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Chin. Phys. B, 2024, Vol. 33(5): 056101    DOI: 10.1088/1674-1056/ad2bf5
CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES Prev   Next  

Theory and verification of moiré fringes for x-ray three-phase grating interferometer

Yu-Zheng Shan(单雨征)1, Yong-Shuai Ge(葛永帅)2,†, Jun Yang(杨君)3, Da-Yu Guo(郭大育)1, Xue-Bao Cai(蔡学宝)4, Xiao-Ke Liu(刘晓珂)5, Xiao-Wen Hou(侯晓文)1,6, and Jin-Chuan Guo(郭金川)1,‡
1 Key Laboratory of Optoelectronic Devices and Systems of the Ministry of Education, Key Laboratory of Optoelectronic Devices and Systems of the Department of Education, Guangdong Province, College of Physics and Optoelectronic Engineering, Shenzhen University, Shenzhen 518060, China;
2 Research Center for Medical Artificial Intelligence, Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences, Shenzhen 518055, China;
3 Institute of Advanced Science Facilities, Shenzhen 518107, China;
4 Institute of Electronic Paper Displays, South China Academy of Advanced Optoelectronics, South China Normal University, Guangzhou 510006, China;
5 College of Biophotonics, South China Normal University, Guangzhou 510631, China;
6 MinFound Medical Systems Co., Ltd., Hangzhou 310018, China
Abstract  Dual-phase and three-phase grating x-ray interference is a promising new technique for grating-based x-ray differential phase contrast imaging. Dual-phase grating interferometers have been relatively completely studied and discussed. In this paper, the corresponding imaging fringe formula of the three-phase grating interferometer is provided. At the same time, the similarities and differences between the three-phase grating interferometer and the dual-phase grating interferometer are investigated and verified, and that the three-phase grating interferometer can produce large-period moiré fringes without using the analyzing grating is demonstrated experimentally. Finally, a simple method of designing three-phase grating and multi-grating imaging systems from geometric optics based on the thin-lens theory of gratings is presented. These theoretical formulas and experimental results provide optimization tools for designing three-phase grating interferometer systems.
Keywords:  x-ray phase contrast      phase grating      moiré fringe  
Received:  26 December 2023      Revised:  16 February 2024      Accepted manuscript online:  22 February 2024
PACS:  61.05.cp (X-ray diffraction)  
  87.59.-e (X-ray imaging)  
  07.85.Fv (X- and γ-ray sources, mirrors, gratings, and detectors)  
  41.50.+h (X-ray beams and x-ray optics)  
Fund: Project supported by LingChuang Research Project of China National Nuclear Corporation and the National Natural Science Foundation of China (Grant No. 12027812).
Corresponding Authors:  Yong-Shuai Ge, Jin-Chuan Guo     E-mail:  ys.ge@siat.ac.cn;jcguo@szu.edu.cn

Cite this article: 

Yu-Zheng Shan(单雨征), Yong-Shuai Ge(葛永帅), Jun Yang(杨君), Da-Yu Guo(郭大育), Xue-Bao Cai(蔡学宝), Xiao-Ke Liu(刘晓珂), Xiao-Wen Hou(侯晓文), and Jin-Chuan Guo(郭金川) Theory and verification of moiré fringes for x-ray three-phase grating interferometer 2024 Chin. Phys. B 33 056101

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