGH)作为光学测量的标准模型应用于非球面计算全息检测中,具有简化光路结构、提高入射光衍射效率的优点。然而,在制作多相级计算全息图的编码过程中总是存在误差,并且这种误差在测量过程中会被逐级放大。对计算全息图的编码误差进行了分析,结果表明,计算全息图的编码误差随量化周期的增加而线性增加。例如,如果量化周期为32,则编码误差的最大值为16.46,这可以导致具有512 × 512采样像素的二次抛物面的波前畸变为0.085λ。本文提出了一种基于最小边值偏差的优化方法来消除计算全息图的编码误差。在实验中,我们使用液晶空间光调制器产生计算全息图,并测量二次抛物面重构波前的残差。测量结果表明,在3 ~ 6个周期范围内,残差的均方根值平均下降0.07λ,表明优化方法是有效的。
When applying phase-only computer-generated hologram (CGH) as a standard model of optical measurement in computer-generated holography for aspheric surface testing, it has the advantage of simplifying optical path configuration and improving the diffraction efficiency of the incoming light. However, errors always exists during the encoding process of fabricating multiphase level CGHs and this kind of errors will be amplified level by level in the measurement. According to the analysis of the encoding error, the error of CGH increases linearly when its quantified period increases. For example, if the quantified period is 32, the maximum of encoding error is 16.46 which can lead wave-front aberration 0.085λ of a secondary parabolic surface with 512 x 512 sampling pixels. In this article, an optimization method based on deviation of minimum boundary value has been used to eliminate the encoding error of CGH. In the experiment, we use a liquid crystal spatial light modulator to generate CGHs and measure residuals of reconstructed wave-front of a secondary parabolic surface. The measurement results show that average decrease of the RMS values of the residuals is 0.07λ when their periods range from 3 to 6, which indicates the optimization method is effective.
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