题名:  Analysis to the measurement error on the index homogeneity of optical material 
作者:  Liao, Zhiyuan^{1,2}; Xing, Tingwen^{1}; Liu, Zhixiang^{1}

出版日期:  2012

会议名称:  Proceedings of SPIE: 6th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Optical Test and Measurement Technology and Equipment

会议日期:  2012

DOI:  10.1117/12.975921

通讯作者:  Liao, Z.

中文摘要:  In order to get threedimensional distribution of the optical material which has very high index homogeneity, measuring index homogeneity of the main direction of a sample, then opening a rectangle window in the sample to measure the index homogeneity of the window direction. 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, for the main direction is circular, we use the Zernike circle polynomials to fit the main direction interferometric data. From result of fitting the main direction interferometric data, we find the measuring error which must be taken into account. So it is an important question how to choose the orthonormal polynomial for fitting the window direction interferometric data. Using the Zernike circle polynomials as the basis functions, the orthonormal polynomials of the rectangular pupil be obtained from the circle polynomials by the GramSchmidt orthogonalization process, using the first fifteen items of the orthonormal polynomials of the rectangular pupil fit the interferometric data of the window direction, we get a good fitting precision, find the measuring error of some samples considerable at the same. © 2012 SPIE. 
英文摘要:  In order to get threedimensional distribution of the optical material which has very high index homogeneity, measuring index homogeneity of the main direction of a sample, then opening a rectangle window in the sample to measure the index homogeneity of the window direction. 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, for the main direction is circular, we use the Zernike circle polynomials to fit the main direction interferometric data. From result of fitting the main direction interferometric data, we find the measuring error which must be taken into account. So it is an important question how to choose the orthonormal polynomial for fitting the window direction interferometric data. Using the Zernike circle polynomials as the basis functions, the orthonormal polynomials of the rectangular pupil be obtained from the circle polynomials by the GramSchmidt orthogonalization process, using the first fifteen items of the orthonormal polynomials of the rectangular pupil fit the interferometric data of the window direction, we get a good fitting precision, find the measuring error of some samples considerable at the same. © 2012 SPIE. 
收录类别:  Ei

语种:  英语

卷号:  8417

ISSN号:  0277786X

文章类型:  会议论文

页码:  84173G

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内容类型:  会议论文

URI标识:  http://ir.ioe.ac.cn/handle/181551/7784

Appears in Collections:  自适应光学技术研究室（八室）_会议论文

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作者单位:  1. Lab of Applied Optics, Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu, China 2. Graduate School, Chinese Academy of Sciences, Beijing 100039, China

Recommended Citation: 
Liao, Zhiyuan,Xing, Tingwen,Liu, Zhixiang. Analysis to the measurement error on the index homogeneity of optical material[C]. 见:Proceedings of SPIE: 6th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Optical Test and Measurement Technology and Equipment. 2012.


