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矩形元件离焦及像散计算方法
引用本文:高波,徐凯源,柴立群,李强,魏小红,刘昂.矩形元件离焦及像散计算方法[J].强激光与粒子束,2011,23(12):16-17.
作者姓名:高波  徐凯源  柴立群  李强  魏小红  刘昂
作者单位:1.成都精密光学工程研究中心, 成都 61 0041
摘    要:利用Zernike多项式进行最小二乘拟合来计算矩形元件的离焦及像散,不需要波面数据在圆域内正交,从而避免了波面数据缺失区域的数据插值。通过计算圆形口径数据,与商业软件计算结果比较,差别小于0.005倍波长,证明了该方法计算离焦及像散的可行性。分析了不同长宽比下矩形元件的离焦及像散。结果表明用商业软件计算矩形口径元件像散时,随着长宽比的增加,偏差会明显增大。

关 键 词:离焦    像散    最小二乘法    矩形口径

Computation of power and astigmatism of rectangular pupil wavefront
Gao Bo , Xu Kaiyuan , Chai Liqun , Li Qiang , Wei Xiaohong , Liu Ang.Computation of power and astigmatism of rectangular pupil wavefront[J].High Power Laser and Particle Beams,2011,23(12):16-17.
Authors:Gao Bo  Xu Kaiyuan  Chai Liqun  Li Qiang  Wei Xiaohong  Liu Ang
Affiliation:1.Chengdu Fine Optical Engineering Research Center,Chengdu 610041,China
Abstract:Least square method is used to fit power and astigmatism of rectangular pupil wavefront data, which avoids data interpolation of the blank area in circular domain. In the experiments, the maximal difference of power and astigmatism of circular domain data between commercial software and our method is less than 0.005 wavelength, which proves the proposed method’s feasibility. For rectangular pupil wavefront data, the differences of astigmatism increase as the rectangle element’s length-width ratio increases. Therefore the proposed method is more applicable for rectangular pupil wavefront calculation.
Keywords:astigmatism  least-square method  rectangular pupil
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