Abstract

Grating-based x-ray differential phase contrast imaging (DPCI) often uses a phase stepping procedure to acquire data that enables the extraction of phase information. This method prolongs the time needed for data acquisition by several times compared with conventional x-ray absorption image acquisitions. A novel analyzer grating design was developed in this work to eliminate the additional data acquisition time needed to perform phase stepping in DPCI. The new analyzer grating was fabricated such that the linear grating structures are shifted from one detector row to the next; the amount of the lateral shift was equal to a fraction of the x-ray diffraction fringe pattern. The x-ray data from several neighboring detector rows were then combined to extract differential phase information. Initial experimental results have demonstrated that the new analyzer grating enables accurate DPCI signal acquisition from a single x-ray exposure like conventional x-ray absorption imaging.

© 2014 Optical Society of America

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  1. A. Momose, S. Kawamoto, I. Koyama, Y. Hamaishi, H. Takai, and Y. Suzuki, “Demonstration of x-ray Talbot interferometry,” Jpn. J. Appl. Phys., Part 2  42, 866–868 (2003).
    [CrossRef]
  2. T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, E. Zeigler, and P. Cloetens, “X-ray phase imaging with a grating interferometer,” Opt. Express 12, 6296–6304 (2005).
    [CrossRef]
  3. K. Li, Y. Ge, J. Garrett, N. Bevins, J. Zambelli, and G.-H. Chen, “Grating-based phase contrast tomosynthesis imaging: Proof-of-concept experimental studies,” Med. Phys. 41, 011903 (2014).
    [CrossRef] [PubMed]
  4. A. Tapfer, M. Bech, B. Pauwels, X. Liu, P. Bruyndonckx, A. Sasov, J. Kenntner, J. Mohr, M. Walter, J. Schulz, and F. Pfeiffer, “Development of a prototype gantry system for preclinical x-ray phase-contrast computed tomography,” Med. Phys. 38, 5910–5915 (2011).
    [CrossRef] [PubMed]
  5. I. Zanette, M. Bech, F. Pfeiffer, and T. Weitkamp, “Interlaced phase stepping in phase-contrast x-ray tomography,” Appl. Phys. Lett. 98, 094101 (2011).
    [CrossRef]
  6. P. Zhu, K. Zhang, Z. Wang, Y. Liu, X. Liu, Z. Wu, S.A. McDonald, F. Marone, and M. Stampanoni, “Low-dose, simple, and fast grating-based x-ray phase-contrast imaging,” Proc. Natl. Acad. Sci. 107, 13576–13581 (2010).
    [CrossRef] [PubMed]
  7. N. Bevins, J. Zambelli, K. Li, Z. Qi, and G.-H. Chen, “Multi-contrast x-ray computed tomography imaging using Talbot-Lau interferometry without phase stepping,” Med. Phys. 39, 424–428 (2012).
    [CrossRef] [PubMed]
  8. H. Miao, L. Chen, E. Bennett, N. Adamo, A. Gomella, A. DeLuca, A. Patel, N. Morgan, and H. Wen, “Motionless phase stepping in x-ray phase contrast imaging with a compact source,” Proc. Natl. Acad. Sci. U. S. A. 110, 19268–19272 (2013).
    [CrossRef] [PubMed]
  9. N. Bevins, J. Zambelli, K. Li, and G.-H. Chen, “Comparison of phase contrast signal extraction techniques,” AIP Conf. Proc. 1466, 169–174 (2012).
    [CrossRef]
  10. F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Brönnimann, C. Grünzweig, and C. David, “Hard-x-ray dark-field imaging using a grating interferometer,” Nat. Mater. 7, 134–137 (2008).
    [CrossRef] [PubMed]

2014 (1)

K. Li, Y. Ge, J. Garrett, N. Bevins, J. Zambelli, and G.-H. Chen, “Grating-based phase contrast tomosynthesis imaging: Proof-of-concept experimental studies,” Med. Phys. 41, 011903 (2014).
[CrossRef] [PubMed]

2013 (1)

H. Miao, L. Chen, E. Bennett, N. Adamo, A. Gomella, A. DeLuca, A. Patel, N. Morgan, and H. Wen, “Motionless phase stepping in x-ray phase contrast imaging with a compact source,” Proc. Natl. Acad. Sci. U. S. A. 110, 19268–19272 (2013).
[CrossRef] [PubMed]

2012 (2)

N. Bevins, J. Zambelli, K. Li, and G.-H. Chen, “Comparison of phase contrast signal extraction techniques,” AIP Conf. Proc. 1466, 169–174 (2012).
[CrossRef]

N. Bevins, J. Zambelli, K. Li, Z. Qi, and G.-H. Chen, “Multi-contrast x-ray computed tomography imaging using Talbot-Lau interferometry without phase stepping,” Med. Phys. 39, 424–428 (2012).
[CrossRef] [PubMed]

2011 (2)

A. Tapfer, M. Bech, B. Pauwels, X. Liu, P. Bruyndonckx, A. Sasov, J. Kenntner, J. Mohr, M. Walter, J. Schulz, and F. Pfeiffer, “Development of a prototype gantry system for preclinical x-ray phase-contrast computed tomography,” Med. Phys. 38, 5910–5915 (2011).
[CrossRef] [PubMed]

I. Zanette, M. Bech, F. Pfeiffer, and T. Weitkamp, “Interlaced phase stepping in phase-contrast x-ray tomography,” Appl. Phys. Lett. 98, 094101 (2011).
[CrossRef]

2010 (1)

P. Zhu, K. Zhang, Z. Wang, Y. Liu, X. Liu, Z. Wu, S.A. McDonald, F. Marone, and M. Stampanoni, “Low-dose, simple, and fast grating-based x-ray phase-contrast imaging,” Proc. Natl. Acad. Sci. 107, 13576–13581 (2010).
[CrossRef] [PubMed]

2008 (1)

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Brönnimann, C. Grünzweig, and C. David, “Hard-x-ray dark-field imaging using a grating interferometer,” Nat. Mater. 7, 134–137 (2008).
[CrossRef] [PubMed]

2005 (1)

T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, E. Zeigler, and P. Cloetens, “X-ray phase imaging with a grating interferometer,” Opt. Express 12, 6296–6304 (2005).
[CrossRef]

2003 (1)

A. Momose, S. Kawamoto, I. Koyama, Y. Hamaishi, H. Takai, and Y. Suzuki, “Demonstration of x-ray Talbot interferometry,” Jpn. J. Appl. Phys., Part 2  42, 866–868 (2003).
[CrossRef]

Adamo, N.

H. Miao, L. Chen, E. Bennett, N. Adamo, A. Gomella, A. DeLuca, A. Patel, N. Morgan, and H. Wen, “Motionless phase stepping in x-ray phase contrast imaging with a compact source,” Proc. Natl. Acad. Sci. U. S. A. 110, 19268–19272 (2013).
[CrossRef] [PubMed]

Bech, M.

A. Tapfer, M. Bech, B. Pauwels, X. Liu, P. Bruyndonckx, A. Sasov, J. Kenntner, J. Mohr, M. Walter, J. Schulz, and F. Pfeiffer, “Development of a prototype gantry system for preclinical x-ray phase-contrast computed tomography,” Med. Phys. 38, 5910–5915 (2011).
[CrossRef] [PubMed]

I. Zanette, M. Bech, F. Pfeiffer, and T. Weitkamp, “Interlaced phase stepping in phase-contrast x-ray tomography,” Appl. Phys. Lett. 98, 094101 (2011).
[CrossRef]

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Brönnimann, C. Grünzweig, and C. David, “Hard-x-ray dark-field imaging using a grating interferometer,” Nat. Mater. 7, 134–137 (2008).
[CrossRef] [PubMed]

Bennett, E.

H. Miao, L. Chen, E. Bennett, N. Adamo, A. Gomella, A. DeLuca, A. Patel, N. Morgan, and H. Wen, “Motionless phase stepping in x-ray phase contrast imaging with a compact source,” Proc. Natl. Acad. Sci. U. S. A. 110, 19268–19272 (2013).
[CrossRef] [PubMed]

Bevins, N.

K. Li, Y. Ge, J. Garrett, N. Bevins, J. Zambelli, and G.-H. Chen, “Grating-based phase contrast tomosynthesis imaging: Proof-of-concept experimental studies,” Med. Phys. 41, 011903 (2014).
[CrossRef] [PubMed]

N. Bevins, J. Zambelli, K. Li, and G.-H. Chen, “Comparison of phase contrast signal extraction techniques,” AIP Conf. Proc. 1466, 169–174 (2012).
[CrossRef]

N. Bevins, J. Zambelli, K. Li, Z. Qi, and G.-H. Chen, “Multi-contrast x-ray computed tomography imaging using Talbot-Lau interferometry without phase stepping,” Med. Phys. 39, 424–428 (2012).
[CrossRef] [PubMed]

Brönnimann, C.

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Brönnimann, C. Grünzweig, and C. David, “Hard-x-ray dark-field imaging using a grating interferometer,” Nat. Mater. 7, 134–137 (2008).
[CrossRef] [PubMed]

Bruyndonckx, P.

A. Tapfer, M. Bech, B. Pauwels, X. Liu, P. Bruyndonckx, A. Sasov, J. Kenntner, J. Mohr, M. Walter, J. Schulz, and F. Pfeiffer, “Development of a prototype gantry system for preclinical x-ray phase-contrast computed tomography,” Med. Phys. 38, 5910–5915 (2011).
[CrossRef] [PubMed]

Bunk, O.

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Brönnimann, C. Grünzweig, and C. David, “Hard-x-ray dark-field imaging using a grating interferometer,” Nat. Mater. 7, 134–137 (2008).
[CrossRef] [PubMed]

Chen, G.-H.

K. Li, Y. Ge, J. Garrett, N. Bevins, J. Zambelli, and G.-H. Chen, “Grating-based phase contrast tomosynthesis imaging: Proof-of-concept experimental studies,” Med. Phys. 41, 011903 (2014).
[CrossRef] [PubMed]

N. Bevins, J. Zambelli, K. Li, and G.-H. Chen, “Comparison of phase contrast signal extraction techniques,” AIP Conf. Proc. 1466, 169–174 (2012).
[CrossRef]

N. Bevins, J. Zambelli, K. Li, Z. Qi, and G.-H. Chen, “Multi-contrast x-ray computed tomography imaging using Talbot-Lau interferometry without phase stepping,” Med. Phys. 39, 424–428 (2012).
[CrossRef] [PubMed]

Chen, L.

H. Miao, L. Chen, E. Bennett, N. Adamo, A. Gomella, A. DeLuca, A. Patel, N. Morgan, and H. Wen, “Motionless phase stepping in x-ray phase contrast imaging with a compact source,” Proc. Natl. Acad. Sci. U. S. A. 110, 19268–19272 (2013).
[CrossRef] [PubMed]

Cloetens, P.

T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, E. Zeigler, and P. Cloetens, “X-ray phase imaging with a grating interferometer,” Opt. Express 12, 6296–6304 (2005).
[CrossRef]

David, C.

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Brönnimann, C. Grünzweig, and C. David, “Hard-x-ray dark-field imaging using a grating interferometer,” Nat. Mater. 7, 134–137 (2008).
[CrossRef] [PubMed]

T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, E. Zeigler, and P. Cloetens, “X-ray phase imaging with a grating interferometer,” Opt. Express 12, 6296–6304 (2005).
[CrossRef]

DeLuca, A.

H. Miao, L. Chen, E. Bennett, N. Adamo, A. Gomella, A. DeLuca, A. Patel, N. Morgan, and H. Wen, “Motionless phase stepping in x-ray phase contrast imaging with a compact source,” Proc. Natl. Acad. Sci. U. S. A. 110, 19268–19272 (2013).
[CrossRef] [PubMed]

Diaz, A.

T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, E. Zeigler, and P. Cloetens, “X-ray phase imaging with a grating interferometer,” Opt. Express 12, 6296–6304 (2005).
[CrossRef]

Eikenberry, E. F.

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Brönnimann, C. Grünzweig, and C. David, “Hard-x-ray dark-field imaging using a grating interferometer,” Nat. Mater. 7, 134–137 (2008).
[CrossRef] [PubMed]

Garrett, J.

K. Li, Y. Ge, J. Garrett, N. Bevins, J. Zambelli, and G.-H. Chen, “Grating-based phase contrast tomosynthesis imaging: Proof-of-concept experimental studies,” Med. Phys. 41, 011903 (2014).
[CrossRef] [PubMed]

Ge, Y.

K. Li, Y. Ge, J. Garrett, N. Bevins, J. Zambelli, and G.-H. Chen, “Grating-based phase contrast tomosynthesis imaging: Proof-of-concept experimental studies,” Med. Phys. 41, 011903 (2014).
[CrossRef] [PubMed]

Gomella, A.

H. Miao, L. Chen, E. Bennett, N. Adamo, A. Gomella, A. DeLuca, A. Patel, N. Morgan, and H. Wen, “Motionless phase stepping in x-ray phase contrast imaging with a compact source,” Proc. Natl. Acad. Sci. U. S. A. 110, 19268–19272 (2013).
[CrossRef] [PubMed]

Grünzweig, C.

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Brönnimann, C. Grünzweig, and C. David, “Hard-x-ray dark-field imaging using a grating interferometer,” Nat. Mater. 7, 134–137 (2008).
[CrossRef] [PubMed]

Hamaishi, Y.

A. Momose, S. Kawamoto, I. Koyama, Y. Hamaishi, H. Takai, and Y. Suzuki, “Demonstration of x-ray Talbot interferometry,” Jpn. J. Appl. Phys., Part 2  42, 866–868 (2003).
[CrossRef]

Kawamoto, S.

A. Momose, S. Kawamoto, I. Koyama, Y. Hamaishi, H. Takai, and Y. Suzuki, “Demonstration of x-ray Talbot interferometry,” Jpn. J. Appl. Phys., Part 2  42, 866–868 (2003).
[CrossRef]

Kenntner, J.

A. Tapfer, M. Bech, B. Pauwels, X. Liu, P. Bruyndonckx, A. Sasov, J. Kenntner, J. Mohr, M. Walter, J. Schulz, and F. Pfeiffer, “Development of a prototype gantry system for preclinical x-ray phase-contrast computed tomography,” Med. Phys. 38, 5910–5915 (2011).
[CrossRef] [PubMed]

Koyama, I.

A. Momose, S. Kawamoto, I. Koyama, Y. Hamaishi, H. Takai, and Y. Suzuki, “Demonstration of x-ray Talbot interferometry,” Jpn. J. Appl. Phys., Part 2  42, 866–868 (2003).
[CrossRef]

Kraft, P.

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Brönnimann, C. Grünzweig, and C. David, “Hard-x-ray dark-field imaging using a grating interferometer,” Nat. Mater. 7, 134–137 (2008).
[CrossRef] [PubMed]

Li, K.

K. Li, Y. Ge, J. Garrett, N. Bevins, J. Zambelli, and G.-H. Chen, “Grating-based phase contrast tomosynthesis imaging: Proof-of-concept experimental studies,” Med. Phys. 41, 011903 (2014).
[CrossRef] [PubMed]

N. Bevins, J. Zambelli, K. Li, and G.-H. Chen, “Comparison of phase contrast signal extraction techniques,” AIP Conf. Proc. 1466, 169–174 (2012).
[CrossRef]

N. Bevins, J. Zambelli, K. Li, Z. Qi, and G.-H. Chen, “Multi-contrast x-ray computed tomography imaging using Talbot-Lau interferometry without phase stepping,” Med. Phys. 39, 424–428 (2012).
[CrossRef] [PubMed]

Liu, X.

A. Tapfer, M. Bech, B. Pauwels, X. Liu, P. Bruyndonckx, A. Sasov, J. Kenntner, J. Mohr, M. Walter, J. Schulz, and F. Pfeiffer, “Development of a prototype gantry system for preclinical x-ray phase-contrast computed tomography,” Med. Phys. 38, 5910–5915 (2011).
[CrossRef] [PubMed]

P. Zhu, K. Zhang, Z. Wang, Y. Liu, X. Liu, Z. Wu, S.A. McDonald, F. Marone, and M. Stampanoni, “Low-dose, simple, and fast grating-based x-ray phase-contrast imaging,” Proc. Natl. Acad. Sci. 107, 13576–13581 (2010).
[CrossRef] [PubMed]

Liu, Y.

P. Zhu, K. Zhang, Z. Wang, Y. Liu, X. Liu, Z. Wu, S.A. McDonald, F. Marone, and M. Stampanoni, “Low-dose, simple, and fast grating-based x-ray phase-contrast imaging,” Proc. Natl. Acad. Sci. 107, 13576–13581 (2010).
[CrossRef] [PubMed]

Marone, F.

P. Zhu, K. Zhang, Z. Wang, Y. Liu, X. Liu, Z. Wu, S.A. McDonald, F. Marone, and M. Stampanoni, “Low-dose, simple, and fast grating-based x-ray phase-contrast imaging,” Proc. Natl. Acad. Sci. 107, 13576–13581 (2010).
[CrossRef] [PubMed]

McDonald, S.A.

P. Zhu, K. Zhang, Z. Wang, Y. Liu, X. Liu, Z. Wu, S.A. McDonald, F. Marone, and M. Stampanoni, “Low-dose, simple, and fast grating-based x-ray phase-contrast imaging,” Proc. Natl. Acad. Sci. 107, 13576–13581 (2010).
[CrossRef] [PubMed]

Miao, H.

H. Miao, L. Chen, E. Bennett, N. Adamo, A. Gomella, A. DeLuca, A. Patel, N. Morgan, and H. Wen, “Motionless phase stepping in x-ray phase contrast imaging with a compact source,” Proc. Natl. Acad. Sci. U. S. A. 110, 19268–19272 (2013).
[CrossRef] [PubMed]

Mohr, J.

A. Tapfer, M. Bech, B. Pauwels, X. Liu, P. Bruyndonckx, A. Sasov, J. Kenntner, J. Mohr, M. Walter, J. Schulz, and F. Pfeiffer, “Development of a prototype gantry system for preclinical x-ray phase-contrast computed tomography,” Med. Phys. 38, 5910–5915 (2011).
[CrossRef] [PubMed]

Momose, A.

A. Momose, S. Kawamoto, I. Koyama, Y. Hamaishi, H. Takai, and Y. Suzuki, “Demonstration of x-ray Talbot interferometry,” Jpn. J. Appl. Phys., Part 2  42, 866–868 (2003).
[CrossRef]

Morgan, N.

H. Miao, L. Chen, E. Bennett, N. Adamo, A. Gomella, A. DeLuca, A. Patel, N. Morgan, and H. Wen, “Motionless phase stepping in x-ray phase contrast imaging with a compact source,” Proc. Natl. Acad. Sci. U. S. A. 110, 19268–19272 (2013).
[CrossRef] [PubMed]

Patel, A.

H. Miao, L. Chen, E. Bennett, N. Adamo, A. Gomella, A. DeLuca, A. Patel, N. Morgan, and H. Wen, “Motionless phase stepping in x-ray phase contrast imaging with a compact source,” Proc. Natl. Acad. Sci. U. S. A. 110, 19268–19272 (2013).
[CrossRef] [PubMed]

Pauwels, B.

A. Tapfer, M. Bech, B. Pauwels, X. Liu, P. Bruyndonckx, A. Sasov, J. Kenntner, J. Mohr, M. Walter, J. Schulz, and F. Pfeiffer, “Development of a prototype gantry system for preclinical x-ray phase-contrast computed tomography,” Med. Phys. 38, 5910–5915 (2011).
[CrossRef] [PubMed]

Pfeiffer, F.

I. Zanette, M. Bech, F. Pfeiffer, and T. Weitkamp, “Interlaced phase stepping in phase-contrast x-ray tomography,” Appl. Phys. Lett. 98, 094101 (2011).
[CrossRef]

A. Tapfer, M. Bech, B. Pauwels, X. Liu, P. Bruyndonckx, A. Sasov, J. Kenntner, J. Mohr, M. Walter, J. Schulz, and F. Pfeiffer, “Development of a prototype gantry system for preclinical x-ray phase-contrast computed tomography,” Med. Phys. 38, 5910–5915 (2011).
[CrossRef] [PubMed]

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Brönnimann, C. Grünzweig, and C. David, “Hard-x-ray dark-field imaging using a grating interferometer,” Nat. Mater. 7, 134–137 (2008).
[CrossRef] [PubMed]

T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, E. Zeigler, and P. Cloetens, “X-ray phase imaging with a grating interferometer,” Opt. Express 12, 6296–6304 (2005).
[CrossRef]

Qi, Z.

N. Bevins, J. Zambelli, K. Li, Z. Qi, and G.-H. Chen, “Multi-contrast x-ray computed tomography imaging using Talbot-Lau interferometry without phase stepping,” Med. Phys. 39, 424–428 (2012).
[CrossRef] [PubMed]

Sasov, A.

A. Tapfer, M. Bech, B. Pauwels, X. Liu, P. Bruyndonckx, A. Sasov, J. Kenntner, J. Mohr, M. Walter, J. Schulz, and F. Pfeiffer, “Development of a prototype gantry system for preclinical x-ray phase-contrast computed tomography,” Med. Phys. 38, 5910–5915 (2011).
[CrossRef] [PubMed]

Schulz, J.

A. Tapfer, M. Bech, B. Pauwels, X. Liu, P. Bruyndonckx, A. Sasov, J. Kenntner, J. Mohr, M. Walter, J. Schulz, and F. Pfeiffer, “Development of a prototype gantry system for preclinical x-ray phase-contrast computed tomography,” Med. Phys. 38, 5910–5915 (2011).
[CrossRef] [PubMed]

Stampanoni, M.

P. Zhu, K. Zhang, Z. Wang, Y. Liu, X. Liu, Z. Wu, S.A. McDonald, F. Marone, and M. Stampanoni, “Low-dose, simple, and fast grating-based x-ray phase-contrast imaging,” Proc. Natl. Acad. Sci. 107, 13576–13581 (2010).
[CrossRef] [PubMed]

T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, E. Zeigler, and P. Cloetens, “X-ray phase imaging with a grating interferometer,” Opt. Express 12, 6296–6304 (2005).
[CrossRef]

Suzuki, Y.

A. Momose, S. Kawamoto, I. Koyama, Y. Hamaishi, H. Takai, and Y. Suzuki, “Demonstration of x-ray Talbot interferometry,” Jpn. J. Appl. Phys., Part 2  42, 866–868 (2003).
[CrossRef]

Takai, H.

A. Momose, S. Kawamoto, I. Koyama, Y. Hamaishi, H. Takai, and Y. Suzuki, “Demonstration of x-ray Talbot interferometry,” Jpn. J. Appl. Phys., Part 2  42, 866–868 (2003).
[CrossRef]

Tapfer, A.

A. Tapfer, M. Bech, B. Pauwels, X. Liu, P. Bruyndonckx, A. Sasov, J. Kenntner, J. Mohr, M. Walter, J. Schulz, and F. Pfeiffer, “Development of a prototype gantry system for preclinical x-ray phase-contrast computed tomography,” Med. Phys. 38, 5910–5915 (2011).
[CrossRef] [PubMed]

Walter, M.

A. Tapfer, M. Bech, B. Pauwels, X. Liu, P. Bruyndonckx, A. Sasov, J. Kenntner, J. Mohr, M. Walter, J. Schulz, and F. Pfeiffer, “Development of a prototype gantry system for preclinical x-ray phase-contrast computed tomography,” Med. Phys. 38, 5910–5915 (2011).
[CrossRef] [PubMed]

Wang, Z.

P. Zhu, K. Zhang, Z. Wang, Y. Liu, X. Liu, Z. Wu, S.A. McDonald, F. Marone, and M. Stampanoni, “Low-dose, simple, and fast grating-based x-ray phase-contrast imaging,” Proc. Natl. Acad. Sci. 107, 13576–13581 (2010).
[CrossRef] [PubMed]

Weitkamp, T.

I. Zanette, M. Bech, F. Pfeiffer, and T. Weitkamp, “Interlaced phase stepping in phase-contrast x-ray tomography,” Appl. Phys. Lett. 98, 094101 (2011).
[CrossRef]

T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, E. Zeigler, and P. Cloetens, “X-ray phase imaging with a grating interferometer,” Opt. Express 12, 6296–6304 (2005).
[CrossRef]

Wen, H.

H. Miao, L. Chen, E. Bennett, N. Adamo, A. Gomella, A. DeLuca, A. Patel, N. Morgan, and H. Wen, “Motionless phase stepping in x-ray phase contrast imaging with a compact source,” Proc. Natl. Acad. Sci. U. S. A. 110, 19268–19272 (2013).
[CrossRef] [PubMed]

Wu, Z.

P. Zhu, K. Zhang, Z. Wang, Y. Liu, X. Liu, Z. Wu, S.A. McDonald, F. Marone, and M. Stampanoni, “Low-dose, simple, and fast grating-based x-ray phase-contrast imaging,” Proc. Natl. Acad. Sci. 107, 13576–13581 (2010).
[CrossRef] [PubMed]

Zambelli, J.

K. Li, Y. Ge, J. Garrett, N. Bevins, J. Zambelli, and G.-H. Chen, “Grating-based phase contrast tomosynthesis imaging: Proof-of-concept experimental studies,” Med. Phys. 41, 011903 (2014).
[CrossRef] [PubMed]

N. Bevins, J. Zambelli, K. Li, Z. Qi, and G.-H. Chen, “Multi-contrast x-ray computed tomography imaging using Talbot-Lau interferometry without phase stepping,” Med. Phys. 39, 424–428 (2012).
[CrossRef] [PubMed]

N. Bevins, J. Zambelli, K. Li, and G.-H. Chen, “Comparison of phase contrast signal extraction techniques,” AIP Conf. Proc. 1466, 169–174 (2012).
[CrossRef]

Zanette, I.

I. Zanette, M. Bech, F. Pfeiffer, and T. Weitkamp, “Interlaced phase stepping in phase-contrast x-ray tomography,” Appl. Phys. Lett. 98, 094101 (2011).
[CrossRef]

Zeigler, E.

T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, E. Zeigler, and P. Cloetens, “X-ray phase imaging with a grating interferometer,” Opt. Express 12, 6296–6304 (2005).
[CrossRef]

Zhang, K.

P. Zhu, K. Zhang, Z. Wang, Y. Liu, X. Liu, Z. Wu, S.A. McDonald, F. Marone, and M. Stampanoni, “Low-dose, simple, and fast grating-based x-ray phase-contrast imaging,” Proc. Natl. Acad. Sci. 107, 13576–13581 (2010).
[CrossRef] [PubMed]

Zhu, P.

P. Zhu, K. Zhang, Z. Wang, Y. Liu, X. Liu, Z. Wu, S.A. McDonald, F. Marone, and M. Stampanoni, “Low-dose, simple, and fast grating-based x-ray phase-contrast imaging,” Proc. Natl. Acad. Sci. 107, 13576–13581 (2010).
[CrossRef] [PubMed]

AIP Conf. Proc. (1)

N. Bevins, J. Zambelli, K. Li, and G.-H. Chen, “Comparison of phase contrast signal extraction techniques,” AIP Conf. Proc. 1466, 169–174 (2012).
[CrossRef]

Appl. Phys. Lett. (1)

I. Zanette, M. Bech, F. Pfeiffer, and T. Weitkamp, “Interlaced phase stepping in phase-contrast x-ray tomography,” Appl. Phys. Lett. 98, 094101 (2011).
[CrossRef]

Jpn. J. Appl. Phys., (1)

A. Momose, S. Kawamoto, I. Koyama, Y. Hamaishi, H. Takai, and Y. Suzuki, “Demonstration of x-ray Talbot interferometry,” Jpn. J. Appl. Phys., Part 2  42, 866–868 (2003).
[CrossRef]

Med. Phys. (3)

K. Li, Y. Ge, J. Garrett, N. Bevins, J. Zambelli, and G.-H. Chen, “Grating-based phase contrast tomosynthesis imaging: Proof-of-concept experimental studies,” Med. Phys. 41, 011903 (2014).
[CrossRef] [PubMed]

A. Tapfer, M. Bech, B. Pauwels, X. Liu, P. Bruyndonckx, A. Sasov, J. Kenntner, J. Mohr, M. Walter, J. Schulz, and F. Pfeiffer, “Development of a prototype gantry system for preclinical x-ray phase-contrast computed tomography,” Med. Phys. 38, 5910–5915 (2011).
[CrossRef] [PubMed]

N. Bevins, J. Zambelli, K. Li, Z. Qi, and G.-H. Chen, “Multi-contrast x-ray computed tomography imaging using Talbot-Lau interferometry without phase stepping,” Med. Phys. 39, 424–428 (2012).
[CrossRef] [PubMed]

Nat. Mater. (1)

F. Pfeiffer, M. Bech, O. Bunk, P. Kraft, E. F. Eikenberry, C. Brönnimann, C. Grünzweig, and C. David, “Hard-x-ray dark-field imaging using a grating interferometer,” Nat. Mater. 7, 134–137 (2008).
[CrossRef] [PubMed]

Opt. Express (1)

T. Weitkamp, A. Diaz, C. David, F. Pfeiffer, M. Stampanoni, E. Zeigler, and P. Cloetens, “X-ray phase imaging with a grating interferometer,” Opt. Express 12, 6296–6304 (2005).
[CrossRef]

Proc. Natl. Acad. Sci. (1)

P. Zhu, K. Zhang, Z. Wang, Y. Liu, X. Liu, Z. Wu, S.A. McDonald, F. Marone, and M. Stampanoni, “Low-dose, simple, and fast grating-based x-ray phase-contrast imaging,” Proc. Natl. Acad. Sci. 107, 13576–13581 (2010).
[CrossRef] [PubMed]

Proc. Natl. Acad. Sci. U. S. A. (1)

H. Miao, L. Chen, E. Bennett, N. Adamo, A. Gomella, A. DeLuca, A. Patel, N. Morgan, and H. Wen, “Motionless phase stepping in x-ray phase contrast imaging with a compact source,” Proc. Natl. Acad. Sci. U. S. A. 110, 19268–19272 (2013).
[CrossRef] [PubMed]

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Figures (7)

Fig. 1
Fig. 1

(a) Conventional G2 grating design. (b) New G2 grating design.

Fig. 2
Fig. 2

An SEM image of the new G2 grating.

Fig. 3
Fig. 3

A schematic illustration (a) and a photo (b) of the DPCI experimental system equipped with the new G2 grating.

Fig. 4
Fig. 4

The cylindrical acrylic phantom used during DPC-CT data acquisition. The numbers next to the phantom represent the layers of spheres within the phantom.

Fig. 5
Fig. 5

DPCI images of the PTFE tube. (a) is the x-ray absorption image, (b) is the differential phase contrast image, their line profiles are shown in (c) and (d) respectively. In both (c) and (d), the solid lines represent measurements and the dashed lines are theoretical calculations. Note that the pixel values in (c) have been normalized.

Fig. 6
Fig. 6

Projection images of the grasshopper. (a) the x-ray absorption image, (b) the differential phase contrast image, and (c) the dark field image.

Fig. 7
Fig. 7

Coronal planes of volumetric tomographic images of the cylindrical acrylic phantom. (a) the absorption CT image with a display range of [0.04, 0.10] cm−1, (b) the DPC-CT image with a display range of [0.7, 7.0] × 10−7, and (c) the dark field CT image with a display range of [0.10, 0.50].

Tables (1)

Tables Icon

Table 1 List of system geometric parameters.

Equations (8)

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I ( k ) ( x , z ) = I 0 ( x , z ) + I 1 ( x , z ) cos [ 2 π M k + φ ( x , z ) ] ,
I 0 ( x , z ) = 1 M k = 1 M I ( k ) ( x , z ) ,
I 1 ( x , z ) = 2 M [ k = 1 M I ( k ) ( x , z ) sin ( 2 π k / M ) ] 2 + [ k = 1 M I ( k ) ( x , z ) cos ( 2 π k / M ) ] 2 ,
φ ( x , z ) = tan 1 [ k = 1 M I ( k ) ( x , z ) sin ( 2 π k / M ) k = 1 M I ( k ) ( x , z ) cos ( 2 π k / M ) ] .
I ( 1 ) ( x , z ) = I ( x , z 1 ) ,
I ( 2 ) ( x , z ) = I ( x , z ) ,
I ( 3 ) ( x , z ) = I ( x , z + 1 ) ,
I ( 4 ) ( x , z ) = I ( x , z + 2 ) .

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