| 矩形孔径上折射率均匀性数据拟合研究 |
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| 引用本文： | 廖志远,邢廷文,刘志祥.矩形孔径上折射率均匀性数据拟合研究[J].光电工程,2011,38(11):146-150. |
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| 作者姓名： | 廖志远 邢廷文 刘志祥 |
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| 作者单位： | 1. 中国科学院光电技术研究所,成都610209;中国科学院研究生院,北京100049
2. 中国科学院光电技术研究所,成都,610209 |
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| 摘 要： | 泽尼克圆多项式在圆形光瞳的正交性和能够代表经典像差而被广泛应用到波前分析中,用泽尼克圆多项式作为矩形光瞳基底函数,通过推导得到在矩形光瞳上正交的多项式.这个在矩形光瞳上正交的多项式不仅是唯一的,而且也能够表示经典像差,就像泽尼克圆多项式在表示圆形光瞳时具有这样的特性一样.矩形光瞳上正交多项式像泽尼克圆多项式一样即可以用...
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| 关 键 词： | 折射率均匀性 矩形光瞳 正交多项式 数据拟合 |
Fitting of Index Homogeneity Data on the Rectangle Pupil |
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| LIAO Zhi-yuan,XING Ting-wen,LIU Zhi-xiang.Fitting of Index Homogeneity Data on the Rectangle Pupil[J].Opto-Electronic Engineering,2011,38(11):146-150. |
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| Authors: | LIAO Zhi-yuan XING Ting-wen LIU Zhi-xiang |
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| Affiliation: | LIAO Zhi-yuan1,2,XING Ting-wen1,LIU Zhi-xiang1 ( 1. Lab of Applied Optics,Institute of Optics and Electronics,Chinese Academy of Sciences,Chengdu 610209,China,2. Graduate University of Chinese Academy of Sciences,Beijing 100049,China ) |
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| Abstract: | Zernike circle polynomials are in widespread use for wavefront analysis because of their orthogonality over a circular pupil and their representation of balanced classical aberrations. Using the circle polynomials as the basis functions for their orthogonalization over rectangle pupil, we derive closed-form polynomials that are orthonormal over it. The polynomials are unique in that they are not only orthogonal across rectangle pupils, but also represent balanced classical aberrations, just as the Zernike c... |
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| Keywords: | index homogeneity rectangle pupil orthogonal polynomial data fitting |
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