Quantitative Calculation of Fringe Visibility in Bismuth Grating-Based X-Ray Phase-Contrast Imaging

Huang Jianheng1,2 Lei Yaohu1 Du Yang1 Liu Xin1 Guo Jinchuan1 Li Ji1 Guo Baoping1

(1.Key Laboratory of Optoelectronic Devices and Systems, Ministry of Education and Guangdong Province, College of Optoelectronic Engineering, Shenzhen University, Shenzhen, Guangdong, China 518060)
(2.College of Information Engineering, Shenzhen University, Shenzhen, Guangdong, China 518060)

【Abstract】Absorption gratings are the key devices in grating-based X-ray phase-contrast imaging (XPCI). The low cost and fitness for the fabrication in general laboratories make bismuth absorption grating favored. A calculating method for fringe visibility in bismuth grating-based XPCI is proposed, and the moire fringe visibilities of bismuth absorption gratings with different thicknesses are calculated through modeling. Results show that fringe visibility increases with the increasing thickness of bismuth structure. The fringe visibility for π phase grating can reach 48% under the 40 kV tube voltage, but only 22% under 60 kV, when the thicknesses of bismuth structure in source gratings and analyzer gratings are 150 μm and 110 μm, respectively. Furthermore, when the bismuth structure thicknesses of the two absorption gratings are equivalent, fringe visibilities are obtained by use of the π phase and π/2 phase gratings, respectively. Their quantitative comparison shows that the result of employing π/2 phase grating is slightly better than that of π phase grating. The quantitative calculation of fringe visibility will be beneficial to the design of grating-based XPCI system, which may promote the practicality of this technology.

【Keywords】 X-ray optics; X-ray phase-contrast imaging; fringe visibility; numerical calculation; bismuth absorption grating;

【DOI】

【Funds】 National Special Fund for Development of Major Scientific Research Instrument and Equipment (61227802) Young Scientists Fund of the National Natural Science Foundation of China (61605119, 61405120, 11404221) General Program of China Postdoctoral Science Foundation (2016M592529)

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    References

    [1] Henke B L, Gullikson E M, Davis J C, et al. X-ray interactions: photoabsorption, scattering, transmission, and reflection at E = 50 − 30,000 eV, Z = 1 − 92 [J]. Atomic Data and Nuclear Data Tables, 1993, 54 (2): 181–342.

    [2] Momose A. Demonstration of phase-contrast X-ray computed tomography using an X-ray interferometer [J]. Nuclear Instruments and Methods in Physics Research A, 1995, 352 (3): 622–628.

    [3] Bonse U, Hart M. An X-ray interferometer [J]. Applied Physics Letters, 1965, 6 (8): 155–156.

    [4] Davis T J, Gao D, Gureyev T E, et al. Phase-contrast imaging of weakly absorbing materials using hard X-rays [J]. Nature, 1995, 373 (6515): 595–598.

    [5] Wilkins S W, Gureyev T E, Gao D, et al. Phase-contrast imaging using polychromatic hard X-rays [J]. Nature, 1996, 384 (6607): 335–338.

    [6] David C, N9hammer B, Solak H H, et al. Differential X-ray phase contrast imaging using a shearing interferometer [J]. Applied Physics Letters, 2002, 81 (17): 3287–3289.

    [7] Pfeiffer F, Weitkamp T, Bunk O, et al. Phase retrieval and differential phase-contrast imaging with low-brilliance X-ray sources [J]. Nature Physics, 2006, 2 (4): 258–261.

    [8] Pfeiffer F, Bech M, Bunk O, et al. Hard X-ray dark-field imaging using agrating interferometer [J]. Nature Materials, 2008, 7 (2): 134–137.

    [9] Stampanoni M, Wang Z, Thüring T, et al. The first analysis and clinical evaluation of native breast tissue using differential phase-contrast mammography [J]. Investigative Radiology, 2011, 46 (12): 801–806.

    [10] Momose A, Yashiro W, Kido K, et al. X-ray phase imaging: from synchrotron to hospital [J]. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2014, 372 (2010): 20130023.

    [11] Du Y, Liu X, Lei Y, et al. Non-absorption grating approach for X-ray phase contrast imaging [J]. Optics Express, 2011, 19 (23): 22669–22674.

    [12] Qi Jun cheng, Ren Yuqi, Du Guohao, et al. Multiple contrast micro-computed tomography system based on X-ray grating imaging [J]. Acta Optica Sinica, 2013, 33 (10): 1034001 (in Chinese).

    [13] Li Xinbin, Chen Zhiqiang, Zhang Li, et al. The status and development prospect of the diagnosis of breast cancer based on grating-based X-ray phase-contrast imaging [J]. Chinese Journal of Stereology and Image Analysis, 2015, 20 (4): 305–318 (in Chinese).

    [14] Du Yang, Liu Xin, Lei Yaohu, et al. Low cost and high efficiency method for X-ray phase contrast imaging [J]. Acta Optica Sinica, 2016, 36 (3): 0334001 (in Chinese).

    [15] Wang S, Margie P O, Atsushi M, et al. Experimental research on the feature of an X-ray Talbot-Lau interferometer vs. tube accelerating voltage [J]. Chinese Physics B, 2015, 24 (6): 068703.

    [16] Donath T, Pfeiffer F, Bunk O, et al. Phase-contrast imaging and tomography at 60 keV using a conventional X-ray tube source [J]. Review of Scientific Instruments, 2009, 80 (5): 053701.

    [17] David C, Bruder J, Rohbeck T, et al. Fabrication of diffraction gratings for hard X-ray phase contrast imaging [J]. Microelectronic Engineering, 2007, 84 (5–8): 1172–1177.

    [18] Matsumoto M, Takiguchi K, Tanaka M, et al. Fabrication of diffraction grating for X-ray Talbot interferometer [J]. Microsystem Technologies, 2007, 13 (5): 543–546.

    [19] Rutishauser S, Bednarzik M, Zanette I, et al. Fabrication of two dimensional hard X-ray diffraction gratings [J]. Microelectronic Engineering, 2013, 101: 12–16.

    [20] Lei Y, Du Y, Li J, et al. Application of Bi absorption gratings in grating-based X-ray phase contrast imaging [J]. Applied Physics Express, 2013, 6 (11): 117301.

    [21] Lei Y, Du Y, Li J, et al. Fabrication of X-ray absorption gratings via micro-casting for grating-based phase contrast imaging [J]. Journal of Micromechanics and Microengineering, 2014, 24 (1): 015007.

    [22] Revol V, Kottler C, Kaufmann R, et al. Noise analysis of grating-based X-ray differential phase contrast imaging [J]. Review of Scientific Instruments, 2010, 81 (7): 073709.

    [23] Modregger P, Pinzer B R, Thüring T, et al. Sensitivity of X-ray grating interferometry [J]. Optics Express, 2011, 19 (19): 18324–18338.

    [24] Huang Jianheng, Du Yang, Lei Yaohu, et al. Noise analysis of hard X-ray differential phase contrast imaging [J]. Acta Physica Sinica, 2014, 63 (16): 168702 (in Chinese).

    [25] Boone J M, Seibert J A. An accurate method for computer-generating tungsten anode X-ray spectra from 30 to 140 kV [J]. Medical Physics, 1997, 24 (11): 1661–1670.

This Article

ISSN:0253-2239

CN: 31-1252/O4

Vol 37, No. 04, Pages 384-390

April 2017

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Article Outline

Abstract

  • 1 Introduction
  • 2 Imaging principle
  • 3 Design of imaging system
  • 4 Result analysis and discussion
  • 5 Conclusion
  • References