Abstract

X-ray Talbot interferometry, which uses two transmission gratings, has the advantage that broad energy bandwidth x-rays can be used. We demonstrate the use of white synchrotron radiation for high-speed X-ray phase imaging and tomography in combination with an X-ray Talbot interferometer. The moiré fringe visibility over 20% was attained, enabling quantitative phase measurement. X-ray phase images with a frame rate of 500 f/s and an X-ray phase tomogram with a scan time of 0.5 s were obtained successfully. This result suggests a breakthrough for time-resolved three-dimensional observation of objects that weakly absorb X-rays, such as soft material and biological objects.

© 2009 Optical Society of America

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References

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  1. R. Fitzgerald, “Phase-sensitive X-ray imaging,” Phys. Today 53(7), 23–26 (2000).
    [Crossref]
  2. A. Momose, “Phase-sensitive imaging and phase tomography using X-ray interferometers,” Opt. Express 11, 2303–2314 (2003).
    [Crossref] [PubMed]
  3. A. Momose, “Recent advances in X-ray phase imaging,” Jpn. J. Appl. Phys. 446355–6367 (2005).
    [Crossref]
  4. A. Momose, “Demonstration of phase-contrast X-ray computed tomography using an X-ray interferometer,” Photon Factory Activity Report 11, 186 (1993).
  5. A. Momose, “Demonstration of phase-contrast X-ray computed tomography using an X-ray interferometer,” Nucl. Instrum. Methods Phys. Res. Sect. A 352622–628 (1995).
    [Crossref]
  6. T. J. Davis, D. Gao, T. E. Gureyev, A. W. Stevenson, and S. W. Wilkins, “Phase-contrast X-ray imaging of weakly absorbing materials with hard X-rays,” Nature 373, 595–598 (1995).
    [Crossref]
  7. A. Snigirev, I. Snigireva, V. Kohn, S. Kuznetsov, and I. Schelokov, “On the possibilities of X-ray phase contrast microimaging by coherent high-energy synchrotron radiation,” Rev. Sci. Instrum. 66, 5486–5492 (1995).
    [Crossref]
  8. Y. Wang, X. Liu, K. S. Im, W. K. Lee, J. Wang, and K. Fezzaa, “Ultrafast X-ray study of dense-liquid-jet flow dynamics using structure-tracking velosimetry,” Nat. Phys. 4, 305–309 (2008)
    [Crossref]
  9. A. Momose, S. Kawamoto, I. Koyama, Y. Hamaishi, K. Takai, and Y. Suzuki, “Demonstration of X-ray Talbot interferometry,” Jpn. J. Appl. Phys. 42, L866–L868 (2003).
    [Crossref]
  10. T. Weitkamp, B. Nöhammer, A. Diaz, and C. David, “X-ray wavefront analysis and optics characterization with a grating interferometer,” Appl. Phys. Lett. 86, 054101 (2005).
    [Crossref]
  11. A. Momose, W. Yashiro, Y. Takeda, Y. Suzuki, and T. Hattori, “Phase tomography by X-ray Talbot interferometry for biological imaging,” Jpn. J. Appl. Phys. 45, 5254–5262 (2006).
    [Crossref]
  12. M. Takeda, H. Ina, and S. Kobayashi, “Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry,” J. Opt. Soc. Am. 72, 156–160 (1982).
    [Crossref]
  13. M. Matsumoto, K. Takiguchi, M. Tanaka, Y. Hunabiki, H. Takeda, A. Momose, Y. Utsumi, and T Hattori, “Fabrication of diffraction grating for X-ray Talbot interferometer,” Microsyst. Technol. 13, 543–546 (2007).
    [Crossref]

2008 (1)

Y. Wang, X. Liu, K. S. Im, W. K. Lee, J. Wang, and K. Fezzaa, “Ultrafast X-ray study of dense-liquid-jet flow dynamics using structure-tracking velosimetry,” Nat. Phys. 4, 305–309 (2008)
[Crossref]

2007 (1)

M. Matsumoto, K. Takiguchi, M. Tanaka, Y. Hunabiki, H. Takeda, A. Momose, Y. Utsumi, and T Hattori, “Fabrication of diffraction grating for X-ray Talbot interferometer,” Microsyst. Technol. 13, 543–546 (2007).
[Crossref]

2006 (1)

A. Momose, W. Yashiro, Y. Takeda, Y. Suzuki, and T. Hattori, “Phase tomography by X-ray Talbot interferometry for biological imaging,” Jpn. J. Appl. Phys. 45, 5254–5262 (2006).
[Crossref]

2005 (2)

T. Weitkamp, B. Nöhammer, A. Diaz, and C. David, “X-ray wavefront analysis and optics characterization with a grating interferometer,” Appl. Phys. Lett. 86, 054101 (2005).
[Crossref]

A. Momose, “Recent advances in X-ray phase imaging,” Jpn. J. Appl. Phys. 446355–6367 (2005).
[Crossref]

2003 (2)

A. Momose, “Phase-sensitive imaging and phase tomography using X-ray interferometers,” Opt. Express 11, 2303–2314 (2003).
[Crossref] [PubMed]

A. Momose, S. Kawamoto, I. Koyama, Y. Hamaishi, K. Takai, and Y. Suzuki, “Demonstration of X-ray Talbot interferometry,” Jpn. J. Appl. Phys. 42, L866–L868 (2003).
[Crossref]

2000 (1)

R. Fitzgerald, “Phase-sensitive X-ray imaging,” Phys. Today 53(7), 23–26 (2000).
[Crossref]

1995 (3)

A. Momose, “Demonstration of phase-contrast X-ray computed tomography using an X-ray interferometer,” Nucl. Instrum. Methods Phys. Res. Sect. A 352622–628 (1995).
[Crossref]

T. J. Davis, D. Gao, T. E. Gureyev, A. W. Stevenson, and S. W. Wilkins, “Phase-contrast X-ray imaging of weakly absorbing materials with hard X-rays,” Nature 373, 595–598 (1995).
[Crossref]

A. Snigirev, I. Snigireva, V. Kohn, S. Kuznetsov, and I. Schelokov, “On the possibilities of X-ray phase contrast microimaging by coherent high-energy synchrotron radiation,” Rev. Sci. Instrum. 66, 5486–5492 (1995).
[Crossref]

1993 (1)

A. Momose, “Demonstration of phase-contrast X-ray computed tomography using an X-ray interferometer,” Photon Factory Activity Report 11, 186 (1993).

1982 (1)

David, C.

T. Weitkamp, B. Nöhammer, A. Diaz, and C. David, “X-ray wavefront analysis and optics characterization with a grating interferometer,” Appl. Phys. Lett. 86, 054101 (2005).
[Crossref]

Davis, T. J.

T. J. Davis, D. Gao, T. E. Gureyev, A. W. Stevenson, and S. W. Wilkins, “Phase-contrast X-ray imaging of weakly absorbing materials with hard X-rays,” Nature 373, 595–598 (1995).
[Crossref]

Diaz, A.

T. Weitkamp, B. Nöhammer, A. Diaz, and C. David, “X-ray wavefront analysis and optics characterization with a grating interferometer,” Appl. Phys. Lett. 86, 054101 (2005).
[Crossref]

Fezzaa, K.

Y. Wang, X. Liu, K. S. Im, W. K. Lee, J. Wang, and K. Fezzaa, “Ultrafast X-ray study of dense-liquid-jet flow dynamics using structure-tracking velosimetry,” Nat. Phys. 4, 305–309 (2008)
[Crossref]

Fitzgerald, R.

R. Fitzgerald, “Phase-sensitive X-ray imaging,” Phys. Today 53(7), 23–26 (2000).
[Crossref]

Gao, D.

T. J. Davis, D. Gao, T. E. Gureyev, A. W. Stevenson, and S. W. Wilkins, “Phase-contrast X-ray imaging of weakly absorbing materials with hard X-rays,” Nature 373, 595–598 (1995).
[Crossref]

Gureyev, T. E.

T. J. Davis, D. Gao, T. E. Gureyev, A. W. Stevenson, and S. W. Wilkins, “Phase-contrast X-ray imaging of weakly absorbing materials with hard X-rays,” Nature 373, 595–598 (1995).
[Crossref]

Hamaishi, Y.

A. Momose, S. Kawamoto, I. Koyama, Y. Hamaishi, K. Takai, and Y. Suzuki, “Demonstration of X-ray Talbot interferometry,” Jpn. J. Appl. Phys. 42, L866–L868 (2003).
[Crossref]

Hattori, T

M. Matsumoto, K. Takiguchi, M. Tanaka, Y. Hunabiki, H. Takeda, A. Momose, Y. Utsumi, and T Hattori, “Fabrication of diffraction grating for X-ray Talbot interferometer,” Microsyst. Technol. 13, 543–546 (2007).
[Crossref]

Hattori, T.

A. Momose, W. Yashiro, Y. Takeda, Y. Suzuki, and T. Hattori, “Phase tomography by X-ray Talbot interferometry for biological imaging,” Jpn. J. Appl. Phys. 45, 5254–5262 (2006).
[Crossref]

Hunabiki, Y.

M. Matsumoto, K. Takiguchi, M. Tanaka, Y. Hunabiki, H. Takeda, A. Momose, Y. Utsumi, and T Hattori, “Fabrication of diffraction grating for X-ray Talbot interferometer,” Microsyst. Technol. 13, 543–546 (2007).
[Crossref]

Im, K. S.

Y. Wang, X. Liu, K. S. Im, W. K. Lee, J. Wang, and K. Fezzaa, “Ultrafast X-ray study of dense-liquid-jet flow dynamics using structure-tracking velosimetry,” Nat. Phys. 4, 305–309 (2008)
[Crossref]

Ina, H.

Kawamoto, S.

A. Momose, S. Kawamoto, I. Koyama, Y. Hamaishi, K. Takai, and Y. Suzuki, “Demonstration of X-ray Talbot interferometry,” Jpn. J. Appl. Phys. 42, L866–L868 (2003).
[Crossref]

Kobayashi, S.

Kohn, V.

A. Snigirev, I. Snigireva, V. Kohn, S. Kuznetsov, and I. Schelokov, “On the possibilities of X-ray phase contrast microimaging by coherent high-energy synchrotron radiation,” Rev. Sci. Instrum. 66, 5486–5492 (1995).
[Crossref]

Koyama, I.

A. Momose, S. Kawamoto, I. Koyama, Y. Hamaishi, K. Takai, and Y. Suzuki, “Demonstration of X-ray Talbot interferometry,” Jpn. J. Appl. Phys. 42, L866–L868 (2003).
[Crossref]

Kuznetsov, S.

A. Snigirev, I. Snigireva, V. Kohn, S. Kuznetsov, and I. Schelokov, “On the possibilities of X-ray phase contrast microimaging by coherent high-energy synchrotron radiation,” Rev. Sci. Instrum. 66, 5486–5492 (1995).
[Crossref]

Lee, W. K.

Y. Wang, X. Liu, K. S. Im, W. K. Lee, J. Wang, and K. Fezzaa, “Ultrafast X-ray study of dense-liquid-jet flow dynamics using structure-tracking velosimetry,” Nat. Phys. 4, 305–309 (2008)
[Crossref]

Liu, X.

Y. Wang, X. Liu, K. S. Im, W. K. Lee, J. Wang, and K. Fezzaa, “Ultrafast X-ray study of dense-liquid-jet flow dynamics using structure-tracking velosimetry,” Nat. Phys. 4, 305–309 (2008)
[Crossref]

Matsumoto, M.

M. Matsumoto, K. Takiguchi, M. Tanaka, Y. Hunabiki, H. Takeda, A. Momose, Y. Utsumi, and T Hattori, “Fabrication of diffraction grating for X-ray Talbot interferometer,” Microsyst. Technol. 13, 543–546 (2007).
[Crossref]

Momose, A.

M. Matsumoto, K. Takiguchi, M. Tanaka, Y. Hunabiki, H. Takeda, A. Momose, Y. Utsumi, and T Hattori, “Fabrication of diffraction grating for X-ray Talbot interferometer,” Microsyst. Technol. 13, 543–546 (2007).
[Crossref]

A. Momose, W. Yashiro, Y. Takeda, Y. Suzuki, and T. Hattori, “Phase tomography by X-ray Talbot interferometry for biological imaging,” Jpn. J. Appl. Phys. 45, 5254–5262 (2006).
[Crossref]

A. Momose, “Recent advances in X-ray phase imaging,” Jpn. J. Appl. Phys. 446355–6367 (2005).
[Crossref]

A. Momose, “Phase-sensitive imaging and phase tomography using X-ray interferometers,” Opt. Express 11, 2303–2314 (2003).
[Crossref] [PubMed]

A. Momose, S. Kawamoto, I. Koyama, Y. Hamaishi, K. Takai, and Y. Suzuki, “Demonstration of X-ray Talbot interferometry,” Jpn. J. Appl. Phys. 42, L866–L868 (2003).
[Crossref]

A. Momose, “Demonstration of phase-contrast X-ray computed tomography using an X-ray interferometer,” Nucl. Instrum. Methods Phys. Res. Sect. A 352622–628 (1995).
[Crossref]

A. Momose, “Demonstration of phase-contrast X-ray computed tomography using an X-ray interferometer,” Photon Factory Activity Report 11, 186 (1993).

Nöhammer, B.

T. Weitkamp, B. Nöhammer, A. Diaz, and C. David, “X-ray wavefront analysis and optics characterization with a grating interferometer,” Appl. Phys. Lett. 86, 054101 (2005).
[Crossref]

Schelokov, I.

A. Snigirev, I. Snigireva, V. Kohn, S. Kuznetsov, and I. Schelokov, “On the possibilities of X-ray phase contrast microimaging by coherent high-energy synchrotron radiation,” Rev. Sci. Instrum. 66, 5486–5492 (1995).
[Crossref]

Snigirev, A.

A. Snigirev, I. Snigireva, V. Kohn, S. Kuznetsov, and I. Schelokov, “On the possibilities of X-ray phase contrast microimaging by coherent high-energy synchrotron radiation,” Rev. Sci. Instrum. 66, 5486–5492 (1995).
[Crossref]

Snigireva, I.

A. Snigirev, I. Snigireva, V. Kohn, S. Kuznetsov, and I. Schelokov, “On the possibilities of X-ray phase contrast microimaging by coherent high-energy synchrotron radiation,” Rev. Sci. Instrum. 66, 5486–5492 (1995).
[Crossref]

Stevenson, A. W.

T. J. Davis, D. Gao, T. E. Gureyev, A. W. Stevenson, and S. W. Wilkins, “Phase-contrast X-ray imaging of weakly absorbing materials with hard X-rays,” Nature 373, 595–598 (1995).
[Crossref]

Suzuki, Y.

A. Momose, W. Yashiro, Y. Takeda, Y. Suzuki, and T. Hattori, “Phase tomography by X-ray Talbot interferometry for biological imaging,” Jpn. J. Appl. Phys. 45, 5254–5262 (2006).
[Crossref]

A. Momose, S. Kawamoto, I. Koyama, Y. Hamaishi, K. Takai, and Y. Suzuki, “Demonstration of X-ray Talbot interferometry,” Jpn. J. Appl. Phys. 42, L866–L868 (2003).
[Crossref]

Takai, K.

A. Momose, S. Kawamoto, I. Koyama, Y. Hamaishi, K. Takai, and Y. Suzuki, “Demonstration of X-ray Talbot interferometry,” Jpn. J. Appl. Phys. 42, L866–L868 (2003).
[Crossref]

Takeda, H.

M. Matsumoto, K. Takiguchi, M. Tanaka, Y. Hunabiki, H. Takeda, A. Momose, Y. Utsumi, and T Hattori, “Fabrication of diffraction grating for X-ray Talbot interferometer,” Microsyst. Technol. 13, 543–546 (2007).
[Crossref]

Takeda, M.

Takeda, Y.

A. Momose, W. Yashiro, Y. Takeda, Y. Suzuki, and T. Hattori, “Phase tomography by X-ray Talbot interferometry for biological imaging,” Jpn. J. Appl. Phys. 45, 5254–5262 (2006).
[Crossref]

Takiguchi, K.

M. Matsumoto, K. Takiguchi, M. Tanaka, Y. Hunabiki, H. Takeda, A. Momose, Y. Utsumi, and T Hattori, “Fabrication of diffraction grating for X-ray Talbot interferometer,” Microsyst. Technol. 13, 543–546 (2007).
[Crossref]

Tanaka, M.

M. Matsumoto, K. Takiguchi, M. Tanaka, Y. Hunabiki, H. Takeda, A. Momose, Y. Utsumi, and T Hattori, “Fabrication of diffraction grating for X-ray Talbot interferometer,” Microsyst. Technol. 13, 543–546 (2007).
[Crossref]

Utsumi, Y.

M. Matsumoto, K. Takiguchi, M. Tanaka, Y. Hunabiki, H. Takeda, A. Momose, Y. Utsumi, and T Hattori, “Fabrication of diffraction grating for X-ray Talbot interferometer,” Microsyst. Technol. 13, 543–546 (2007).
[Crossref]

Wang, J.

Y. Wang, X. Liu, K. S. Im, W. K. Lee, J. Wang, and K. Fezzaa, “Ultrafast X-ray study of dense-liquid-jet flow dynamics using structure-tracking velosimetry,” Nat. Phys. 4, 305–309 (2008)
[Crossref]

Wang, Y.

Y. Wang, X. Liu, K. S. Im, W. K. Lee, J. Wang, and K. Fezzaa, “Ultrafast X-ray study of dense-liquid-jet flow dynamics using structure-tracking velosimetry,” Nat. Phys. 4, 305–309 (2008)
[Crossref]

Weitkamp, T.

T. Weitkamp, B. Nöhammer, A. Diaz, and C. David, “X-ray wavefront analysis and optics characterization with a grating interferometer,” Appl. Phys. Lett. 86, 054101 (2005).
[Crossref]

Wilkins, S. W.

T. J. Davis, D. Gao, T. E. Gureyev, A. W. Stevenson, and S. W. Wilkins, “Phase-contrast X-ray imaging of weakly absorbing materials with hard X-rays,” Nature 373, 595–598 (1995).
[Crossref]

Yashiro, W.

A. Momose, W. Yashiro, Y. Takeda, Y. Suzuki, and T. Hattori, “Phase tomography by X-ray Talbot interferometry for biological imaging,” Jpn. J. Appl. Phys. 45, 5254–5262 (2006).
[Crossref]

Appl. Phys. Lett. (1)

T. Weitkamp, B. Nöhammer, A. Diaz, and C. David, “X-ray wavefront analysis and optics characterization with a grating interferometer,” Appl. Phys. Lett. 86, 054101 (2005).
[Crossref]

J. Opt. Soc. Am. (1)

Jpn. J. Appl. Phys. (3)

A. Momose, W. Yashiro, Y. Takeda, Y. Suzuki, and T. Hattori, “Phase tomography by X-ray Talbot interferometry for biological imaging,” Jpn. J. Appl. Phys. 45, 5254–5262 (2006).
[Crossref]

A. Momose, S. Kawamoto, I. Koyama, Y. Hamaishi, K. Takai, and Y. Suzuki, “Demonstration of X-ray Talbot interferometry,” Jpn. J. Appl. Phys. 42, L866–L868 (2003).
[Crossref]

A. Momose, “Recent advances in X-ray phase imaging,” Jpn. J. Appl. Phys. 446355–6367 (2005).
[Crossref]

Microsyst. Technol. (1)

M. Matsumoto, K. Takiguchi, M. Tanaka, Y. Hunabiki, H. Takeda, A. Momose, Y. Utsumi, and T Hattori, “Fabrication of diffraction grating for X-ray Talbot interferometer,” Microsyst. Technol. 13, 543–546 (2007).
[Crossref]

Nat. Phys. (1)

Y. Wang, X. Liu, K. S. Im, W. K. Lee, J. Wang, and K. Fezzaa, “Ultrafast X-ray study of dense-liquid-jet flow dynamics using structure-tracking velosimetry,” Nat. Phys. 4, 305–309 (2008)
[Crossref]

Nature (1)

T. J. Davis, D. Gao, T. E. Gureyev, A. W. Stevenson, and S. W. Wilkins, “Phase-contrast X-ray imaging of weakly absorbing materials with hard X-rays,” Nature 373, 595–598 (1995).
[Crossref]

Nucl. Instrum. Methods Phys. Res. Sect. A (1)

A. Momose, “Demonstration of phase-contrast X-ray computed tomography using an X-ray interferometer,” Nucl. Instrum. Methods Phys. Res. Sect. A 352622–628 (1995).
[Crossref]

Opt. Express (1)

Photon Factory Activity Report (1)

A. Momose, “Demonstration of phase-contrast X-ray computed tomography using an X-ray interferometer,” Photon Factory Activity Report 11, 186 (1993).

Phys. Today (1)

R. Fitzgerald, “Phase-sensitive X-ray imaging,” Phys. Today 53(7), 23–26 (2000).
[Crossref]

Rev. Sci. Instrum. (1)

A. Snigirev, I. Snigireva, V. Kohn, S. Kuznetsov, and I. Schelokov, “On the possibilities of X-ray phase contrast microimaging by coherent high-energy synchrotron radiation,” Rev. Sci. Instrum. 66, 5486–5492 (1995).
[Crossref]

Supplementary Material (5)

» Media 1: MPG (1884 KB)     
» Media 2: MPG (934 KB)     
» Media 3: MPG (934 KB)     
» Media 4: MPG (934 KB)     
» Media 5: MPG (1584 KB)     

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Figures (4)

Fig. 1.
Fig. 1.

Experimental set up of X-ray Talbot interferometer.

Fig. 2.
Fig. 2.

Moiré fringe visibility as a function of the distance between G1 and G2.

Fig. 3.
Fig. 3.

Image processing for obtaining a differential phase image from a raw image with carrier fringes. The original moiré image (a), whose close up is shown in the inset, is Fourier-transformed as (b). Only the first order is extracted as in (c), and the calculation of the inverse Fourier-transform of (c) yields a differential phase image (d). Note that the x axis is parallel to the vertical direction.

Fig. 4.
Fig. 4.

Demonstration with a polypropylene sphere. (a)–(d): Differential phase images of a moving polypropylene sphere across the field of view with the speeds of (a) 85 mm/s (Media 1), (b) 170 mm/s (Media 2), (c) 340 mm/s (Media 3), and (d) 850 mm/s (Media 4), respectively. (e) Phase tomogram of the sphere acquired with a 0.5 s exposure (Media 5). Media 14 are given with ×3/100 slow-motion videos.

Equations (8)

Equations on this page are rendered with MathJax. Learn more.

I(x,y;λ)=Σnαn(λ)exp{2πindz0φx(x,y;λ)}
φx(x,y;λ)=λ2πΦ(x,y;λ)x.
I˜(x,y)=dλP(λ)I(x,y;λ),
I˜(x,y)=Σnα˜nexp{2πindz0φ˜x(x,y)},
I˜(x,y)=Σnβn(x,y)exp(2πinfyy),
βn(x,y)=α˜nexp{2πindz0φ˜x(x,y)},
I˜F(x,f)=ΣnβnF(x,f+nfy),
φ˜x(x,y)=d2πz0arg{β1(x,y,z)β10(x,y,z)}.

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