Abstract

We outline how ptychographic imaging can be performed without the need for discrete scan positions. Through an idealized experiment, we demonstrate how a discrete-position scan regime can be replaced with a continuously scanned one with suitable modification of the reconstruction scheme based on coherent modes. The impact of this is that acquisition times can be reduced, significantly aiding ptychographic imaging with x rays, electrons, or visible light.

© 2014 Optical Society of America

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2014 (3)

J. N. Clark, X. Huang, R. J. Harder, and I. K. Robinson, Phys. Rev. Lett. 112, 113901 (2014).
[Crossref]

B. Enders, M. Dierolf, P. Cloetens, M. Stockmar, F. Pfeiffer, and P. Thibault, Appl. Phys. Lett. 104, 171104 (2014).
[Crossref]

M. Guizar-Sicairos, I. Johnson, A. Diaz, M. Holler, P. Karvinen, H.-C. Stadler, R. Dinapoli, O. Bunk, and A. Menzel, Opt. Express 22, 14859 (2014).
[Crossref]

2013 (3)

P. Thibault and A. Menzel, Nature 494, 68 (2013).
[Crossref]

T. B. Edo, D. J. Batey, A. M. Maiden, C. Rau, U. Wagner, Z. D. Pešić, T. A. Waigh, and J. M. Rodenburg, Phys. Rev. A 87, 053850 (2013).
[Crossref]

R. N. Wilke, M. Vassholz, and T. Salditt, Acta Crystallogr. Sect. A 69, 490 (2013).
[Crossref]

2012 (4)

C. T. Putkunz, A. J. D’Alfonso, A. J. Morgan, M. Weyland, C. Dwyer, L. Bourgeois, J. Etheridge, A. Roberts, R. E. Scholten, K. A. Nugent, and L. J. Allen, Phys. Rev. Lett. 108, 073901 (2012).
[Crossref]

M. J. Humphry, B. Kraus, A. C. Hurst, A. M. Maiden, and J. M. Rodenburg, Nat. Commun. 3, 730 (2012).
[Crossref]

S. O. Hruszkewycz, M. V. Holt, C. E. Murray, J. Bruley, J. Holt, A. Tripathi, O. G. Shpyrko, I. McNulty, M. J. Highland, and P. H. Fuoss, Nano Lett. 12, 5148 (2012).
[Crossref]

A. M. Maiden, M. J. Humphry, and J. M. Rodenburg, J. Opt. Soc. Am. A 29, 1606 (2012).
[Crossref]

2011 (1)

2010 (2)

M. Dierolf, A. Menzel, P. Thibault, P. Schneider, C. M. Kewish, R. Wepf, O. Bunk, and F. Pfeiffer, Nature 467, 436 (2010).
[Crossref]

K. Giewekemeyer, P. Thibault, S. Kalbfleisch, A. Beerlink, C. M. Kewish, M. Dierolf, F. Pfeiffer, and T. Salditt, Proc. Natl. Acad. Sci. USA 107, 529 (2010).
[Crossref]

2009 (1)

2008 (2)

M. Guizar-Sicairos and J. R. Fienup, Opt. Express 16, 7264 (2008).
[Crossref]

P. Thibault, M. Dierolf, A. Menzel, O. Bunk, C. David, and F. Pfeiffer, Science 321, 379 (2008).
[Crossref]

2007 (3)

J. M. Rodenburg, A. C. Hurst, and A. G. Cullis, Ultramicroscopy 107, 227 (2007).
[Crossref]

J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, Phys. Rev. Lett. 98, 034801 (2007).
[Crossref]

X. Llopart, R. Ballabriga, M. Campbell, L. Tlustos, and W. Wong, Nucl. Instrum. Methods Phys. Res. A 581, 485 (2007).
[Crossref]

2006 (1)

1993 (1)

B. L. Henke, E. M. Gullikson, and J. C. Davis, At. Data Nucl. Data Tables 54, 181 (1993).
[Crossref]

1989 (1)

B. McCallum and R. Bates, J. Mod. Opt. 36, 619 (1989).
[Crossref]

1982 (1)

1970 (1)

R. Hegerl and W. Hoppe, Berichte Der Bunsen-Gesellschaft Fur Physikalische Chemie 74, 1148 (1970).

1948 (1)

Allen, L. J.

C. T. Putkunz, A. J. D’Alfonso, A. J. Morgan, M. Weyland, C. Dwyer, L. Bourgeois, J. Etheridge, A. Roberts, R. E. Scholten, K. A. Nugent, and L. J. Allen, Phys. Rev. Lett. 108, 073901 (2012).
[Crossref]

Baez, A. V.

Ballabriga, R.

X. Llopart, R. Ballabriga, M. Campbell, L. Tlustos, and W. Wong, Nucl. Instrum. Methods Phys. Res. A 581, 485 (2007).
[Crossref]

Barty, A.

Bates, R.

B. McCallum and R. Bates, J. Mod. Opt. 36, 619 (1989).
[Crossref]

Batey, D. J.

T. B. Edo, D. J. Batey, A. M. Maiden, C. Rau, U. Wagner, Z. D. Pešić, T. A. Waigh, and J. M. Rodenburg, Phys. Rev. A 87, 053850 (2013).
[Crossref]

Beerlink, A.

K. Giewekemeyer, P. Thibault, S. Kalbfleisch, A. Beerlink, C. M. Kewish, M. Dierolf, F. Pfeiffer, and T. Salditt, Proc. Natl. Acad. Sci. USA 107, 529 (2010).
[Crossref]

Beetz, T.

Bourgeois, L.

C. T. Putkunz, A. J. D’Alfonso, A. J. Morgan, M. Weyland, C. Dwyer, L. Bourgeois, J. Etheridge, A. Roberts, R. E. Scholten, K. A. Nugent, and L. J. Allen, Phys. Rev. Lett. 108, 073901 (2012).
[Crossref]

Bruley, J.

S. O. Hruszkewycz, M. V. Holt, C. E. Murray, J. Bruley, J. Holt, A. Tripathi, O. G. Shpyrko, I. McNulty, M. J. Highland, and P. H. Fuoss, Nano Lett. 12, 5148 (2012).
[Crossref]

Bunk, O.

M. Guizar-Sicairos, I. Johnson, A. Diaz, M. Holler, P. Karvinen, H.-C. Stadler, R. Dinapoli, O. Bunk, and A. Menzel, Opt. Express 22, 14859 (2014).
[Crossref]

M. Dierolf, A. Menzel, P. Thibault, P. Schneider, C. M. Kewish, R. Wepf, O. Bunk, and F. Pfeiffer, Nature 467, 436 (2010).
[Crossref]

P. Thibault, M. Dierolf, A. Menzel, O. Bunk, C. David, and F. Pfeiffer, Science 321, 379 (2008).
[Crossref]

J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, Phys. Rev. Lett. 98, 034801 (2007).
[Crossref]

Campbell, M.

X. Llopart, R. Ballabriga, M. Campbell, L. Tlustos, and W. Wong, Nucl. Instrum. Methods Phys. Res. A 581, 485 (2007).
[Crossref]

Chapman, H. N.

Clark, J. N.

Cloetens, P.

B. Enders, M. Dierolf, P. Cloetens, M. Stockmar, F. Pfeiffer, and P. Thibault, Appl. Phys. Lett. 104, 171104 (2014).
[Crossref]

Cui, C.

Cullis, A. G.

J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, Phys. Rev. Lett. 98, 034801 (2007).
[Crossref]

J. M. Rodenburg, A. C. Hurst, and A. G. Cullis, Ultramicroscopy 107, 227 (2007).
[Crossref]

Curwood, E.

D’Alfonso, A. J.

C. T. Putkunz, A. J. D’Alfonso, A. J. Morgan, M. Weyland, C. Dwyer, L. Bourgeois, J. Etheridge, A. Roberts, R. E. Scholten, K. A. Nugent, and L. J. Allen, Phys. Rev. Lett. 108, 073901 (2012).
[Crossref]

David, C.

P. Thibault, M. Dierolf, A. Menzel, O. Bunk, C. David, and F. Pfeiffer, Science 321, 379 (2008).
[Crossref]

J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, Phys. Rev. Lett. 98, 034801 (2007).
[Crossref]

Davis, J. C.

B. L. Henke, E. M. Gullikson, and J. C. Davis, At. Data Nucl. Data Tables 54, 181 (1993).
[Crossref]

Diaz, A.

Dierolf, M.

B. Enders, M. Dierolf, P. Cloetens, M. Stockmar, F. Pfeiffer, and P. Thibault, Appl. Phys. Lett. 104, 171104 (2014).
[Crossref]

M. Dierolf, A. Menzel, P. Thibault, P. Schneider, C. M. Kewish, R. Wepf, O. Bunk, and F. Pfeiffer, Nature 467, 436 (2010).
[Crossref]

K. Giewekemeyer, P. Thibault, S. Kalbfleisch, A. Beerlink, C. M. Kewish, M. Dierolf, F. Pfeiffer, and T. Salditt, Proc. Natl. Acad. Sci. USA 107, 529 (2010).
[Crossref]

P. Thibault, M. Dierolf, A. Menzel, O. Bunk, C. David, and F. Pfeiffer, Science 321, 379 (2008).
[Crossref]

Dinapoli, R.

Dobson, B. R.

J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, Phys. Rev. Lett. 98, 034801 (2007).
[Crossref]

Dwyer, C.

C. T. Putkunz, A. J. D’Alfonso, A. J. Morgan, M. Weyland, C. Dwyer, L. Bourgeois, J. Etheridge, A. Roberts, R. E. Scholten, K. A. Nugent, and L. J. Allen, Phys. Rev. Lett. 108, 073901 (2012).
[Crossref]

Edo, T. B.

T. B. Edo, D. J. Batey, A. M. Maiden, C. Rau, U. Wagner, Z. D. Pešić, T. A. Waigh, and J. M. Rodenburg, Phys. Rev. A 87, 053850 (2013).
[Crossref]

Enders, B.

B. Enders, M. Dierolf, P. Cloetens, M. Stockmar, F. Pfeiffer, and P. Thibault, Appl. Phys. Lett. 104, 171104 (2014).
[Crossref]

Etheridge, J.

C. T. Putkunz, A. J. D’Alfonso, A. J. Morgan, M. Weyland, C. Dwyer, L. Bourgeois, J. Etheridge, A. Roberts, R. E. Scholten, K. A. Nugent, and L. J. Allen, Phys. Rev. Lett. 108, 073901 (2012).
[Crossref]

Fienup, J. R.

Flewett, S.

Fuoss, P. H.

S. O. Hruszkewycz, M. V. Holt, C. E. Murray, J. Bruley, J. Holt, A. Tripathi, O. G. Shpyrko, I. McNulty, M. J. Highland, and P. H. Fuoss, Nano Lett. 12, 5148 (2012).
[Crossref]

Giewekemeyer, K.

K. Giewekemeyer, P. Thibault, S. Kalbfleisch, A. Beerlink, C. M. Kewish, M. Dierolf, F. Pfeiffer, and T. Salditt, Proc. Natl. Acad. Sci. USA 107, 529 (2010).
[Crossref]

Guizar-Sicairos, M.

Gullikson, E. M.

B. L. Henke, E. M. Gullikson, and J. C. Davis, At. Data Nucl. Data Tables 54, 181 (1993).
[Crossref]

Harder, R. J.

J. N. Clark, X. Huang, R. J. Harder, and I. K. Robinson, Phys. Rev. Lett. 112, 113901 (2014).
[Crossref]

Hau-Riege, S. P.

He, H.

Hegerl, R.

R. Hegerl and W. Hoppe, Berichte Der Bunsen-Gesellschaft Fur Physikalische Chemie 74, 1148 (1970).

Henke, B. L.

B. L. Henke, E. M. Gullikson, and J. C. Davis, At. Data Nucl. Data Tables 54, 181 (1993).
[Crossref]

Highland, M. J.

S. O. Hruszkewycz, M. V. Holt, C. E. Murray, J. Bruley, J. Holt, A. Tripathi, O. G. Shpyrko, I. McNulty, M. J. Highland, and P. H. Fuoss, Nano Lett. 12, 5148 (2012).
[Crossref]

Holler, M.

Holt, J.

S. O. Hruszkewycz, M. V. Holt, C. E. Murray, J. Bruley, J. Holt, A. Tripathi, O. G. Shpyrko, I. McNulty, M. J. Highland, and P. H. Fuoss, Nano Lett. 12, 5148 (2012).
[Crossref]

Holt, M. V.

S. O. Hruszkewycz, M. V. Holt, C. E. Murray, J. Bruley, J. Holt, A. Tripathi, O. G. Shpyrko, I. McNulty, M. J. Highland, and P. H. Fuoss, Nano Lett. 12, 5148 (2012).
[Crossref]

Hoppe, W.

R. Hegerl and W. Hoppe, Berichte Der Bunsen-Gesellschaft Fur Physikalische Chemie 74, 1148 (1970).

Howells, M. R.

Hruszkewycz, S. O.

S. O. Hruszkewycz, M. V. Holt, C. E. Murray, J. Bruley, J. Holt, A. Tripathi, O. G. Shpyrko, I. McNulty, M. J. Highland, and P. H. Fuoss, Nano Lett. 12, 5148 (2012).
[Crossref]

Huang, X.

J. N. Clark, X. Huang, R. J. Harder, and I. K. Robinson, Phys. Rev. Lett. 112, 113901 (2014).
[Crossref]

Humphry, M. J.

A. M. Maiden, M. J. Humphry, and J. M. Rodenburg, J. Opt. Soc. Am. A 29, 1606 (2012).
[Crossref]

M. J. Humphry, B. Kraus, A. C. Hurst, A. M. Maiden, and J. M. Rodenburg, Nat. Commun. 3, 730 (2012).
[Crossref]

Hurst, A. C.

M. J. Humphry, B. Kraus, A. C. Hurst, A. M. Maiden, and J. M. Rodenburg, Nat. Commun. 3, 730 (2012).
[Crossref]

J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, Phys. Rev. Lett. 98, 034801 (2007).
[Crossref]

J. M. Rodenburg, A. C. Hurst, and A. G. Cullis, Ultramicroscopy 107, 227 (2007).
[Crossref]

Jacobsen, C.

Jefimovs, K.

J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, Phys. Rev. Lett. 98, 034801 (2007).
[Crossref]

Johnson, I.

M. Guizar-Sicairos, I. Johnson, A. Diaz, M. Holler, P. Karvinen, H.-C. Stadler, R. Dinapoli, O. Bunk, and A. Menzel, Opt. Express 22, 14859 (2014).
[Crossref]

J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, Phys. Rev. Lett. 98, 034801 (2007).
[Crossref]

Kalbfleisch, S.

K. Giewekemeyer, P. Thibault, S. Kalbfleisch, A. Beerlink, C. M. Kewish, M. Dierolf, F. Pfeiffer, and T. Salditt, Proc. Natl. Acad. Sci. USA 107, 529 (2010).
[Crossref]

Karvinen, P.

Kewish, C. M.

K. Giewekemeyer, P. Thibault, S. Kalbfleisch, A. Beerlink, C. M. Kewish, M. Dierolf, F. Pfeiffer, and T. Salditt, Proc. Natl. Acad. Sci. USA 107, 529 (2010).
[Crossref]

M. Dierolf, A. Menzel, P. Thibault, P. Schneider, C. M. Kewish, R. Wepf, O. Bunk, and F. Pfeiffer, Nature 467, 436 (2010).
[Crossref]

Kirkpatrick, P.

Kraus, B.

M. J. Humphry, B. Kraus, A. C. Hurst, A. M. Maiden, and J. M. Rodenburg, Nat. Commun. 3, 730 (2012).
[Crossref]

Llopart, X.

X. Llopart, R. Ballabriga, M. Campbell, L. Tlustos, and W. Wong, Nucl. Instrum. Methods Phys. Res. A 581, 485 (2007).
[Crossref]

Maiden, A. M.

T. B. Edo, D. J. Batey, A. M. Maiden, C. Rau, U. Wagner, Z. D. Pešić, T. A. Waigh, and J. M. Rodenburg, Phys. Rev. A 87, 053850 (2013).
[Crossref]

M. J. Humphry, B. Kraus, A. C. Hurst, A. M. Maiden, and J. M. Rodenburg, Nat. Commun. 3, 730 (2012).
[Crossref]

A. M. Maiden, M. J. Humphry, and J. M. Rodenburg, J. Opt. Soc. Am. A 29, 1606 (2012).
[Crossref]

Marchesini, S.

McCallum, B.

B. McCallum and R. Bates, J. Mod. Opt. 36, 619 (1989).
[Crossref]

McNulty, I.

S. O. Hruszkewycz, M. V. Holt, C. E. Murray, J. Bruley, J. Holt, A. Tripathi, O. G. Shpyrko, I. McNulty, M. J. Highland, and P. H. Fuoss, Nano Lett. 12, 5148 (2012).
[Crossref]

J. N. Clark, C. T. Putkunz, E. Curwood, R. E. Scholten, I. McNulty, K. A. Nugent, and A. G. Peele, Opt. Lett. 36, 1954 (2011).
[Crossref]

Menzel, A.

M. Guizar-Sicairos, I. Johnson, A. Diaz, M. Holler, P. Karvinen, H.-C. Stadler, R. Dinapoli, O. Bunk, and A. Menzel, Opt. Express 22, 14859 (2014).
[Crossref]

P. Thibault and A. Menzel, Nature 494, 68 (2013).
[Crossref]

M. Dierolf, A. Menzel, P. Thibault, P. Schneider, C. M. Kewish, R. Wepf, O. Bunk, and F. Pfeiffer, Nature 467, 436 (2010).
[Crossref]

P. Thibault, M. Dierolf, A. Menzel, O. Bunk, C. David, and F. Pfeiffer, Science 321, 379 (2008).
[Crossref]

Morgan, A. J.

C. T. Putkunz, A. J. D’Alfonso, A. J. Morgan, M. Weyland, C. Dwyer, L. Bourgeois, J. Etheridge, A. Roberts, R. E. Scholten, K. A. Nugent, and L. J. Allen, Phys. Rev. Lett. 108, 073901 (2012).
[Crossref]

Murray, C. E.

S. O. Hruszkewycz, M. V. Holt, C. E. Murray, J. Bruley, J. Holt, A. Tripathi, O. G. Shpyrko, I. McNulty, M. J. Highland, and P. H. Fuoss, Nano Lett. 12, 5148 (2012).
[Crossref]

Noy, A.

Nugent, K. A.

C. T. Putkunz, A. J. D’Alfonso, A. J. Morgan, M. Weyland, C. Dwyer, L. Bourgeois, J. Etheridge, A. Roberts, R. E. Scholten, K. A. Nugent, and L. J. Allen, Phys. Rev. Lett. 108, 073901 (2012).
[Crossref]

J. N. Clark, C. T. Putkunz, E. Curwood, R. E. Scholten, I. McNulty, K. A. Nugent, and A. G. Peele, Opt. Lett. 36, 1954 (2011).
[Crossref]

S. Flewett, H. M. Quiney, C. Q. Tran, and K. A. Nugent, Opt. Lett. 34, 2198 (2009).
[Crossref]

Paganin, D. M.

D. M. Paganin, Coherent X-ray Optics (Oxford University, 2006).

Peele, A. G.

Pešic, Z. D.

T. B. Edo, D. J. Batey, A. M. Maiden, C. Rau, U. Wagner, Z. D. Pešić, T. A. Waigh, and J. M. Rodenburg, Phys. Rev. A 87, 053850 (2013).
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Pfeiffer, F.

B. Enders, M. Dierolf, P. Cloetens, M. Stockmar, F. Pfeiffer, and P. Thibault, Appl. Phys. Lett. 104, 171104 (2014).
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M. Dierolf, A. Menzel, P. Thibault, P. Schneider, C. M. Kewish, R. Wepf, O. Bunk, and F. Pfeiffer, Nature 467, 436 (2010).
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K. Giewekemeyer, P. Thibault, S. Kalbfleisch, A. Beerlink, C. M. Kewish, M. Dierolf, F. Pfeiffer, and T. Salditt, Proc. Natl. Acad. Sci. USA 107, 529 (2010).
[Crossref]

P. Thibault, M. Dierolf, A. Menzel, O. Bunk, C. David, and F. Pfeiffer, Science 321, 379 (2008).
[Crossref]

J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, Phys. Rev. Lett. 98, 034801 (2007).
[Crossref]

Putkunz, C. T.

C. T. Putkunz, A. J. D’Alfonso, A. J. Morgan, M. Weyland, C. Dwyer, L. Bourgeois, J. Etheridge, A. Roberts, R. E. Scholten, K. A. Nugent, and L. J. Allen, Phys. Rev. Lett. 108, 073901 (2012).
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J. N. Clark, C. T. Putkunz, E. Curwood, R. E. Scholten, I. McNulty, K. A. Nugent, and A. G. Peele, Opt. Lett. 36, 1954 (2011).
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Quiney, H. M.

Rau, C.

T. B. Edo, D. J. Batey, A. M. Maiden, C. Rau, U. Wagner, Z. D. Pešić, T. A. Waigh, and J. M. Rodenburg, Phys. Rev. A 87, 053850 (2013).
[Crossref]

Roberts, A.

C. T. Putkunz, A. J. D’Alfonso, A. J. Morgan, M. Weyland, C. Dwyer, L. Bourgeois, J. Etheridge, A. Roberts, R. E. Scholten, K. A. Nugent, and L. J. Allen, Phys. Rev. Lett. 108, 073901 (2012).
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Robinson, I. K.

J. N. Clark, X. Huang, R. J. Harder, and I. K. Robinson, Phys. Rev. Lett. 112, 113901 (2014).
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Rodenburg, J. M.

T. B. Edo, D. J. Batey, A. M. Maiden, C. Rau, U. Wagner, Z. D. Pešić, T. A. Waigh, and J. M. Rodenburg, Phys. Rev. A 87, 053850 (2013).
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M. J. Humphry, B. Kraus, A. C. Hurst, A. M. Maiden, and J. M. Rodenburg, Nat. Commun. 3, 730 (2012).
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A. M. Maiden, M. J. Humphry, and J. M. Rodenburg, J. Opt. Soc. Am. A 29, 1606 (2012).
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J. M. Rodenburg, A. C. Hurst, and A. G. Cullis, Ultramicroscopy 107, 227 (2007).
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J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, Phys. Rev. Lett. 98, 034801 (2007).
[Crossref]

Rosen, R.

Salditt, T.

R. N. Wilke, M. Vassholz, and T. Salditt, Acta Crystallogr. Sect. A 69, 490 (2013).
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K. Giewekemeyer, P. Thibault, S. Kalbfleisch, A. Beerlink, C. M. Kewish, M. Dierolf, F. Pfeiffer, and T. Salditt, Proc. Natl. Acad. Sci. USA 107, 529 (2010).
[Crossref]

Schneider, P.

M. Dierolf, A. Menzel, P. Thibault, P. Schneider, C. M. Kewish, R. Wepf, O. Bunk, and F. Pfeiffer, Nature 467, 436 (2010).
[Crossref]

Scholten, R. E.

C. T. Putkunz, A. J. D’Alfonso, A. J. Morgan, M. Weyland, C. Dwyer, L. Bourgeois, J. Etheridge, A. Roberts, R. E. Scholten, K. A. Nugent, and L. J. Allen, Phys. Rev. Lett. 108, 073901 (2012).
[Crossref]

J. N. Clark, C. T. Putkunz, E. Curwood, R. E. Scholten, I. McNulty, K. A. Nugent, and A. G. Peele, Opt. Lett. 36, 1954 (2011).
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Shapiro, D.

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S. O. Hruszkewycz, M. V. Holt, C. E. Murray, J. Bruley, J. Holt, A. Tripathi, O. G. Shpyrko, I. McNulty, M. J. Highland, and P. H. Fuoss, Nano Lett. 12, 5148 (2012).
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Spence, J. C. H.

Stadler, H.-C.

Stockmar, M.

B. Enders, M. Dierolf, P. Cloetens, M. Stockmar, F. Pfeiffer, and P. Thibault, Appl. Phys. Lett. 104, 171104 (2014).
[Crossref]

Thibault, P.

B. Enders, M. Dierolf, P. Cloetens, M. Stockmar, F. Pfeiffer, and P. Thibault, Appl. Phys. Lett. 104, 171104 (2014).
[Crossref]

P. Thibault and A. Menzel, Nature 494, 68 (2013).
[Crossref]

K. Giewekemeyer, P. Thibault, S. Kalbfleisch, A. Beerlink, C. M. Kewish, M. Dierolf, F. Pfeiffer, and T. Salditt, Proc. Natl. Acad. Sci. USA 107, 529 (2010).
[Crossref]

M. Dierolf, A. Menzel, P. Thibault, P. Schneider, C. M. Kewish, R. Wepf, O. Bunk, and F. Pfeiffer, Nature 467, 436 (2010).
[Crossref]

P. Thibault, M. Dierolf, A. Menzel, O. Bunk, C. David, and F. Pfeiffer, Science 321, 379 (2008).
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Tlustos, L.

X. Llopart, R. Ballabriga, M. Campbell, L. Tlustos, and W. Wong, Nucl. Instrum. Methods Phys. Res. A 581, 485 (2007).
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Tripathi, A.

S. O. Hruszkewycz, M. V. Holt, C. E. Murray, J. Bruley, J. Holt, A. Tripathi, O. G. Shpyrko, I. McNulty, M. J. Highland, and P. H. Fuoss, Nano Lett. 12, 5148 (2012).
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Vassholz, M.

R. N. Wilke, M. Vassholz, and T. Salditt, Acta Crystallogr. Sect. A 69, 490 (2013).
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Wagner, U.

T. B. Edo, D. J. Batey, A. M. Maiden, C. Rau, U. Wagner, Z. D. Pešić, T. A. Waigh, and J. M. Rodenburg, Phys. Rev. A 87, 053850 (2013).
[Crossref]

Waigh, T. A.

T. B. Edo, D. J. Batey, A. M. Maiden, C. Rau, U. Wagner, Z. D. Pešić, T. A. Waigh, and J. M. Rodenburg, Phys. Rev. A 87, 053850 (2013).
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Weierstall, U.

Wepf, R.

M. Dierolf, A. Menzel, P. Thibault, P. Schneider, C. M. Kewish, R. Wepf, O. Bunk, and F. Pfeiffer, Nature 467, 436 (2010).
[Crossref]

Weyland, M.

C. T. Putkunz, A. J. D’Alfonso, A. J. Morgan, M. Weyland, C. Dwyer, L. Bourgeois, J. Etheridge, A. Roberts, R. E. Scholten, K. A. Nugent, and L. J. Allen, Phys. Rev. Lett. 108, 073901 (2012).
[Crossref]

Wilke, R. N.

R. N. Wilke, M. Vassholz, and T. Salditt, Acta Crystallogr. Sect. A 69, 490 (2013).
[Crossref]

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Wong, W.

X. Llopart, R. Ballabriga, M. Campbell, L. Tlustos, and W. Wong, Nucl. Instrum. Methods Phys. Res. A 581, 485 (2007).
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Acta Crystallogr. Sect. A (1)

R. N. Wilke, M. Vassholz, and T. Salditt, Acta Crystallogr. Sect. A 69, 490 (2013).
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Appl. Phys. Lett. (1)

B. Enders, M. Dierolf, P. Cloetens, M. Stockmar, F. Pfeiffer, and P. Thibault, Appl. Phys. Lett. 104, 171104 (2014).
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R. Hegerl and W. Hoppe, Berichte Der Bunsen-Gesellschaft Fur Physikalische Chemie 74, 1148 (1970).

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B. McCallum and R. Bates, J. Mod. Opt. 36, 619 (1989).
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J. Opt. Soc. Am. (2)

J. Opt. Soc. Am. A (2)

Nano Lett. (1)

S. O. Hruszkewycz, M. V. Holt, C. E. Murray, J. Bruley, J. Holt, A. Tripathi, O. G. Shpyrko, I. McNulty, M. J. Highland, and P. H. Fuoss, Nano Lett. 12, 5148 (2012).
[Crossref]

Nat. Commun. (1)

M. J. Humphry, B. Kraus, A. C. Hurst, A. M. Maiden, and J. M. Rodenburg, Nat. Commun. 3, 730 (2012).
[Crossref]

Nature (2)

M. Dierolf, A. Menzel, P. Thibault, P. Schneider, C. M. Kewish, R. Wepf, O. Bunk, and F. Pfeiffer, Nature 467, 436 (2010).
[Crossref]

P. Thibault and A. Menzel, Nature 494, 68 (2013).
[Crossref]

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

X. Llopart, R. Ballabriga, M. Campbell, L. Tlustos, and W. Wong, Nucl. Instrum. Methods Phys. Res. A 581, 485 (2007).
[Crossref]

Opt. Express (2)

Opt. Lett. (2)

Phys. Rev. A (1)

T. B. Edo, D. J. Batey, A. M. Maiden, C. Rau, U. Wagner, Z. D. Pešić, T. A. Waigh, and J. M. Rodenburg, Phys. Rev. A 87, 053850 (2013).
[Crossref]

Phys. Rev. Lett. (3)

J. N. Clark, X. Huang, R. J. Harder, and I. K. Robinson, Phys. Rev. Lett. 112, 113901 (2014).
[Crossref]

C. T. Putkunz, A. J. D’Alfonso, A. J. Morgan, M. Weyland, C. Dwyer, L. Bourgeois, J. Etheridge, A. Roberts, R. E. Scholten, K. A. Nugent, and L. J. Allen, Phys. Rev. Lett. 108, 073901 (2012).
[Crossref]

J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, Phys. Rev. Lett. 98, 034801 (2007).
[Crossref]

Proc. Natl. Acad. Sci. USA (1)

K. Giewekemeyer, P. Thibault, S. Kalbfleisch, A. Beerlink, C. M. Kewish, M. Dierolf, F. Pfeiffer, and T. Salditt, Proc. Natl. Acad. Sci. USA 107, 529 (2010).
[Crossref]

Science (1)

P. Thibault, M. Dierolf, A. Menzel, O. Bunk, C. David, and F. Pfeiffer, Science 321, 379 (2008).
[Crossref]

Ultramicroscopy (1)

J. M. Rodenburg, A. C. Hurst, and A. G. Cullis, Ultramicroscopy 107, 227 (2007).
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Other (1)

D. M. Paganin, Coherent X-ray Optics (Oxford University, 2006).

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Figures (3)

Fig. 1.
Fig. 1. (a) Conventional ptychography uses data collected with discrete translations r j . (b) For a continuously scanned sample with constant velocity v , the diffraction data will be made up of the positions that occupy a length | v | T around the scan positions r j due to an integration time of T . (c) The continuous scan can be discretized with steps separated by a small distance v Δ t . (d) Mode power for the first five orthogonal modes ( n ) calculated using different numbers ( N ) of simulated translated probes, but with the same maximum translation ( σ l ). The number of relevant modes is relatively insensitive to the number of translated positions but depends on the apparent coherence length.
Fig. 2.
Fig. 2. (a) Reconstructed object phase assuming full coherence (1 mode, left) and partial coherence (five modes, right) for the original data. (b) Reconstruction using new positions that consist of summing four adjacent positions (over 400 nm horizontally), approximating a continuously scanned sample. The reconstruction assuming full coherence (left) is degraded compared to (a) but shows improvement when assuming partial coherence (right). This is also shown for a larger ((d), seven positions, 700 nm) level of summing, which would be equivalent to an increased scanning speed. With the increasing number of positions the reconstructions degrade (left) when the apparent reduction in spatial coherence is not taken into account. The scale bar is 1 μm.
Fig. 3.
Fig. 3. Increase in position summing ( 1 7 ) results in a decrease in the power contained in the primary mode ( n = 1 ), while the higher-order modes ( n 2 ) show a commensurate increase in relative power. The three modes with the most power are shown for the original dataset and the × 7 summing. The scale bar is 1 μm.

Equations (4)

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I j ( q ) = | P z [ P ( r ) O ( r + r j ) ] | 2 ,
I j ( q ) = t 1 t 2 | P z [ P ( r ) O ( r + r j + v t ) ] | 2 d t ,
I j ( q ) = n = 0 N 1 Δ t | P z [ P ( r ) O ( r + r j + v n Δ t ) ] | 2 .
I j ( q ) = n = 0 N 1 Δ t | P z [ P ( r r n ) O ( r + r j ) ] | 2 ,

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