[1] Bonse U, Hart M. An X-ray interferometer[J]. Applied Physics Letters, 6, 155-156(1965).

[2] Davis T J, Gao D, Gureyev T E et al. Phase-contrast imaging of weakly absorbing materials using hard X-rays[J]. Nature, 373, 595-598(1995).

[3] Wilkins S W, Gureyev T E, Gao D et al. Phase-contrast imaging using polychromatic hard X-rays[J]. Nature, 384, 335-338(1996).

[4] David C, Nöhammer B, Solak H H et al. Differential X-ray phase contrast imaging using a shearing interferometer[J]. Applied Physics Letters, 81, 3287-3289(2002).

[5] Huang J H, Lin D Y, Liu Z W et al. Analysis and simulation of mid-energy X-ray grating phase contrast microscopy imaging[J]. Acta Optica Sinica, 31, 1034001(2011).

[6] Qi J C, Ren Y Q, Du G H et al. Multiple contrast micro-computed tomography system based on X-ray grating imaging[J]. Acta Optica Sinica, 33, 1034001(2013).

[7] Xiao T Q, Xie H L, Deng B et al. Progresses of X-Ray imaging methodology and its applications at shanghai synchrotron radiation facility[J]. Acta Optica Sinica, 34, 0100001(2014).

[8] Pfeiffer F, Weitkamp T, Bunk O et al. Phase retrieval and differential phase-contrast imaging with low-brilliance X-ray sources[J]. Nature Physics, 2, 258-261(2006).

[9] Pfeiffer F, Bech M, Bunk O et al. Hard-X-ray dark-field imaging using a grating interfero-meter[J]. Nature Materials, 7, 134-137(2008).

[10] Momose A, Kawamoto S, Koyama I et al. Demonstration of X-Ray Talbot interferometry[J]. Japanese Journal of Applied Physics, 42, 866-868(2003).

[11] Weitkamp T, Diaz A, David C et al. X-ray phase imaging with a grating interferometer[J]. Optics Express, 13, 6296-6304(2005).

[12] Wen H, Bennett E E, Hegedus M M et al. Fourier X-ray scattering radiography yields bone structural information[J]. Radiology, 251, 910-918(2009).

[13] Wen H H, Bennett E E, Kopace R et al. Single-shot X-ray differential phase-contrast and diffraction imaging using two-dimensional transmission gratings[J]. Optics Letters, 35, 1932(2010).

[14] Park Y, Woo T, Cho H et al. Detection analysis of phase-contrast X-ray imaging (PCXI) with single grid for nano-scopic applications[J]. Optik, 127, 562-566(2016).

[15] Lee H W, Lim H W, Jeon D H et al. Eliminating artifacts in single-grid phase-contrast X-ray imaging for improving image quality[J]. Computers in Biology and Medicine, 97, 74-82(2018).

[16] Lim H W, Lee H W, Cho H S et al. Simulation of single grid-based phase-contrast X-ray imaging (g-PCXI)[J]. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 850, 89-98(2017).

[17] Lim H, Park Y, Cho H et al. Experimental setup and the system performance for single-grid-based phase-contrast X-ray imaging (PCXI) with a microfocus X-ray tube[J]. Optics Communications, 348, 85-89(2015).

[18] Cloud G. Optical methods in experimental mechanics. Part 18: Geometric Moiré phenomena and simulations[J]. Experimental Techniques, 29, 15-18(2005).

[19] Wang J, Huang H K. Film digitization aliasing artifacts caused by grid line patterns[J]. IEEE Transactions on Medical Imaging, 13, 375-385(1994).