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Chin. Phys. B, 2019, Vol. 28(10): 108702    DOI: 10.1088/1674-1056/ab3f1d

Theory and method of dual-energy x-ray grating phase-contrast imaging

Feng Rong(荣锋)1,2, Yan Gao(高艳)1, Cui-Juan Guo(郭翠娟)1, Wei Xu(徐微)1, Wei Xu(徐伟)1
1 College of Electronics and Information Engineering, Tianjin Polytechnic University, Tianjin 300387, China;
2 Tianjin Key Laboratory of Optoelectronic Detection Technology and System, Tianjin Polytechnic University, Tianjin 300387, China
Abstract  The principle of dual-energy x-ray grating phase-contrast imaging (DEPCI) is clarified by using the theory of x-ray interference and Fresnel diffraction. A new method of retrieving phase from the two interferograms is proposed for DEPCI, and its feasibility is verified via simulation. Finally, the proposed method applied to DEPCI experiment demonstrates the effectiveness of the method. This paper lays the theoretical foundation for performance optimization of DEPCI and the further integration of DEPCI and computed tomography.
Keywords:  x-ray imaging      dual-energy analyzer grating      phase retrieval  
Received:  19 May 2019      Revised:  08 August 2019      Accepted manuscript online: 
PACS:  87.59.-e (X-ray imaging)  
  42.79.Dj (Gratings)  
  42.30.Rx (Phase retrieval)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 61405144), the Natural Science Foundation of Tianjin, China (Grant No. 15JCQNJC42100), and the Technology Special Commissioner Project of Tianjin, China (Grant Nos. 16JCTPJC47200 and 16JCTPJC48100).
Corresponding Authors:  Feng Rong     E-mail:

Cite this article: 

Feng Rong(荣锋), Yan Gao(高艳), Cui-Juan Guo(郭翠娟), Wei Xu(徐微), Wei Xu(徐伟) Theory and method of dual-energy x-ray grating phase-contrast imaging 2019 Chin. Phys. B 28 108702

[1] Momose A, Takeda T, Itai Y and Hirano K 1996 Nat. Med. 2 473
[2] Snigirev A, Snigireva I, Kohn V, Kuznetsov S and Schelokov 1995 Rev. Sci. Instrum. 66 5486
[3] Pfeiffer F, Weitkamp T, Bunk O and David C 2006 Nat. Phys. 2 258
[4] Zhu P P, Zhang K, Wang Z L, Liu Y J, Liu X S, Wu Z Y, McDonald S A, Marone F and Stampanoni M 2010 Proc. Natl. Acad. Sci. USA 107 13576
[5] Liu X, Guo J C and Niu H B 2010 Chin. Phys. B 19 070701
[6] Wang F X, Wang Y, Wei G X, Du G H, Xue Y L, Hu T, Li K, Deng B, Xie H and Xiao T Q 2017 Appl. Phys. Lett. 111 174101
[7] Kottler C, Revol V, Kaufmann R and Urban C 2010 J. Appl. Phys. 108 114906
[8] Rong F, Xie Y N, Tai X F and Geng L 2017 Acta Phys. Sin. 66 018701 (in Chinese)
[9] Rong F, Liang Y, Xu W, Lei Y H and Li J 2018 IEEE Photon. Technol. Lett. 30 1795
[10] Yang J, Guo J C, Lei Y H, Yi M H and Chen Li 2017 Chin. Phys. B 26 028701
[11] Donath T, Chabior M, Pfeiffer F, Bunk O, Reznikova E, Mohr J, Hempel E, Popescu S, Hoheisel M, Schuster M, Baumann J and David C 2009 J. Appl. Phys. 106 054703
[12] Lider V V and Kovalchuk M V 2013 Crystallogr. Rep. 58 769
[13] Liu X, Lei Y H, Zhao Z G, Guo J C and Niu H B 2010 Acta Phys. Sin. 59 6927 (in Chinese)
[14] Yaroshenko A, Bech M, Potdevin G, Malecki A, Biernath T, Wolf J, Tapfer A, Schüttler M, Meiser J, Kunka D, Amberger M, Mohr J and Pfeiffer F 2014 Opt. Express 22 547
[15] Yan A, Wu X and Liu H 2008 Opt. Express 16 13330
[16] Weitkamp T, Diaz A and David C 2005 Opt. Express 13 6296
[17] Yang Q, Liu X, Guo J C, Lei Y H, Huang J H and Niu H B 2012 Acta Phys. Sin. 61 160702 (in Chinese)
[18] Momose A 2002 J. Synchrot. Radiat. 9 136
[19] Sasaki S 1990 KEK Report 90-16 (Tsukuba-shi, Japan: National Laboratory for High Energy Physics)
[20] Wei C X, Wu C, Wali F, Wei W B, Bao Y, Luo R H, Wang L, Liu G and Tian Y C 2017 Chin. Phys. B 26 108701
[21] Chapman D, Thomlinson W, Johnston R E, Washburn D, Pisano E, Gmür N, Zhong Z, Menk R, Arfelli F and Sayers D 1997 Phys. Med. Biol. 42 2015
[22] Liu H Q, Ren Y Q, Zhou G Z, He Y, Xue Y L and Xiao T Q 2012 Acta Phys. Sin. 61 078701 (in Chinese)
[23] Shao Q G, Chen J, Wali F, Bao Y, Wang Z L, Zhu P P, Tian Y C and Gao K 2016 Chin. Phys. B 25 108702
[24] Pfeiffer F, Bech M, Bunk O, Kraft P, Eikenberry F E, Brönnimann C, Grünzweig C and David C 2008 Nat. Mater. 7 134
[25] Daisuke S, Sugiyama H, Kunisada T and Ando M 2006 Appl. Radiat. Isot. 64 868
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