[1] [1] H. F. Talbot. Facts relating to optical science［J］. Phil. Mag., 1836, 9(5): 401～407

[2] [2] A. Momose, S. Kawamoto, I. Koyama et al.. Demonstration of X-ray Talbot interferometry［J］. Jpn. J. Appl. Phys., 2003, 42(7): 866～868

[3] [3] A. Momose, W. Yashiro, Y. Takeda et al.. Phase tomography by X-ray Talbot interferometry for biological imaging［J］. Jpn. J. Appl. Phys., 2006, 45(6): 5254～5262

[4] [4] M. Engelhardt, C. Kottler, O. Bunk et al.. The fractional Talbot effect in differential X-ray phase-contrast imaging for extended and polychtromatic X-ray sources［J］. J.Microscopy, 2008, 232(1): 145～157

[5] [5] Huang Jianheng, Lin Danying, Liu Zhenwei et al.. Analysis and simulation of mid-energy X-ray grating phase contrast microscopy imaging［J］. Acta Optica Sinica, 2011, 31(10): 1034001

[6] [6] Liu Xiaosong, Li Enrong, Zhu Peiping et al.. Comparative analysis of phase extraction methods based on phase-stepping and shifting curve in grating interferometry［J］. Chin. Phys. B, 2010, 19(4): 040701

[7] [7] T. Weitkamp, B. Nhammer, A. Diaz et al.. X-ray wavefront analysis and optics characterization with a grating interferometer［J］. Appl. Phys. Lett., 2005, 86(5): 054101

[8] [8] F. Pfeiffer, O. Bunk, C. Schulze-Briese et al.. Shearing interferometer for quantifying the coherence of hard X-ray beams［J］. Phys. Rev. Lett.. 2005, 94(16): 164801

[9] [9] T. Salditt, S. Kalbfleisch, M. Osterhoff et al.. Partially coherent nano-focused X-ray radiation characterized by Talbot interferometry［J］. Opt. Express, 2011, 19(10): 9656～9675

[10] [10] J. P. Guigay, S. Zabler, P. Cloetens et al.. The partial Talbot effect and its use in measuring the coherence of synchrotron X-rays［J］. J. Synchrotron. Rad., 2004, 11: 476～482

[11] [11] P. Cloetens, J. P. Guigay, C. D. Martino et al.. Fractional Talbot imaging of phase gratings with hard X-rays ［J］. Opt. Lett., 1997, 22(14): 1059～1061

[12] [12] I. A. Vartanyants, I. K. Robinson. Origins of decoherence in coherent X-ray diffraction experiments［J］. Opt. Commun., 2003, 222(1-6): 29～50

[13] [13] C. M. Kewish, L. Assoufid, A. T. Acrander et al.. Wave-optical simulation of hard-X-ray nanofocusing by precisely figured elliptical mirrors［J］. Appl. Opt., 2007, 46(11): 2010～2021

[14] [14] C. M. Kewish, A. T. Macrander, L. Assoufid et al.. Comparison of two methods for simulation of hard X-ray nanofocusing by elliptical mirrors［J］. Nucl. Instrum. Meth. A, 2007, 582(1): 138～141

[15] [15] K. Fezzaa, F. Comin, S. Marchesini et al.. X-ray interferometry at ESRF using two coherent beams from Fresnel mirrors［J］. J. X-Ray Sci. Technol., 1997, 7(1): 12～23

[16] [16] D. Pelliccia, A. Y. Nikulin, H. O. Moser et al.. Experimental characterization of the coherence properties of hard X-ray sources［J］. Opt. Express, 2011, 19(9): 8073～8078

[17] [17] I. A. Vartanyants, A. P. Mancuso, A. Singer et al.. Coherence measurements and coherent diffractive imaging at FLASH［J］. J. Phys. B: At. Mol. Opt. Phys., 2010, 43(19): 194016

[18] [18] Wang Hua, Yan Shuai, Yan Fen et al.. Research on spatial coherence of undulator source in Shanghai Synchrotron Radiation Facility［J］. Acta Physica Sinica, 2012, 61(14): 144102

[19] [19] Zhu Peiping, Tang Esheng, Cui Mingqi et al.. Analyses of spatial coherence of X-ray beam from the synchrotron radiation［J］. Acta Optica Sinica, 1998, 18(2): 176～181

[20] [20] Tang Esheng, Zhu Peiping, Cui Mingqi et al.. Coherence mode of synchrotron radiation ［J］. Acta Optica Sinica, 1998, 18(12): 1640～1645

[21] [21] I. A. Vartanyants, A. Singer. Coherence properties of hard X-ray synchrotron sources and X-ray free-electron lasers［J］. New J. Phys., 2010, 12(3): 035004

[22] [22] R. Cosson, S. Marchesini. Gauss-Schell sources as models for synchrotron radiation［J］. J. Synchrotron Radiat., 1997, 4(5): 263～266

[23] [23] S. Flewett, H. M. Quiney, C. Q. Tran et al.. Extracting coherent modes from partially coherent wave fields［J］. Opt. Lett., 2009, 34(14): 2198～2200

[24] [24] M. Idir, M. Cywiak, A. Morales et al.. X-ray optics simulation using Gaussian superposition technique［J］. Opt. Express, 2011,19(20): 19050～19060

[25] [25] M. Born, E. Wolf. Principles of Optics［M］. Yang Jiasun Transl.. Beijing: Science Press, 1978. 459～506

[26] [26] L. Mandel, E. Wolf. Optical Coherence and Quantum Optics［M］. Cambridge: Cambridge University Press, 1995. 259～263

[27] [27] F. Gori. Mode propagation of the field generated by Collett-Wolf Schell-model sources［J］. Opt. Commun., 1983, 46(3-4): 149～154

[28] [28] Chen Bo, Zhu Peping, Liu Yijin et al.. Theory and method of X-ray grating phase contrast imaging［J］. Acta Physica Sinica, 2008, 57(3): 1576～1581

[29] [29] I. K. Robinson, C. A. Kenney-Benson, I. A. Vartaniants. Sources of decoherence in beamline optics［J］. Physica B, 2003, 336(1-2): 56～62

[30] [30] K. A. Nugent, C. Q. Tran, A. Roberts. Coherence transport through imperfect X-ray optical systems［J］. Opt. Express, 2003, 11(9): 2323～2328

[31] [31] Zhou Tongjun, Teng Shuyun. The influence of size of the grating on the Talbot effect［J］. J. Shandong Normal University, 2007, 22(3): 50～52

[32] [32] Fang Jingyue, Qin Shiqiao, Wang Xingshu et al.. Fresnel diffraction of the limited-size Ronchi grating［J］. Infrared and Laser Engineering, 39(5): 848～852

[33] [33] Teng Shuyun, Liu Liren, Liu Dean et al.. Fresnel diffraction of the grating illuminated by partially coherent light［J］. Acta Optica Sinica, 2004, 24(5): 692～695