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Analysis to the measurement error on the index homogeneity of optical material
Liao, Zhiyuan1,2; Xing, Tingwen1; Liu, Zhixiang1; Liao, Z.
Volume8417
Pages84173G
2012
Language英语
ISSN0277786X
DOI10.1117/12.975921
Indexed ByEi
Subtype会议论文
AbstractIn order to get three-dimensional 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 Gram-Schmidt 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.; In order to get three-dimensional 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 Gram-Schmidt 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.
Conference NameProceedings of SPIE: 6th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Optical Test and Measurement Technology and Equipment
Conference Date2012
Citation statistics
Document Type会议论文
Identifierhttp://ir.ioe.ac.cn/handle/181551/7784
Collection自适应光学技术研究室(八室)
Corresponding AuthorLiao, Z.
Affiliation1. 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
GB/T 7714
Liao, Zhiyuan,Xing, Tingwen,Liu, Zhixiang,et al. Analysis to the measurement error on the index homogeneity of optical material[C],2012:84173G.
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