Search

Article

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

Response function of angle signal in two-dimensional grating imaging

Ju Zai-Qiang Wang Yan Bao Yuan Li Pan-Yun Zhu Zhong-Zhu Zhang Kai Huang Wan-Xia Yuan Qing-Xi Zhu Pei-Ping Wu Zi-Yu

Response function of angle signal in two-dimensional grating imaging

Ju Zai-Qiang, Wang Yan, Bao Yuan, Li Pan-Yun, Zhu Zhong-Zhu, Zhang Kai, Huang Wan-Xia, Yuan Qing-Xi, Zhu Pei-Ping, Wu Zi-Yu
PDF
Get Citation

(PLEASE TRANSLATE TO ENGLISH

BY GOOGLE TRANSLATE IF NEEDED.)

  • In this paper, we derive the response function of angle signal in a two-dimensional X-ray grating interferometry system under the condition of parallel coherent light, and depict the surface of the function with Matlab.Although there are four kinds of commonly used beam splitter gratings and three kinds of analyzer gratings, and there are still different compound modes between them, we may find that the ultimate surface of the response function of angle signal can only be of three kinds: the peak type, the valley type, and the peak-valley symmetry type of shifting surfaces. As there is a numerical complementary ralationship between the peak type and the valley type of shifting surfaces, we can take the two kinds as one; and finally we only need to consider two kinds of shifting surface.This conclusion simplies the common understanding of the two-dimensional X-ray grating interferometry method, and lays the foundation for the research of quantitatively extracting the two-demensional signal in the future.
    • Funds: Project partly supported by the National Basic Research Program of China (Grant No.2012CB825800), the National Natural Science Foundation of China (Grant Nos. 11205189, 11375225, U1332109), and the Knowledge Innovation Program of the Chinese Academy of Sciences (Grant No. KJCX2-YW-N42).
    [1]

    Fitzgerald R 2000 Phys. Today 53 23

    [2]

    Huang W X, Yuan Q X, Tian Y L, Zhu P P, Jiang X M, Wang J Y 2005 Acta Phys. Sin. 54 6 (in Chinese) [黄万霞, 袁清习, 田玉莲, 朱佩平, 姜晓明, 王寯越2005 物理学报54 6]

    [3]

    Pfeiffer F, Bech M, Bunk O, Kraft P, Eikenberry E F, Bronnimann C, Grunzweig C, David C 2008 Nature Materials 7 134

    [4]

    Bonse U, Hart M 1965 Appl. Phys. Lett. 6 155156

    [5]

    Momose A 1995 Nucl. Instrum. Meth. A 352 622628

    [6]

    Chapman D, Thomlinson W, Johnston R, Washburn D, Pisano E, Gmur N, Zhong Z, Menk R, Arfelli F, Sayers D 1997 Phys. Med. Biol. 42 2015

    [7]

    Zhu P P, Yuan Q X, Huang W X, Wang J Y, Shu H, Wu Z Y, Xian D C 2006 Acta Phys. Sin. 55 1089 (in Chinese)[朱佩平, 袁清习, 黄万霞, 王寯越, 舒航, 吴自玉, 冼鼎昌2006 物理学报55 1089]

    [8]

    Snigirev A, Snigireva I, Kohn V, Kuznetsov S, Schelokov I 1995 Rev. Sci. Instrum. 66 5486

    [9]

    Pfeiffer F, Weitkamp T, Bunk O, David C 2006 Nature Physics 2 258

    [10]

    Weitkamp T, Diaz A, David C, Pfeiffer F, Stampanoni M, Cloetens P, Ziegler E 2005 Optics Express 13 6296

    [11]

    Yang Q, Liu X, Guo J C, Lei Y H, Huang J H, Niu H B 2012 Acta Phys. Sin. 61 160702 (in Chinese)[杨强, 刘鑫, 郭金川, 雷耀虎, 黄建衡, 牛憨笨2012 物理学报61 160702]

    [12]

    Zhu P P, Wu Z Y 2007 Physics 36 443 (in Chinese) [朱佩平, 吴自玉2007 物理36 443]

    [13]

    Momose A, Kawamoto S, Koyama I, Hamaishi Y, Takai K, Suzuki Y 2003 Jpn. J. Appl. Phys. 42 866

    [14]

    Chen B, Zhu P P, Liu Y J, Wang Y, Yuan Q X, Huang W X, Ming H, Wu Z Y 2008 Acta Phys. Sin. 57 1576 (in Chinese)[陈博, 朱佩平, 刘宜晋, 王越, 袁清习, 黄万霞, 明海, 吴自玉2008 物理学报57 1576]

    [15]

    Zhu P, Zhang K, Wang Z, Liu Y, Liu X, Wu Z, McDonald S, Marone F, Stampanoni M 2010 Proc. Natl. Acad. Sci. 107 13576

    [16]

    Liu X S, Li N R, Zhu P P, Liu Y J, Zhang K, Wang Z L, Hong Y L, Zhang H T, Yuan Q X, Huang W X, Wu Z Y 2010 Chin. Phys. B 19 040701

    [17]

    Zanette I, Weitkamp T, Donath T, Rutishauser S, David C 2010 Physical Review Letters 105 248102

    [18]

    L N G 2006 Fourier optics (Beijing: China Machine Press) p90 (in Chinese) [吕乃光2006 傅里叶光学(北京: 机械工业出版社) 第90 页]

    [19]

    David C, Weitkamp T, Pfeiffer F, Diaz A, Bruder J, Rohbeck T, Groso A, Bunk O, Stampanoni M, Cloetens P 2007 Spectrochimica Acta B 62 626

    [20]

    Zanette I, David C, Rutishauser S, Weitkamp T 2010 XRay Optics and Microanalysis: Proceedings of the 20th International Congress Karlsruhe, Germany, September 15-18, 2009 p73

  • [1]

    Fitzgerald R 2000 Phys. Today 53 23

    [2]

    Huang W X, Yuan Q X, Tian Y L, Zhu P P, Jiang X M, Wang J Y 2005 Acta Phys. Sin. 54 6 (in Chinese) [黄万霞, 袁清习, 田玉莲, 朱佩平, 姜晓明, 王寯越2005 物理学报54 6]

    [3]

    Pfeiffer F, Bech M, Bunk O, Kraft P, Eikenberry E F, Bronnimann C, Grunzweig C, David C 2008 Nature Materials 7 134

    [4]

    Bonse U, Hart M 1965 Appl. Phys. Lett. 6 155156

    [5]

    Momose A 1995 Nucl. Instrum. Meth. A 352 622628

    [6]

    Chapman D, Thomlinson W, Johnston R, Washburn D, Pisano E, Gmur N, Zhong Z, Menk R, Arfelli F, Sayers D 1997 Phys. Med. Biol. 42 2015

    [7]

    Zhu P P, Yuan Q X, Huang W X, Wang J Y, Shu H, Wu Z Y, Xian D C 2006 Acta Phys. Sin. 55 1089 (in Chinese)[朱佩平, 袁清习, 黄万霞, 王寯越, 舒航, 吴自玉, 冼鼎昌2006 物理学报55 1089]

    [8]

    Snigirev A, Snigireva I, Kohn V, Kuznetsov S, Schelokov I 1995 Rev. Sci. Instrum. 66 5486

    [9]

    Pfeiffer F, Weitkamp T, Bunk O, David C 2006 Nature Physics 2 258

    [10]

    Weitkamp T, Diaz A, David C, Pfeiffer F, Stampanoni M, Cloetens P, Ziegler E 2005 Optics Express 13 6296

    [11]

    Yang Q, Liu X, Guo J C, Lei Y H, Huang J H, Niu H B 2012 Acta Phys. Sin. 61 160702 (in Chinese)[杨强, 刘鑫, 郭金川, 雷耀虎, 黄建衡, 牛憨笨2012 物理学报61 160702]

    [12]

    Zhu P P, Wu Z Y 2007 Physics 36 443 (in Chinese) [朱佩平, 吴自玉2007 物理36 443]

    [13]

    Momose A, Kawamoto S, Koyama I, Hamaishi Y, Takai K, Suzuki Y 2003 Jpn. J. Appl. Phys. 42 866

    [14]

    Chen B, Zhu P P, Liu Y J, Wang Y, Yuan Q X, Huang W X, Ming H, Wu Z Y 2008 Acta Phys. Sin. 57 1576 (in Chinese)[陈博, 朱佩平, 刘宜晋, 王越, 袁清习, 黄万霞, 明海, 吴自玉2008 物理学报57 1576]

    [15]

    Zhu P, Zhang K, Wang Z, Liu Y, Liu X, Wu Z, McDonald S, Marone F, Stampanoni M 2010 Proc. Natl. Acad. Sci. 107 13576

    [16]

    Liu X S, Li N R, Zhu P P, Liu Y J, Zhang K, Wang Z L, Hong Y L, Zhang H T, Yuan Q X, Huang W X, Wu Z Y 2010 Chin. Phys. B 19 040701

    [17]

    Zanette I, Weitkamp T, Donath T, Rutishauser S, David C 2010 Physical Review Letters 105 248102

    [18]

    L N G 2006 Fourier optics (Beijing: China Machine Press) p90 (in Chinese) [吕乃光2006 傅里叶光学(北京: 机械工业出版社) 第90 页]

    [19]

    David C, Weitkamp T, Pfeiffer F, Diaz A, Bruder J, Rohbeck T, Groso A, Bunk O, Stampanoni M, Cloetens P 2007 Spectrochimica Acta B 62 626

    [20]

    Zanette I, David C, Rutishauser S, Weitkamp T 2010 XRay Optics and Microanalysis: Proceedings of the 20th International Congress Karlsruhe, Germany, September 15-18, 2009 p73

  • [1] Ming Hai, Chen Bo, Liu Yi-Jin, Zhu Pei_Ping, Wang Jun-Yue, Yuan Qing_Xi, Huang Wan_Xia, Wu Zi-Yu. Theory and method of X_ray grating phase contrast imaging. Acta Physica Sinica, 2008, 57(3): 1576-1581. doi: 10.7498/aps.57.1576
    [2] Xian Ding-Chang, Zhu Pei-Ping, Yuan Qing-Xi, Huang Wan-Xia, Wang Jun-Yue, Shu Hang, Wu Zi-Yu. Principles of X-ray diffraction enhanced imaging. Acta Physica Sinica, 2006, 55(3): 1089-1098. doi: 10.7498/aps.55.1089
    [3] Zhu Pei-Ping, Wang Jun-Yue, Yuan Qing-Xi, Tian Yu-Lian, Huang Wan-Xia, Li Gang, Hu Tian-Dou, Jiang Xiao-Ming, Wu Zi-Yu. Study on the methods for diffraction-enhanced imaging with two crystals. Acta Physica Sinica, 2005, 54(1): 58-63. doi: 10.7498/aps.54.58
    [4] Zhao Xue-Jiao, Zhang Kai, Hong You-Li, Huang Wan-Xia, Yuan Qing-Xi, Zhu Pei-Ping, Wu Zi-Yu. A simple method of extracting multiple-information with diffraction enhanced imaging . Acta Physica Sinica, 2013, 62(12): 124202. doi: 10.7498/aps.62.124202
    [5] Research on the method of single exposure phase contrast imaging without analyser grating. Acta Physica Sinica, 2020, (): . doi: 10.7498/aps.69.20201170
    [6] Yang Qiang, Liu Xin, Guo Jin-Chuan, Lei Yao-Hu, Huang Jian-Heng, Niu Han-Ben. Experimental study of X-ray phase contrast imaging without absorbing grating. Acta Physica Sinica, 2012, 61(16): 160702. doi: 10.7498/aps.61.160702
    [7] GUO RU, YANG ZHEN-QING. FIELD THEORY OF THE DISPLACIVE INCOMMENSURATE PHASE. Acta Physica Sinica, 1984, 33(5): 718-721. doi: 10.7498/aps.33.718
    [8] Chen Ming-Lai, Luo Xiu-Juan, Zhang Yu, Lan Fu-Yang, Liu Hui, Cao Bei, Xia Ai-Li. Sheared-beam imaging target reconstruction based on all-phase spectrum analysis. Acta Physica Sinica, 2017, 66(2): 024203. doi: 10.7498/aps.66.024203
    [9] Lu Chang-Ming, Chen Ming-Lai, Luo Xiu-Juan, Zhang Yu, Liu Hui, Lan Fu-Yang, Cao Bei. Target reconstruction algorithm for four-beam sheared coherent imaging. Acta Physica Sinica, 2017, 66(11): 114201. doi: 10.7498/aps.66.114201
    [10] PAN CHIA-CHENG. ON THE GENERALIZED SLOPE-DEFLECTION EQUATIONS. Acta Physica Sinica, 1955, 11(4): 317-338. doi: 10.7498/aps.11.317
    [11] Shi Zhan, Chen Lai-Zhu, Tong Yong-Shuai, Zheng Zhi-Bin, Yang Shui-Yuan, Wang Cui-Ping, Liu Xing-Jun. Phase drift of magnetoelectric effect in Terfenol-D/PZT composite materials. Acta Physica Sinica, 2013, 62(1): 017501. doi: 10.7498/aps.62.017501
    [12] Wang Jian-Bo, Qian Jin, Liu Zhong-You, Lu Zu-Liang, Huang Lu, Yang Yan, Yin Cong, Li Tong-Bao. Methode of phase correction of displacement measurement using Fabry-Perot interferometer in calculable capacitor. Acta Physica Sinica, 2016, 65(11): 110601. doi: 10.7498/aps.65.110601
    [13] Lan Fu-Yang, Luo Xiu-Juan, Chen Ming-Lai, Zhang Yu, Liu Hui. Sheared-beam imaging of object with depth information. Acta Physica Sinica, 2017, 66(20): 204202. doi: 10.7498/aps.66.204202
    [14] Fu Shao-Jun, Xu Xiang-Dong, Lou Jun, He Shi-Ping. Design and fabrication of holographic variable line-spacing gratings for position sensor. Acta Physica Sinica, 2006, 55(12): 6405-6409. doi: 10.7498/aps.55.6405
    [15] Tang Qian, Zhao Bao-Chang, Qiu Yue-Hong, Zhang Chun-Min, Mu Ting-Kui. Technology of polarization interference imaging spectral based on pupil division and angle shear. Acta Physica Sinica, 2012, 61(23): 230701. doi: 10.7498/aps.61.230701
    [16] Li Yuan-Jie, He Xiao-Liang, Kong Yan, Wang Shou-Yu, Liu Cheng, Zhu Jian-Qiang. Shearing interferometric electron beam imaging based on ptychographic iterative engine method. Acta Physica Sinica, 2017, 66(13): 134202. doi: 10.7498/aps.66.134202
    [17] Li Jian-Xin, Bai Cai-Xun, Liu Qin, Shen Yan, Xu Wen-Hui, Xu Yi-Xuan. Beam shearing characteristic analysis of interferometric hyperspectral imaging system. Acta Physica Sinica, 2017, 66(19): 190704. doi: 10.7498/aps.66.190704
    [18] Lan Fu-Yang, Luo Xiu-Juan, Fan Xue-Wu, Zhang Yu, Chen Ming-Lai, Liu Hui, Jia Hui. Effect of uplink atmospheric wavefront distortion on image quality of sheared-beam imaging. Acta Physica Sinica, 2018, 67(20): 204201. doi: 10.7498/aps.67.20181144
    [19] Tian Jing, Hou Mei-Jiang, Jiang Yang, Zhang Hong-Xu, Bai Guang-Fu, Feng Hao. High sensitivity fiber displacement sensor based compound ring laser cavity with linear variation of beat frequency signal. Acta Physica Sinica, 2020, 69(18): 184217. doi: 10.7498/aps.69.20200385
    [20] Mao Wei, Zhang Shu-Lian, Zhang Lian-Qing, Zhu Jun, Li Yan. Study on displacement measurement with optical feedback of dual frequency laser. Acta Physica Sinica, 2006, 55(9): 4704-4708. doi: 10.7498/aps.55.4704
  • Citation:
Metrics
  • Abstract views:  1224
  • PDF Downloads:  843
  • Cited By: 0
Publishing process
  • Received Date:  31 October 2013
  • Accepted Date:  26 December 2013
  • Published Online:  05 April 2014

Response function of angle signal in two-dimensional grating imaging

  • 1. Institute of high energy physics, Beijing 100049, China;
  • 2. University of Chinese Academy of Sciences, Beijing 100049, China;
  • 3. National Synchrotron Radiation Laboratory, University of Science and Technology of China, Hefei 230026, China
Fund Project:  Project partly supported by the National Basic Research Program of China (Grant No.2012CB825800), the National Natural Science Foundation of China (Grant Nos. 11205189, 11375225, U1332109), and the Knowledge Innovation Program of the Chinese Academy of Sciences (Grant No. KJCX2-YW-N42).

Abstract: In this paper, we derive the response function of angle signal in a two-dimensional X-ray grating interferometry system under the condition of parallel coherent light, and depict the surface of the function with Matlab.Although there are four kinds of commonly used beam splitter gratings and three kinds of analyzer gratings, and there are still different compound modes between them, we may find that the ultimate surface of the response function of angle signal can only be of three kinds: the peak type, the valley type, and the peak-valley symmetry type of shifting surfaces. As there is a numerical complementary ralationship between the peak type and the valley type of shifting surfaces, we can take the two kinds as one; and finally we only need to consider two kinds of shifting surface.This conclusion simplies the common understanding of the two-dimensional X-ray grating interferometry method, and lays the foundation for the research of quantitatively extracting the two-demensional signal in the future.

Reference (20)

Catalog

    /

    返回文章
    返回