Chinese Optics Letters, 2005, 3 (10): 10618, Published Online: Jun. 6, 2006  

Application of the probability theory in predicting 3D focusing behaviors of compound X-ray refractive lenses

Author Affiliations
1 College of Information Engineering, Zhejiang University of Technology, Hangzhou 310032
2 State Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130022
3 Department of Mechanical Engineering, Changchun Institute of Technology, Changchun 130020
Abstract
A theoretical method based on the diffractive theory is used for predicting three-dimensional (3D) focusing performances of the compound X-rays refractive lenses (CRLs). However, the derivation of the 3D intensity distribution near focus for the X-ray refractive lenses is quite complicated. In this paper, we introduce a simple theoretical method that is based on the first and second moments in the theory of probability. As an example, the 3D focusing performance of a CRL with Si material is predicted. Moreover, the results are compared with those obtained by the diffractive theory. It is shown that the method introduced in this paper is accurate enough.

Zichun Le, Xinjian Zhao, Jingqiu Liang, Yaping Sun, Kai Liu, Ming Zhang, Shuqin Guo, Bisheng Quan. Application of the probability theory in predicting 3D focusing behaviors of compound X-ray refractive lenses[J]. Chinese Optics Letters, 2005, 3(10): 10618.

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