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

Digital simulation for coherent X-ray diffractive imaging

Zhou Guang-Zhao Tong Ya-Jun Chen Can Ren Yu-Qi Wang Yu-Dan Xiao Ti-Qiao

Citation:

Digital simulation for coherent X-ray diffractive imaging

Zhou Guang-Zhao, Tong Ya-Jun, Chen Can, Ren Yu-Qi, Wang Yu-Dan, Xiao Ti-Qiao
PDF
Get Citation

(PLEASE TRANSLATE TO ENGLISH

BY GOOGLE TRANSLATE IF NEEDED.)

  • Phase retrieval is one of the most important steps for coherent X-ray diffractive imaging (CXDI), Which uses the oversampled far-field diffraction pattern for phase retrieval iterative algorithm in order to achieve the lost phase information. Here we used a small nonperiodic 2D digital image as the object for studying the effect of the oversampling ratio and obtained the optimum oversampling ratio of 3—7 when the iteration times was 1000. We also added random noise to the diffraction pattern to examine the applicability of this approach to real data. We found the reconstruction failed when the signal to noise ratio is less than 10. As the reconstruction process may fail when the twin image or stochastic shift appears in the reconstructed image simultaneously, we explained why these phenomena come into being, and found methods to overcome the difficulty effectively.
    [1]

    Liu L X, Du G H, Hu W, Xie H L, Xiao T Q 2007 Acta Phys. Sin. 56 4556(in Chinese) [刘丽想、杜国浩、胡 雯、谢红兰、肖体乔 2007 物理学报 56 4556]

    [2]

    Shi S M, Chen R C, Xue Y L, Ren Y Q, Du G H, Deng B, Xie H L, Xiao T Q 2008 Acta Phys. Sin. 57 6319(in Chinese) [师绍猛、陈荣昌、薛艳玲、任玉琦、杜国浩、邓 彪、谢红兰、肖体乔 2008 物理学报 57 6319]

    [3]

    Xue Y L, Xiao T Q, Wu L H, Chen C, Guo R Y, Du G H, Xie H L, Deng B, Ren Y Q, Xu H J 2010 Acta Phys. Sin. 59 5496(in Chinese) [薛艳玲、肖体乔、吴立宏、陈 灿、郭 荣怡、杜国浩、谢红兰、邓 彪、任玉琦、徐洪杰 2010 物理学报 59 5496] 〖4] Xie H L, Hu W, Luo H X, Du G H, Deng B, Chen R C, Xue Y L, Shi S M, Xiao T Q 2008 Acta Phys. Sin. 57 7044(in Chinese) [谢红兰、胡 雯、罗红心、杜国浩、邓 彪、陈荣昌、薛艳玲、师绍猛、肖体乔 2008 物理学报 57 7044]

    [4]

    Marchesini S, Chapman H N, Hau-Riege S P, London R A, Szoke A 2003 Opt. Express. 11 2344

    [5]

    Miao J W, Ishikawa T, Shen Q, Earnest T 2008 Annu. Rev. Phys. Chem. 59 387

    [6]

    Sayre D 1952 Acta Cryst. 5 843

    [7]

    Sayre D, Schlenker M 1980 Lectare Notes in physics (vol.112)(Berlin:Springer) p229

    [8]

    Fienup J R 1982 Appl. Opt. 21 2758

    [9]

    Miao J W, Charalambous P, Kirz J, Sayre D 1999 Nature 400 342

    [10]

    Miao J W, Chen C C, Song C Y, Nishino Y, Kohmura Y, Ishikawa T, Damien R J, Lee T K, Risbud S H 2006 Phys. Rev. Lett. 97 215503

    [11]

    Chapman H N, Barty A, Marchesini S, Noy A, Cui C, Howells M R, Rosen R, He H, Spence J C H, Weierstall U, Beetz T, Jacobsen C, Shapiro D 2006 J. Opt. Soc. Am. 23 1179

    [12]

    Abbey B, Williams G J, Pfeifer M A, Clark J N, Putkunz C T, Torrance A, McNulty I, Levin T M, Peele A G, Nugent K A 2008 Appl. Phys. Lett. 93 214101

    [13]

    Thibault P, Elser V, Jacobsen C, Shapiro D, Sayre D 2006 Acta Cryst. 62 248

    [14]

    Hau-Riege S P, London R A, Szoke A 2004 Phys. Rev. E 69 051906

    [15]

    Hau-Riege S P, Chapman H N, Krzywinski J, Sobierajski R, Bajt S, London R A, Bergh M, Caleman C, Nietubyc R, Juha L, Kuba J, Spiller E, Baker S, Bionta R, Tinten K S, Stojanovic N, Kjornrattanawanich B, Gullikson E, Plnjes E, Toleikis S, Tschentscher T 2007 Phys. Rev. Lett. 98 145502

    [16]

    Raines K S, Sara S, Richard L S, Jiang H D, Jose A R, Benjamin P F, Henry C K, Du J C, Miao J W 2009 Nature 463 214

    [17]

    Gerchberg R W, Saxton W O 1972 Optik 35 237

    [18]

    Henke B L, Gullikson E M, Davis J C 1993 At. Data Nucl. Data Tables 54 181

    [19]

    Miao J W, Sayre D, Chapman H N 1998 J. Opt. Soc. Am. A 15 1662

  • [1]

    Liu L X, Du G H, Hu W, Xie H L, Xiao T Q 2007 Acta Phys. Sin. 56 4556(in Chinese) [刘丽想、杜国浩、胡 雯、谢红兰、肖体乔 2007 物理学报 56 4556]

    [2]

    Shi S M, Chen R C, Xue Y L, Ren Y Q, Du G H, Deng B, Xie H L, Xiao T Q 2008 Acta Phys. Sin. 57 6319(in Chinese) [师绍猛、陈荣昌、薛艳玲、任玉琦、杜国浩、邓 彪、谢红兰、肖体乔 2008 物理学报 57 6319]

    [3]

    Xue Y L, Xiao T Q, Wu L H, Chen C, Guo R Y, Du G H, Xie H L, Deng B, Ren Y Q, Xu H J 2010 Acta Phys. Sin. 59 5496(in Chinese) [薛艳玲、肖体乔、吴立宏、陈 灿、郭 荣怡、杜国浩、谢红兰、邓 彪、任玉琦、徐洪杰 2010 物理学报 59 5496] 〖4] Xie H L, Hu W, Luo H X, Du G H, Deng B, Chen R C, Xue Y L, Shi S M, Xiao T Q 2008 Acta Phys. Sin. 57 7044(in Chinese) [谢红兰、胡 雯、罗红心、杜国浩、邓 彪、陈荣昌、薛艳玲、师绍猛、肖体乔 2008 物理学报 57 7044]

    [4]

    Marchesini S, Chapman H N, Hau-Riege S P, London R A, Szoke A 2003 Opt. Express. 11 2344

    [5]

    Miao J W, Ishikawa T, Shen Q, Earnest T 2008 Annu. Rev. Phys. Chem. 59 387

    [6]

    Sayre D 1952 Acta Cryst. 5 843

    [7]

    Sayre D, Schlenker M 1980 Lectare Notes in physics (vol.112)(Berlin:Springer) p229

    [8]

    Fienup J R 1982 Appl. Opt. 21 2758

    [9]

    Miao J W, Charalambous P, Kirz J, Sayre D 1999 Nature 400 342

    [10]

    Miao J W, Chen C C, Song C Y, Nishino Y, Kohmura Y, Ishikawa T, Damien R J, Lee T K, Risbud S H 2006 Phys. Rev. Lett. 97 215503

    [11]

    Chapman H N, Barty A, Marchesini S, Noy A, Cui C, Howells M R, Rosen R, He H, Spence J C H, Weierstall U, Beetz T, Jacobsen C, Shapiro D 2006 J. Opt. Soc. Am. 23 1179

    [12]

    Abbey B, Williams G J, Pfeifer M A, Clark J N, Putkunz C T, Torrance A, McNulty I, Levin T M, Peele A G, Nugent K A 2008 Appl. Phys. Lett. 93 214101

    [13]

    Thibault P, Elser V, Jacobsen C, Shapiro D, Sayre D 2006 Acta Cryst. 62 248

    [14]

    Hau-Riege S P, London R A, Szoke A 2004 Phys. Rev. E 69 051906

    [15]

    Hau-Riege S P, Chapman H N, Krzywinski J, Sobierajski R, Bajt S, London R A, Bergh M, Caleman C, Nietubyc R, Juha L, Kuba J, Spiller E, Baker S, Bionta R, Tinten K S, Stojanovic N, Kjornrattanawanich B, Gullikson E, Plnjes E, Toleikis S, Tschentscher T 2007 Phys. Rev. Lett. 98 145502

    [16]

    Raines K S, Sara S, Richard L S, Jiang H D, Jose A R, Benjamin P F, Henry C K, Du J C, Miao J W 2009 Nature 463 214

    [17]

    Gerchberg R W, Saxton W O 1972 Optik 35 237

    [18]

    Henke B L, Gullikson E M, Davis J C 1993 At. Data Nucl. Data Tables 54 181

    [19]

    Miao J W, Sayre D, Chapman H N 1998 J. Opt. Soc. Am. A 15 1662

  • [1] Zhang Yang, Zhang Zhi-Hao, Wang Yu-Jian, Xue Xiao-Lan, Chen Ling-Xiu, Shi Li-Wei. Polarization modulation scanning optical microscopy method. Acta Physica Sinica, 2024, 73(15): 157801. doi: 10.7498/aps.73.20240688
    [2] Pan Xin-Yu, Bi Xiao-Xue, Dong Zheng, Geng Zhi, Xu Han, Zhang Yi, Dong Yu-Hui, Zhang Cheng-Long. Review of development for ptychography algorithm. Acta Physica Sinica, 2023, 72(5): 054202. doi: 10.7498/aps.72.20221889
    [3] Wei Qian-Yi, Ni Jie-Lei, Li Ling, Zhang Yu-Quan, Yuan Xiao-Cong, Min Chang-Jun. Research progress of ultra-high spatiotemporally resolved microscopy. Acta Physica Sinica, 2023, 72(17): 178701. doi: 10.7498/aps.72.20230733
    [4] Zhang Hai-Peng, Zhao Chang-Zhe, Ju Xiao-Lu, Tang Jie, Xiao Ti-Qiao. Improving quality of crystal diffraction based X-ray ghost imaging through iterative reconstruction algorithm. Acta Physica Sinica, 2022, 71(7): 074201. doi: 10.7498/aps.71.20211978
    [5] Ma Yong-Jun, Li Rui-Xuan, Li Kui, Zhang Guang-Yin, Niu Jin, Ma Yun-Feng, Ke Chang-Jun, Bao Jie, Chen Ying-Shuang, Lü Chun, Li Jie, Fan Zhong-Wei, Zhang Xiao-Shi. Three-dimensional nano-coherent diffraction imaging technology based on high order harmonic X-ray sources. Acta Physica Sinica, 2022, 71(16): 164205. doi: 10.7498/aps.71.20220976
    [6] Wu Di, Jiang Zi-Zhen, Yu Huan-Huan, Zhang Chen-Shuang, Zhang Jiao, Lin Dan-Ying, Yu Bin, Qu Jun-Le. Quantitative phase microscopy imaging based on fractional spiral phase plate. Acta Physica Sinica, 2021, 70(15): 158702. doi: 10.7498/aps.70.20201884
    [7] Xu Wen-Hui, Ning Shou-Cong, Zhang Fu-Cai. Review of partially coherent diffraction imaging. Acta Physica Sinica, 2021, 70(21): 214201. doi: 10.7498/aps.70.20211020
    [8] Zhou Guang-Zhao, Hu Zhe, Yang Shu-Min, Liao Ke-Liang, Zhou Ping, Liu Ke, Hua Wen-Qiang, Wang Yu-Zhu, Bian Feng-Gang, Wang Jie. Preliminary exploration of hard X-ray coherent diffraction imaging method at SSRF. Acta Physica Sinica, 2020, 69(3): 034102. doi: 10.7498/aps.69.20191586
    [9] Zhou Yao-Zhi, Li Chun, Li Chen-Yang, Li Qing-Lian. Prediction of liquid jet trajectory in supersonic crossflow and continuous liquid column model. Acta Physica Sinica, 2020, 69(23): 234702. doi: 10.7498/aps.69.20200903
    [10] Zhang Yi-Yi, Wu Jia-Chen, Hao Ran, Jin Shang-Zhong, Cao Liang-Cai. Digital holographic microscopy for red blood cell imaging. Acta Physica Sinica, 2020, 69(16): 164201. doi: 10.7498/aps.69.20200357
    [11] Wang Jian-Guo, Yang Song-Lin, Ye Yong-Hong. Effect of silver film roughness on imaging property of BaTiO3 microsphere. Acta Physica Sinica, 2018, 67(21): 214209. doi: 10.7498/aps.67.20180823
    [12] Qi Jun-Cheng, Chen Rong-Chang, Liu Bin, Chen Ping, Du Guo-Hao, Xiao Ti-Qiao. Grating based X-ray phase contrast CT imaging with iterative reconstruction algorithm. Acta Physica Sinica, 2017, 66(5): 054202. doi: 10.7498/aps.66.054202
    [13] Liu Shuang-Long, Liu Wei, Chen Dan-Ni, Qu Jun-Le, Niu Han-Ben. Research on coherent anti-Stokes Raman scattering microscopy. Acta Physica Sinica, 2016, 65(6): 064204. doi: 10.7498/aps.65.064204
    [14] Cao Bei, Luo Xiu-Juan, Si Qing-Dan, Zeng Zhi-Hong. Four-phase closure algorithm for coherent field imaging. Acta Physica Sinica, 2015, 64(5): 054204. doi: 10.7498/aps.64.054204
    [15] Wang Zhi-Hao, Wang Ya-Li, Li Tuo, Shi Yi-Shi. Ptychographical imaging algorithm based on illuminating beam matched with rotationalphase encoding. Acta Physica Sinica, 2014, 63(16): 164204. doi: 10.7498/aps.63.164204
    [16] Liu Hai-Gang, Xu Zi-Jian, Zhang Xiang-Zhi, Guo Zhi, Tai Ren-Zhong. Influence of central beamstop on ptychographic coherent diffractive imaging. Acta Physica Sinica, 2013, 62(15): 150702. doi: 10.7498/aps.62.150702
    [17] Liu Cheng, Pan Xing-Chen, Zhu Jian-Qiang. Coherent diffractive imaging based on the multiple beam illumination with cross grating. Acta Physica Sinica, 2013, 62(18): 184204. doi: 10.7498/aps.62.184204
    [18] Wang Shu-Ying, Zhang Hai-Jun, Zhang Dong-Xian. Location-free optical microscopic imaging method with high-resolution based on microsphere superlenses. Acta Physica Sinica, 2013, 62(3): 034207. doi: 10.7498/aps.62.034207
    [19] Fan Jia-Dong, Jiang Huai-Dong. Coherent X-ray diffraction imaging and its applications in materials science and biology. Acta Physica Sinica, 2012, 61(21): 218702. doi: 10.7498/aps.61.218702
    [20] Zhou Guang-Zhao, Wang Yu-Dan, Ren Yu-Qi, Chen Can, Ye Lin-Lin, Xiao Ti-Qiao. Digital simulation for 3D reconstruction of coherent x-ray diffractive imaging. Acta Physica Sinica, 2012, 61(1): 018701. doi: 10.7498/aps.61.018701
Metrics
  • Abstract views:  11662
  • PDF Downloads:  1159
  • Cited By: 0
Publishing process
  • Published Online:  05 January 2011

/

返回文章
返回