| 基于Zernike多项式进行波面拟合研究 |
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| 引用本文： | 张伟,刘剑峰,龙夫年,王治乐.基于Zernike多项式进行波面拟合研究[J].光学技术,2005,31(5):675-678. |
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| 作者姓名： | 张伟 刘剑峰 龙夫年 王治乐 |
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| 作者单位： | 哈尔滨工业大学,空间光学工程研究中心,哈尔滨,150001 |
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| 摘 要： | 基于Zernike多项式利用Householder变换法对不同空间频率径向误差和不同口径局部误差进行了拟合,得到了拟合误差的均方根(RMS)值,分析了Zernike多项式的局限性。结果表明,Zernike在拟合径向误差时,受到最大空间频率的限制;在拟合局部误差时要受到局部误差口径大小的限制,并且会引起额外的波动。
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| 关 键 词： | Zernike多项式 波面拟合 径向误差 局部误差 |
| 文章编号： | 1002-1582(2005)05-0675-04 |
| 修稿时间： | 2004年8月16日 |
Study on wavefront fitting using Zernike polynomials |
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| ZHANG Wei,LIU Jian-feng,LONG Fu-nian,WANG Zhi-le.Study on wavefront fitting using Zernike polynomials[J].Optical Technique,2005,31(5):675-678. |
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| Authors: | ZHANG Wei LIU Jian-feng LONG Fu-nian WANG Zhi-le |
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| Abstract: | Both radial errors with different spatial frequencies and local errors with different aperture sizes were fitted using Zernike polynomials. Householder transformation method was applied to work out Zernike coefficients, getting the RMS value of fitting errors. The limitation of Zernike polynomials was analyzed. The results showed that the maximum spatial frequency limits the fitting accuracy of radial errors, and the aperture size limits the fitting accuracy of local errors, generating extra ripples. |
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| Keywords: | Zernike polynomials wavefront fitting radial errors local errors |
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