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矩形孔径柱面镜面形拟合基底多项式研究
引用本文:孙玮苑,叶东,黄亚.矩形孔径柱面镜面形拟合基底多项式研究[J].广东电脑与电讯,2018,1(11):8-11.
作者姓名:孙玮苑  叶东  黄亚
作者单位:南京邮电大学通达学院; 江苏省湖泊环境遥感技术工程实验室; 中国科学院国家天文台南京天文光学技术研究所
基金项目:江苏省湖泊环境遥感技术工程实验室资助项目JSLERS-2018-004
摘    要:对矩形孔径柱面镜面形的拟合方法进行了研究,将矩形域的扩展Zernike多项式与Chebyshev多项式分别作为面形拟合基底,对导出面形数据进行波面复原,分析赛德像差与拟合基底的对应关系对比拟合结果,Chebyshev多项式较矩形域的扩展Zernike多项式有较好的像差分离能力。

关 键 词:面形拟合  矩形孔径柱面镜  Zernike多项式  Chebyshev多项式  

Research on the Polynomial for Fitting Cylindrical Surface in Rectangular Aperture
SUN Wei-yuan YE Dong HUANG Ya.Research on the Polynomial for Fitting Cylindrical Surface in Rectangular Aperture[J].Computer & Telecommunication,2018,1(11):8-11.
Authors:SUN Wei-yuan YE Dong HUANG Ya
Abstract:In this paper, the fitting method of cylindrical mirror with rectangular aperture is studied. The extended Zernike polynomial and Chebyshev polynomial in rectangular aperture are used as the polynomial of surface fitting respectively. The wavefront is reconstructed from the surface data. The corresponding relationship between Seidel aberration and the fitting polynomial is analyzed and compared. The Chebyshev polynomial shows the good ability of separating aberration than the extended Zernike polynomial in rectangular aperture.
Keywords:surface fitting  rectangular aperture  Zernike polynomial  Chebyshev polynomial  
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