Abstract

Continuous-wave terahertz ptychography is a promising large field-of-view lensless terahertz phase imaging method. Inaccurate probe positions would severely degrade the reconstruction quality, as compared to other spectral bands. In this paper, we propose a probe position correction method based on cross-correlation registration on overlapped regions of the object wavefront for terahertz ptychography. The translation errors could be minimized in the order of 0.01 pixels. The simulation results suggest good computational efficiency, correction, and reconstruction accuracy. We perform continuous-wave terahertz ptychography on a cicada’s forewing. The subcosta and the first radius vein are distinguished after position correction. The probe position distribution reveals that the tilt angle between the object plane and the recording plane is 0.26°.

© 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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References

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2018 (4)

L. Valzania, T. Feurer, P. Zolliker, and E. Hack, “Terahertz ptychography,” Opt. Lett. 43(3), 543–546 (2018).
[Crossref] [PubMed]

P. Dwivedi, A. P. Konijnenberg, S. F. Pereira, and H. P. Urbach, “Lateral position correction in ptychography using the gradient of intensity patterns,” Ultramicroscopy 192, 29–36 (2018).
[Crossref] [PubMed]

F. Guzzi, G. Kourousias, F. Billè, R. Pugliese, C. Reis, A. Gianoncelli, and S. Carrato, “Refining scan positions in Ptychography through error minimisation and potential application of Machine Learning,” J. Instrum. 13(6), C06002 (2018).
[Crossref]

P. Dwivedi, A. P. Konijnenberg, S. F. Pereira, and H. P. Urbach, “An alternative method to correct translation positions in ptychography,” Proc. SPIE 10677, 106772A (2018).

2017 (1)

J. Oh, C. E. Dana, S. Hong, J. K. Román, K. D. Jo, J. W. Hong, J. Nguyen, D. M. Cropek, M. Alleyne, and N. Miljkovic, “Exploring the role of habitat on the wettability of cicada wings,” ACS Appl. Mater. Interfaces 9(32), 27173–27184 (2017).
[Crossref] [PubMed]

2016 (2)

P. Hessing, B. Pfau, E. Guehrs, M. Schneider, L. Shemilt, J. Geilhufe, and S. Eisebitt, “Holography-guided ptychography with soft X-rays,” Opt. Express 24(2), 1840–1851 (2016).
[Crossref] [PubMed]

A. P. Konijnenberg, W. M. J. Coene, S. F. Pereira, and H. P. Urbach, “Combining ptychographical algorithms with the Hybrid Input-Output (HIO) algorithm,” Ultramicroscopy 171, 43–54 (2016).
[Crossref] [PubMed]

2015 (4)

L. Rong, T. Latychevskaia, C. Chen, D. Wang, Z. Yu, X. Zhou, Z. Li, H. Huang, Y. Wang, and Z. Zhou, “Terahertz in-line digital holography of human hepatocellular carcinoma tissue,” Sci. Rep. 5(1), 8445 (2015).
[Crossref] [PubMed]

P. Zolliker and E. Hack, “THz holography in reflection using a high resolution microbolometer array,” Opt. Express 23(9), 10957–10967 (2015).
[Crossref] [PubMed]

M. Locatelli, M. Ravaro, S. Bartalini, L. Consolino, M. S. Vitiello, R. Cicchi, F. Pavone, and P. De Natale, “Real-time terahertz digital holography with a quantum cascade laser,” Sci. Rep. 5(1), 13566 (2015).
[Crossref] [PubMed]

H. Huang, D. Wang, L. Rong, X. Zhou, Z. Li, and Y. Wang, “Application of autofocusing methods in continuous-wave terahertz in-line digital holography,” Opt. Commun. 346, 93–98 (2015).
[Crossref]

2014 (2)

2013 (4)

2012 (1)

A. M. Maiden, M. J. Humphry, M. C. Sarahan, B. Kraus, and J. M. Rodenburg, “An annealing algorithm to correct positioning errors in ptychography,” Ultramicroscopy 120(5), 64–72 (2012).
[Crossref] [PubMed]

2011 (5)

2010 (3)

F. Hüe, J. M. Rodenburg, A. M. Maiden, F. Sweeney, and P. A. Midgley, “Wave-front phase retrieval in transmission electron microscopy via ptychography,” Phys. Rev. B 82(12), 121415 (2010).

A. C. Hurst, T. B. Edo, T. Walther, F. Sweeney, and J. M. Rodenburg, “Probe position recovery for ptychographical imaging,” J. Phys. Conf. Ser. 241, 012004 (2010).
[Crossref]

M. Dierolf, P. Thibault, A. Menzel, C. M. Kewish, K. Jefimovs, I. Schlichting, K. V. König, O. Bunk, and F. Pfeiffer, “Ptychographic coherent diffractive imaging of weakly scattering specimens,” New J. Phys. 12(3), 35017 (2010).
[Crossref]

2009 (2)

P. Thibault, M. Dierolf, O. Bunk, A. Menzel, and F. Pfeiffer, “Probe retrieval in ptychographic coherent diffractive imaging,” Ultramicroscopy 109(4), 338–343 (2009).
[Crossref] [PubMed]

A. M. Maiden and J. M. Rodenburg, “An improved ptychographical phase retrieval algorithm for diffractive imaging,” Ultramicroscopy 109(10), 1256–1262 (2009).
[Crossref] [PubMed]

2008 (3)

2007 (3)

J. M. Rodenburg, A. C. Hurst, and A. G. Cullis, “Transmission microscopy without lenses for objects of unlimited size,” Ultramicroscopy 107(2-3), 227–231 (2007).
[Crossref] [PubMed]

J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, “Hard-x-ray lensless imaging of extended objects,” Phys. Rev. Lett. 98(3), 034801 (2007).
[Crossref] [PubMed]

T. Latychevskaia and H.-W. Fink, “Solution to the twin image problem in holography,” Phys. Rev. Lett. 98(23), 233901 (2007).
[Crossref] [PubMed]

2005 (2)

H. M. L. Faulkner and J. M. Rodenburg, “Error tolerance of an iterative phase retrieval algorithm for moveable illumination microscopy,” Ultramicroscopy 103(2), 153–164 (2005).
[Crossref] [PubMed]

Y. Suzuki, A. Takeuchi, H. Takano, and H. Takenaka, “Performance test of Fresnel zone plate with 50 nm outermost zone width in hard X-ray region,” Jpn. J. Appl. Phys. 44(4A), 1994–1998 (2005).
[Crossref]

2004 (3)

Z. Wang, A. C. Bovik, H. R. Sheikh, and E. P. Simoncelli, “Image quality assessment: from error visibility to structural similarity,” IEEE Trans. Image Process. 13(4), 600–612 (2004).
[Crossref] [PubMed]

H. M. L. Faulkner and J. M. Rodenburg, “Movable aperture lensless transmission microscopy: a novel phase retrieval algorithm,” Phys. Rev. Lett. 93(2), 023903 (2004).
[Crossref] [PubMed]

J. M. Rodenburg and H. M. L. Faulkner, “A phase retrieval algorithm for shifting illumination,” Appl. Phys. Lett. 85(20), 4795–4797 (2004).
[Crossref]

Alleyne, M.

J. Oh, C. E. Dana, S. Hong, J. K. Román, K. D. Jo, J. W. Hong, J. Nguyen, D. M. Cropek, M. Alleyne, and N. Miljkovic, “Exploring the role of habitat on the wettability of cicada wings,” ACS Appl. Mater. Interfaces 9(32), 27173–27184 (2017).
[Crossref] [PubMed]

Bartalini, S.

M. Locatelli, M. Ravaro, S. Bartalini, L. Consolino, M. S. Vitiello, R. Cicchi, F. Pavone, and P. De Natale, “Real-time terahertz digital holography with a quantum cascade laser,” Sci. Rep. 5(1), 13566 (2015).
[Crossref] [PubMed]

Bean, R.

Beckers, M.

M. Beckers, T. Senkbeil, T. Gorniak, K. Giewekemeyer, T. Salditt, and A. Rosenhahn, “Drift correction in ptychographic diffractive imaging,” Ultramicroscopy 126, 44–47 (2013).
[Crossref] [PubMed]

K. Giewekemeyer, M. Beckers, T. Gorniak, M. Grunze, T. Salditt, and A. Rosenhahn, “Ptychographic coherent x-ray diffractive imaging in the water window,” Opt. Express 19(2), 1037–1050 (2011).
[Crossref] [PubMed]

Berenguer, F.

Billè, F.

F. Guzzi, G. Kourousias, F. Billè, R. Pugliese, C. Reis, A. Gianoncelli, and S. Carrato, “Refining scan positions in Ptychography through error minimisation and potential application of Machine Learning,” J. Instrum. 13(6), C06002 (2018).
[Crossref]

Bovik, A. C.

Z. Wang, A. C. Bovik, H. R. Sheikh, and E. P. Simoncelli, “Image quality assessment: from error visibility to structural similarity,” IEEE Trans. Image Process. 13(4), 600–612 (2004).
[Crossref] [PubMed]

Bunk, O.

M. Dierolf, P. Thibault, A. Menzel, C. M. Kewish, K. Jefimovs, I. Schlichting, K. V. König, O. Bunk, and F. Pfeiffer, “Ptychographic coherent diffractive imaging of weakly scattering specimens,” New J. Phys. 12(3), 35017 (2010).
[Crossref]

P. Thibault, M. Dierolf, O. Bunk, A. Menzel, and F. Pfeiffer, “Probe retrieval in ptychographic coherent diffractive imaging,” Ultramicroscopy 109(4), 338–343 (2009).
[Crossref] [PubMed]

O. Bunk, M. Dierolf, S. Kynde, I. Johnson, O. Marti, and F. Pfeiffer, “Influence of the overlap parameter on the convergence of the ptychographical iterative engine,” Ultramicroscopy 108(5), 481–487 (2008).
[Crossref] [PubMed]

J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, “Hard-x-ray lensless imaging of extended objects,” Phys. Rev. Lett. 98(3), 034801 (2007).
[Crossref] [PubMed]

Carrato, S.

F. Guzzi, G. Kourousias, F. Billè, R. Pugliese, C. Reis, A. Gianoncelli, and S. Carrato, “Refining scan positions in Ptychography through error minimisation and potential application of Machine Learning,” J. Instrum. 13(6), C06002 (2018).
[Crossref]

Chen, B.

Chen, C.

L. Rong, T. Latychevskaia, C. Chen, D. Wang, Z. Yu, X. Zhou, Z. Li, H. Huang, Y. Wang, and Z. Zhou, “Terahertz in-line digital holography of human hepatocellular carcinoma tissue,” Sci. Rep. 5(1), 8445 (2015).
[Crossref] [PubMed]

Cicchi, R.

M. Locatelli, M. Ravaro, S. Bartalini, L. Consolino, M. S. Vitiello, R. Cicchi, F. Pavone, and P. De Natale, “Real-time terahertz digital holography with a quantum cascade laser,” Sci. Rep. 5(1), 13566 (2015).
[Crossref] [PubMed]

Coene, W. M. J.

A. P. Konijnenberg, W. M. J. Coene, S. F. Pereira, and H. P. Urbach, “Combining ptychographical algorithms with the Hybrid Input-Output (HIO) algorithm,” Ultramicroscopy 171, 43–54 (2016).
[Crossref] [PubMed]

Consolino, L.

M. Locatelli, M. Ravaro, S. Bartalini, L. Consolino, M. S. Vitiello, R. Cicchi, F. Pavone, and P. De Natale, “Real-time terahertz digital holography with a quantum cascade laser,” Sci. Rep. 5(1), 13566 (2015).
[Crossref] [PubMed]

Cropek, D. M.

J. Oh, C. E. Dana, S. Hong, J. K. Román, K. D. Jo, J. W. Hong, J. Nguyen, D. M. Cropek, M. Alleyne, and N. Miljkovic, “Exploring the role of habitat on the wettability of cicada wings,” ACS Appl. Mater. Interfaces 9(32), 27173–27184 (2017).
[Crossref] [PubMed]

Cullis, A. G.

J. M. Rodenburg, A. C. Hurst, and A. G. Cullis, “Transmission microscopy without lenses for objects of unlimited size,” Ultramicroscopy 107(2-3), 227–231 (2007).
[Crossref] [PubMed]

J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, “Hard-x-ray lensless imaging of extended objects,” Phys. Rev. Lett. 98(3), 034801 (2007).
[Crossref] [PubMed]

Dana, C. E.

J. Oh, C. E. Dana, S. Hong, J. K. Román, K. D. Jo, J. W. Hong, J. Nguyen, D. M. Cropek, M. Alleyne, and N. Miljkovic, “Exploring the role of habitat on the wettability of cicada wings,” ACS Appl. Mater. Interfaces 9(32), 27173–27184 (2017).
[Crossref] [PubMed]

David, C.

J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, “Hard-x-ray lensless imaging of extended objects,” Phys. Rev. Lett. 98(3), 034801 (2007).
[Crossref] [PubMed]

De Natale, P.

M. Locatelli, M. Ravaro, S. Bartalini, L. Consolino, M. S. Vitiello, R. Cicchi, F. Pavone, and P. De Natale, “Real-time terahertz digital holography with a quantum cascade laser,” Sci. Rep. 5(1), 13566 (2015).
[Crossref] [PubMed]

Diaz, A.

Dierolf, M.

M. Dierolf, P. Thibault, A. Menzel, C. M. Kewish, K. Jefimovs, I. Schlichting, K. V. König, O. Bunk, and F. Pfeiffer, “Ptychographic coherent diffractive imaging of weakly scattering specimens,” New J. Phys. 12(3), 35017 (2010).
[Crossref]

P. Thibault, M. Dierolf, O. Bunk, A. Menzel, and F. Pfeiffer, “Probe retrieval in ptychographic coherent diffractive imaging,” Ultramicroscopy 109(4), 338–343 (2009).
[Crossref] [PubMed]

O. Bunk, M. Dierolf, S. Kynde, I. Johnson, O. Marti, and F. Pfeiffer, “Influence of the overlap parameter on the convergence of the ptychographical iterative engine,” Ultramicroscopy 108(5), 481–487 (2008).
[Crossref] [PubMed]

Ding, S. H.

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, “Hard-x-ray lensless imaging of extended objects,” Phys. Rev. Lett. 98(3), 034801 (2007).
[Crossref] [PubMed]

Dwivedi, P.

P. Dwivedi, A. P. Konijnenberg, S. F. Pereira, and H. P. Urbach, “Lateral position correction in ptychography using the gradient of intensity patterns,” Ultramicroscopy 192, 29–36 (2018).
[Crossref] [PubMed]

P. Dwivedi, A. P. Konijnenberg, S. F. Pereira, and H. P. Urbach, “An alternative method to correct translation positions in ptychography,” Proc. SPIE 10677, 106772A (2018).

Edo, T. B.

A. C. Hurst, T. B. Edo, T. Walther, F. Sweeney, and J. M. Rodenburg, “Probe position recovery for ptychographical imaging,” J. Phys. Conf. Ser. 241, 012004 (2010).
[Crossref]

Eisebitt, S.

Faulkner, H. M. L.

H. M. L. Faulkner and J. M. Rodenburg, “Error tolerance of an iterative phase retrieval algorithm for moveable illumination microscopy,” Ultramicroscopy 103(2), 153–164 (2005).
[Crossref] [PubMed]

H. M. L. Faulkner and J. M. Rodenburg, “Movable aperture lensless transmission microscopy: a novel phase retrieval algorithm,” Phys. Rev. Lett. 93(2), 023903 (2004).
[Crossref] [PubMed]

J. M. Rodenburg and H. M. L. Faulkner, “A phase retrieval algorithm for shifting illumination,” Appl. Phys. Lett. 85(20), 4795–4797 (2004).
[Crossref]

Feurer, T.

Fienup, J. R.

Fink, H.-W.

T. Latychevskaia and H.-W. Fink, “Solution to the twin image problem in holography,” Phys. Rev. Lett. 98(23), 233901 (2007).
[Crossref] [PubMed]

Geilhufe, J.

Gianoncelli, A.

F. Guzzi, G. Kourousias, F. Billè, R. Pugliese, C. Reis, A. Gianoncelli, and S. Carrato, “Refining scan positions in Ptychography through error minimisation and potential application of Machine Learning,” J. Instrum. 13(6), C06002 (2018).
[Crossref]

Giewekemeyer, K.

M. Beckers, T. Senkbeil, T. Gorniak, K. Giewekemeyer, T. Salditt, and A. Rosenhahn, “Drift correction in ptychographic diffractive imaging,” Ultramicroscopy 126, 44–47 (2013).
[Crossref] [PubMed]

K. Giewekemeyer, M. Beckers, T. Gorniak, M. Grunze, T. Salditt, and A. Rosenhahn, “Ptychographic coherent x-ray diffractive imaging in the water window,” Opt. Express 19(2), 1037–1050 (2011).
[Crossref] [PubMed]

Gorniak, T.

M. Beckers, T. Senkbeil, T. Gorniak, K. Giewekemeyer, T. Salditt, and A. Rosenhahn, “Drift correction in ptychographic diffractive imaging,” Ultramicroscopy 126, 44–47 (2013).
[Crossref] [PubMed]

K. Giewekemeyer, M. Beckers, T. Gorniak, M. Grunze, T. Salditt, and A. Rosenhahn, “Ptychographic coherent x-ray diffractive imaging in the water window,” Opt. Express 19(2), 1037–1050 (2011).
[Crossref] [PubMed]

Grunze, M.

Guehrs, E.

Guizar-Sicairos, M.

Guzzi, F.

F. Guzzi, G. Kourousias, F. Billè, R. Pugliese, C. Reis, A. Gianoncelli, and S. Carrato, “Refining scan positions in Ptychography through error minimisation and potential application of Machine Learning,” J. Instrum. 13(6), C06002 (2018).
[Crossref]

Hack, E.

Hessing, P.

Hong, J. W.

J. Oh, C. E. Dana, S. Hong, J. K. Román, K. D. Jo, J. W. Hong, J. Nguyen, D. M. Cropek, M. Alleyne, and N. Miljkovic, “Exploring the role of habitat on the wettability of cicada wings,” ACS Appl. Mater. Interfaces 9(32), 27173–27184 (2017).
[Crossref] [PubMed]

Hong, S.

J. Oh, C. E. Dana, S. Hong, J. K. Román, K. D. Jo, J. W. Hong, J. Nguyen, D. M. Cropek, M. Alleyne, and N. Miljkovic, “Exploring the role of habitat on the wettability of cicada wings,” ACS Appl. Mater. Interfaces 9(32), 27173–27184 (2017).
[Crossref] [PubMed]

Huang, H.

H. Huang, D. Wang, L. Rong, X. Zhou, Z. Li, and Y. Wang, “Application of autofocusing methods in continuous-wave terahertz in-line digital holography,” Opt. Commun. 346, 93–98 (2015).
[Crossref]

L. Rong, T. Latychevskaia, C. Chen, D. Wang, Z. Yu, X. Zhou, Z. Li, H. Huang, Y. Wang, and Z. Zhou, “Terahertz in-line digital holography of human hepatocellular carcinoma tissue,” Sci. Rep. 5(1), 8445 (2015).
[Crossref] [PubMed]

L. Rong, T. Latychevskaia, D. Wang, X. Zhou, H. Huang, Z. Li, and Y. Wang, “Terahertz in-line digital holography of dragonfly hindwing: amplitude and phase reconstruction at enhanced resolution by extrapolation,” Opt. Express 22(14), 17236–17245 (2014).
[Crossref] [PubMed]

Hüe, F.

F. Hüe, J. M. Rodenburg, A. M. Maiden, F. Sweeney, and P. A. Midgley, “Wave-front phase retrieval in transmission electron microscopy via ptychography,” Phys. Rev. B 82(12), 121415 (2010).

Humphry, M. J.

A. M. Maiden, M. J. Humphry, M. C. Sarahan, B. Kraus, and J. M. Rodenburg, “An annealing algorithm to correct positioning errors in ptychography,” Ultramicroscopy 120(5), 64–72 (2012).
[Crossref] [PubMed]

Hurst, A. C.

A. C. Hurst, T. B. Edo, T. Walther, F. Sweeney, and J. M. Rodenburg, “Probe position recovery for ptychographical imaging,” J. Phys. Conf. Ser. 241, 012004 (2010).
[Crossref]

J. M. Rodenburg, A. C. Hurst, and A. G. Cullis, “Transmission microscopy without lenses for objects of unlimited size,” Ultramicroscopy 107(2-3), 227–231 (2007).
[Crossref] [PubMed]

J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, “Hard-x-ray lensless imaging of extended objects,” Phys. Rev. Lett. 98(3), 034801 (2007).
[Crossref] [PubMed]

Ishikawa, T.

Y. Takahashi, A. Suzuki, N. Zettsu, Y. Kohmura, Y. Senba, H. Ohashi, K. Yamauchi, and T. Ishikawa, “Towards high-resolution ptychographic x-ray diffraction microscopy,” Phys. Rev. B Condens. Matter Mater. Phys. 83(21), 214109 (2011).
[Crossref]

Jefimovs, K.

M. Dierolf, P. Thibault, A. Menzel, C. M. Kewish, K. Jefimovs, I. Schlichting, K. V. König, O. Bunk, and F. Pfeiffer, “Ptychographic coherent diffractive imaging of weakly scattering specimens,” New J. Phys. 12(3), 35017 (2010).
[Crossref]

J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, “Hard-x-ray lensless imaging of extended objects,” Phys. Rev. Lett. 98(3), 034801 (2007).
[Crossref] [PubMed]

Jo, K. D.

J. Oh, C. E. Dana, S. Hong, J. K. Román, K. D. Jo, J. W. Hong, J. Nguyen, D. M. Cropek, M. Alleyne, and N. Miljkovic, “Exploring the role of habitat on the wettability of cicada wings,” ACS Appl. Mater. Interfaces 9(32), 27173–27184 (2017).
[Crossref] [PubMed]

Johnson, I.

O. Bunk, M. Dierolf, S. Kynde, I. Johnson, O. Marti, and F. Pfeiffer, “Influence of the overlap parameter on the convergence of the ptychographical iterative engine,” Ultramicroscopy 108(5), 481–487 (2008).
[Crossref] [PubMed]

J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, “Hard-x-ray lensless imaging of extended objects,” Phys. Rev. Lett. 98(3), 034801 (2007).
[Crossref] [PubMed]

Kewish, C. M.

M. Dierolf, P. Thibault, A. Menzel, C. M. Kewish, K. Jefimovs, I. Schlichting, K. V. König, O. Bunk, and F. Pfeiffer, “Ptychographic coherent diffractive imaging of weakly scattering specimens,” New J. Phys. 12(3), 35017 (2010).
[Crossref]

Kohmura, Y.

Y. Takahashi, A. Suzuki, N. Zettsu, Y. Kohmura, Y. Senba, H. Ohashi, K. Yamauchi, and T. Ishikawa, “Towards high-resolution ptychographic x-ray diffraction microscopy,” Phys. Rev. B Condens. Matter Mater. Phys. 83(21), 214109 (2011).
[Crossref]

König, K. V.

M. Dierolf, P. Thibault, A. Menzel, C. M. Kewish, K. Jefimovs, I. Schlichting, K. V. König, O. Bunk, and F. Pfeiffer, “Ptychographic coherent diffractive imaging of weakly scattering specimens,” New J. Phys. 12(3), 35017 (2010).
[Crossref]

Konijnenberg, A. P.

P. Dwivedi, A. P. Konijnenberg, S. F. Pereira, and H. P. Urbach, “Lateral position correction in ptychography using the gradient of intensity patterns,” Ultramicroscopy 192, 29–36 (2018).
[Crossref] [PubMed]

P. Dwivedi, A. P. Konijnenberg, S. F. Pereira, and H. P. Urbach, “An alternative method to correct translation positions in ptychography,” Proc. SPIE 10677, 106772A (2018).

A. P. Konijnenberg, W. M. J. Coene, S. F. Pereira, and H. P. Urbach, “Combining ptychographical algorithms with the Hybrid Input-Output (HIO) algorithm,” Ultramicroscopy 171, 43–54 (2016).
[Crossref] [PubMed]

Kourousias, G.

F. Guzzi, G. Kourousias, F. Billè, R. Pugliese, C. Reis, A. Gianoncelli, and S. Carrato, “Refining scan positions in Ptychography through error minimisation and potential application of Machine Learning,” J. Instrum. 13(6), C06002 (2018).
[Crossref]

Kraus, B.

A. M. Maiden, M. J. Humphry, M. C. Sarahan, B. Kraus, and J. M. Rodenburg, “An annealing algorithm to correct positioning errors in ptychography,” Ultramicroscopy 120(5), 64–72 (2012).
[Crossref] [PubMed]

Kynde, S.

O. Bunk, M. Dierolf, S. Kynde, I. Johnson, O. Marti, and F. Pfeiffer, “Influence of the overlap parameter on the convergence of the ptychographical iterative engine,” Ultramicroscopy 108(5), 481–487 (2008).
[Crossref] [PubMed]

Latychevskaia, T.

L. Rong, T. Latychevskaia, C. Chen, D. Wang, Z. Yu, X. Zhou, Z. Li, H. Huang, Y. Wang, and Z. Zhou, “Terahertz in-line digital holography of human hepatocellular carcinoma tissue,” Sci. Rep. 5(1), 8445 (2015).
[Crossref] [PubMed]

L. Rong, T. Latychevskaia, D. Wang, X. Zhou, H. Huang, Z. Li, and Y. Wang, “Terahertz in-line digital holography of dragonfly hindwing: amplitude and phase reconstruction at enhanced resolution by extrapolation,” Opt. Express 22(14), 17236–17245 (2014).
[Crossref] [PubMed]

T. Latychevskaia and H.-W. Fink, “Solution to the twin image problem in holography,” Phys. Rev. Lett. 98(23), 233901 (2007).
[Crossref] [PubMed]

Li, L.

Li, Q.

Li, Y. D.

Li, Z.

L. Rong, T. Latychevskaia, C. Chen, D. Wang, Z. Yu, X. Zhou, Z. Li, H. Huang, Y. Wang, and Z. Zhou, “Terahertz in-line digital holography of human hepatocellular carcinoma tissue,” Sci. Rep. 5(1), 8445 (2015).
[Crossref] [PubMed]

H. Huang, D. Wang, L. Rong, X. Zhou, Z. Li, and Y. Wang, “Application of autofocusing methods in continuous-wave terahertz in-line digital holography,” Opt. Commun. 346, 93–98 (2015).
[Crossref]

L. Rong, T. Latychevskaia, D. Wang, X. Zhou, H. Huang, Z. Li, and Y. Wang, “Terahertz in-line digital holography of dragonfly hindwing: amplitude and phase reconstruction at enhanced resolution by extrapolation,” Opt. Express 22(14), 17236–17245 (2014).
[Crossref] [PubMed]

Locatelli, M.

M. Locatelli, M. Ravaro, S. Bartalini, L. Consolino, M. S. Vitiello, R. Cicchi, F. Pavone, and P. De Natale, “Real-time terahertz digital holography with a quantum cascade laser,” Sci. Rep. 5(1), 13566 (2015).
[Crossref] [PubMed]

Maiden, A. M.

A. M. Maiden, M. J. Humphry, M. C. Sarahan, B. Kraus, and J. M. Rodenburg, “An annealing algorithm to correct positioning errors in ptychography,” Ultramicroscopy 120(5), 64–72 (2012).
[Crossref] [PubMed]

F. Hüe, J. M. Rodenburg, A. M. Maiden, F. Sweeney, and P. A. Midgley, “Wave-front phase retrieval in transmission electron microscopy via ptychography,” Phys. Rev. B 82(12), 121415 (2010).

A. M. Maiden and J. M. Rodenburg, “An improved ptychographical phase retrieval algorithm for diffractive imaging,” Ultramicroscopy 109(10), 1256–1262 (2009).
[Crossref] [PubMed]

Marti, O.

O. Bunk, M. Dierolf, S. Kynde, I. Johnson, O. Marti, and F. Pfeiffer, “Influence of the overlap parameter on the convergence of the ptychographical iterative engine,” Ultramicroscopy 108(5), 481–487 (2008).
[Crossref] [PubMed]

McNulty, I.

Menzel, A.

F. Zhang, I. Peterson, J. Vila-Comamala, A. Diaz, F. Berenguer, R. Bean, B. Chen, A. Menzel, I. K. Robinson, and J. M. Rodenburg, “Translation position determination in ptychographic coherent diffraction imaging,” Opt. Express 21(11), 13592–13606 (2013).
[Crossref] [PubMed]

M. Dierolf, P. Thibault, A. Menzel, C. M. Kewish, K. Jefimovs, I. Schlichting, K. V. König, O. Bunk, and F. Pfeiffer, “Ptychographic coherent diffractive imaging of weakly scattering specimens,” New J. Phys. 12(3), 35017 (2010).
[Crossref]

P. Thibault, M. Dierolf, O. Bunk, A. Menzel, and F. Pfeiffer, “Probe retrieval in ptychographic coherent diffractive imaging,” Ultramicroscopy 109(4), 338–343 (2009).
[Crossref] [PubMed]

Midgley, P. A.

F. Hüe, J. M. Rodenburg, A. M. Maiden, F. Sweeney, and P. A. Midgley, “Wave-front phase retrieval in transmission electron microscopy via ptychography,” Phys. Rev. B 82(12), 121415 (2010).

Miljkovic, N.

J. Oh, C. E. Dana, S. Hong, J. K. Román, K. D. Jo, J. W. Hong, J. Nguyen, D. M. Cropek, M. Alleyne, and N. Miljkovic, “Exploring the role of habitat on the wettability of cicada wings,” ACS Appl. Mater. Interfaces 9(32), 27173–27184 (2017).
[Crossref] [PubMed]

Nguyen, J.

J. Oh, C. E. Dana, S. Hong, J. K. Román, K. D. Jo, J. W. Hong, J. Nguyen, D. M. Cropek, M. Alleyne, and N. Miljkovic, “Exploring the role of habitat on the wettability of cicada wings,” ACS Appl. Mater. Interfaces 9(32), 27173–27184 (2017).
[Crossref] [PubMed]

Oh, J.

J. Oh, C. E. Dana, S. Hong, J. K. Román, K. D. Jo, J. W. Hong, J. Nguyen, D. M. Cropek, M. Alleyne, and N. Miljkovic, “Exploring the role of habitat on the wettability of cicada wings,” ACS Appl. Mater. Interfaces 9(32), 27173–27184 (2017).
[Crossref] [PubMed]

Ohashi, H.

Y. Takahashi, A. Suzuki, N. Zettsu, Y. Kohmura, Y. Senba, H. Ohashi, K. Yamauchi, and T. Ishikawa, “Towards high-resolution ptychographic x-ray diffraction microscopy,” Phys. Rev. B Condens. Matter Mater. Phys. 83(21), 214109 (2011).
[Crossref]

Otani, C.

Pavone, F.

M. Locatelli, M. Ravaro, S. Bartalini, L. Consolino, M. S. Vitiello, R. Cicchi, F. Pavone, and P. De Natale, “Real-time terahertz digital holography with a quantum cascade laser,” Sci. Rep. 5(1), 13566 (2015).
[Crossref] [PubMed]

Pereira, S. F.

P. Dwivedi, A. P. Konijnenberg, S. F. Pereira, and H. P. Urbach, “Lateral position correction in ptychography using the gradient of intensity patterns,” Ultramicroscopy 192, 29–36 (2018).
[Crossref] [PubMed]

P. Dwivedi, A. P. Konijnenberg, S. F. Pereira, and H. P. Urbach, “An alternative method to correct translation positions in ptychography,” Proc. SPIE 10677, 106772A (2018).

A. P. Konijnenberg, W. M. J. Coene, S. F. Pereira, and H. P. Urbach, “Combining ptychographical algorithms with the Hybrid Input-Output (HIO) algorithm,” Ultramicroscopy 171, 43–54 (2016).
[Crossref] [PubMed]

Peterson, I.

Pfau, B.

Pfeiffer, F.

M. Dierolf, P. Thibault, A. Menzel, C. M. Kewish, K. Jefimovs, I. Schlichting, K. V. König, O. Bunk, and F. Pfeiffer, “Ptychographic coherent diffractive imaging of weakly scattering specimens,” New J. Phys. 12(3), 35017 (2010).
[Crossref]

P. Thibault, M. Dierolf, O. Bunk, A. Menzel, and F. Pfeiffer, “Probe retrieval in ptychographic coherent diffractive imaging,” Ultramicroscopy 109(4), 338–343 (2009).
[Crossref] [PubMed]

O. Bunk, M. Dierolf, S. Kynde, I. Johnson, O. Marti, and F. Pfeiffer, “Influence of the overlap parameter on the convergence of the ptychographical iterative engine,” Ultramicroscopy 108(5), 481–487 (2008).
[Crossref] [PubMed]

J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, “Hard-x-ray lensless imaging of extended objects,” Phys. Rev. Lett. 98(3), 034801 (2007).
[Crossref] [PubMed]

Pugliese, R.

F. Guzzi, G. Kourousias, F. Billè, R. Pugliese, C. Reis, A. Gianoncelli, and S. Carrato, “Refining scan positions in Ptychography through error minimisation and potential application of Machine Learning,” J. Instrum. 13(6), C06002 (2018).
[Crossref]

Ravaro, M.

M. Locatelli, M. Ravaro, S. Bartalini, L. Consolino, M. S. Vitiello, R. Cicchi, F. Pavone, and P. De Natale, “Real-time terahertz digital holography with a quantum cascade laser,” Sci. Rep. 5(1), 13566 (2015).
[Crossref] [PubMed]

Reis, C.

F. Guzzi, G. Kourousias, F. Billè, R. Pugliese, C. Reis, A. Gianoncelli, and S. Carrato, “Refining scan positions in Ptychography through error minimisation and potential application of Machine Learning,” J. Instrum. 13(6), C06002 (2018).
[Crossref]

Robinson, I. K.

Rodenburg, J. M.

F. Zhang, I. Peterson, J. Vila-Comamala, A. Diaz, F. Berenguer, R. Bean, B. Chen, A. Menzel, I. K. Robinson, and J. M. Rodenburg, “Translation position determination in ptychographic coherent diffraction imaging,” Opt. Express 21(11), 13592–13606 (2013).
[Crossref] [PubMed]

A. M. Maiden, M. J. Humphry, M. C. Sarahan, B. Kraus, and J. M. Rodenburg, “An annealing algorithm to correct positioning errors in ptychography,” Ultramicroscopy 120(5), 64–72 (2012).
[Crossref] [PubMed]

A. Shenfield and J. M. Rodenburg, “Evolutionary determination of experimental parameters for ptychographical imaging,” J. Appl. Phys. 109(12), 124510 (2011).
[Crossref]

A. C. Hurst, T. B. Edo, T. Walther, F. Sweeney, and J. M. Rodenburg, “Probe position recovery for ptychographical imaging,” J. Phys. Conf. Ser. 241, 012004 (2010).
[Crossref]

F. Hüe, J. M. Rodenburg, A. M. Maiden, F. Sweeney, and P. A. Midgley, “Wave-front phase retrieval in transmission electron microscopy via ptychography,” Phys. Rev. B 82(12), 121415 (2010).

A. M. Maiden and J. M. Rodenburg, “An improved ptychographical phase retrieval algorithm for diffractive imaging,” Ultramicroscopy 109(10), 1256–1262 (2009).
[Crossref] [PubMed]

J. M. Rodenburg, A. C. Hurst, and A. G. Cullis, “Transmission microscopy without lenses for objects of unlimited size,” Ultramicroscopy 107(2-3), 227–231 (2007).
[Crossref] [PubMed]

J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, “Hard-x-ray lensless imaging of extended objects,” Phys. Rev. Lett. 98(3), 034801 (2007).
[Crossref] [PubMed]

H. M. L. Faulkner and J. M. Rodenburg, “Error tolerance of an iterative phase retrieval algorithm for moveable illumination microscopy,” Ultramicroscopy 103(2), 153–164 (2005).
[Crossref] [PubMed]

H. M. L. Faulkner and J. M. Rodenburg, “Movable aperture lensless transmission microscopy: a novel phase retrieval algorithm,” Phys. Rev. Lett. 93(2), 023903 (2004).
[Crossref] [PubMed]

J. M. Rodenburg and H. M. L. Faulkner, “A phase retrieval algorithm for shifting illumination,” Appl. Phys. Lett. 85(20), 4795–4797 (2004).
[Crossref]

Román, J. K.

J. Oh, C. E. Dana, S. Hong, J. K. Román, K. D. Jo, J. W. Hong, J. Nguyen, D. M. Cropek, M. Alleyne, and N. Miljkovic, “Exploring the role of habitat on the wettability of cicada wings,” ACS Appl. Mater. Interfaces 9(32), 27173–27184 (2017).
[Crossref] [PubMed]

Rong, L.

H. Huang, D. Wang, L. Rong, X. Zhou, Z. Li, and Y. Wang, “Application of autofocusing methods in continuous-wave terahertz in-line digital holography,” Opt. Commun. 346, 93–98 (2015).
[Crossref]

L. Rong, T. Latychevskaia, C. Chen, D. Wang, Z. Yu, X. Zhou, Z. Li, H. Huang, Y. Wang, and Z. Zhou, “Terahertz in-line digital holography of human hepatocellular carcinoma tissue,” Sci. Rep. 5(1), 8445 (2015).
[Crossref] [PubMed]

L. Rong, T. Latychevskaia, D. Wang, X. Zhou, H. Huang, Z. Li, and Y. Wang, “Terahertz in-line digital holography of dragonfly hindwing: amplitude and phase reconstruction at enhanced resolution by extrapolation,” Opt. Express 22(14), 17236–17245 (2014).
[Crossref] [PubMed]

Rosenhahn, A.

M. Beckers, T. Senkbeil, T. Gorniak, K. Giewekemeyer, T. Salditt, and A. Rosenhahn, “Drift correction in ptychographic diffractive imaging,” Ultramicroscopy 126, 44–47 (2013).
[Crossref] [PubMed]

K. Giewekemeyer, M. Beckers, T. Gorniak, M. Grunze, T. Salditt, and A. Rosenhahn, “Ptychographic coherent x-ray diffractive imaging in the water window,” Opt. Express 19(2), 1037–1050 (2011).
[Crossref] [PubMed]

Salditt, T.

M. Beckers, T. Senkbeil, T. Gorniak, K. Giewekemeyer, T. Salditt, and A. Rosenhahn, “Drift correction in ptychographic diffractive imaging,” Ultramicroscopy 126, 44–47 (2013).
[Crossref] [PubMed]

K. Giewekemeyer, M. Beckers, T. Gorniak, M. Grunze, T. Salditt, and A. Rosenhahn, “Ptychographic coherent x-ray diffractive imaging in the water window,” Opt. Express 19(2), 1037–1050 (2011).
[Crossref] [PubMed]

Sarahan, M. C.

A. M. Maiden, M. J. Humphry, M. C. Sarahan, B. Kraus, and J. M. Rodenburg, “An annealing algorithm to correct positioning errors in ptychography,” Ultramicroscopy 120(5), 64–72 (2012).
[Crossref] [PubMed]

Sasahara, T.

Sasaki, Y.

Schlichting, I.

M. Dierolf, P. Thibault, A. Menzel, C. M. Kewish, K. Jefimovs, I. Schlichting, K. V. König, O. Bunk, and F. Pfeiffer, “Ptychographic coherent diffractive imaging of weakly scattering specimens,” New J. Phys. 12(3), 35017 (2010).
[Crossref]

Schneider, M.

Senba, Y.

Y. Takahashi, A. Suzuki, N. Zettsu, Y. Kohmura, Y. Senba, H. Ohashi, K. Yamauchi, and T. Ishikawa, “Towards high-resolution ptychographic x-ray diffraction microscopy,” Phys. Rev. B Condens. Matter Mater. Phys. 83(21), 214109 (2011).
[Crossref]

Senkbeil, T.

M. Beckers, T. Senkbeil, T. Gorniak, K. Giewekemeyer, T. Salditt, and A. Rosenhahn, “Drift correction in ptychographic diffractive imaging,” Ultramicroscopy 126, 44–47 (2013).
[Crossref] [PubMed]

Sheikh, H. R.

Z. Wang, A. C. Bovik, H. R. Sheikh, and E. P. Simoncelli, “Image quality assessment: from error visibility to structural similarity,” IEEE Trans. Image Process. 13(4), 600–612 (2004).
[Crossref] [PubMed]

Shemilt, L.

Shenfield, A.

A. Shenfield and J. M. Rodenburg, “Evolutionary determination of experimental parameters for ptychographical imaging,” J. Appl. Phys. 109(12), 124510 (2011).
[Crossref]

Shpyrko, O. G.

Simoncelli, E. P.

Z. Wang, A. C. Bovik, H. R. Sheikh, and E. P. Simoncelli, “Image quality assessment: from error visibility to structural similarity,” IEEE Trans. Image Process. 13(4), 600–612 (2004).
[Crossref] [PubMed]

Suga, M.

Sun, W.

W. Sun, X. Wang, and Y. Zhang, “Continuous wave terahertz phase imaging with three-step phase-shifting,” Optik (Stuttg.) 124(22), 5533–5536 (2013).
[Crossref]

Suzuki, A.

Y. Takahashi, A. Suzuki, N. Zettsu, Y. Kohmura, Y. Senba, H. Ohashi, K. Yamauchi, and T. Ishikawa, “Towards high-resolution ptychographic x-ray diffraction microscopy,” Phys. Rev. B Condens. Matter Mater. Phys. 83(21), 214109 (2011).
[Crossref]

Suzuki, Y.

Y. Suzuki, A. Takeuchi, H. Takano, and H. Takenaka, “Performance test of Fresnel zone plate with 50 nm outermost zone width in hard X-ray region,” Jpn. J. Appl. Phys. 44(4A), 1994–1998 (2005).
[Crossref]

Sweeney, F.

A. C. Hurst, T. B. Edo, T. Walther, F. Sweeney, and J. M. Rodenburg, “Probe position recovery for ptychographical imaging,” J. Phys. Conf. Ser. 241, 012004 (2010).
[Crossref]

F. Hüe, J. M. Rodenburg, A. M. Maiden, F. Sweeney, and P. A. Midgley, “Wave-front phase retrieval in transmission electron microscopy via ptychography,” Phys. Rev. B 82(12), 121415 (2010).

Takahashi, Y.

Y. Takahashi, A. Suzuki, N. Zettsu, Y. Kohmura, Y. Senba, H. Ohashi, K. Yamauchi, and T. Ishikawa, “Towards high-resolution ptychographic x-ray diffraction microscopy,” Phys. Rev. B Condens. Matter Mater. Phys. 83(21), 214109 (2011).
[Crossref]

Takano, H.

Y. Suzuki, A. Takeuchi, H. Takano, and H. Takenaka, “Performance test of Fresnel zone plate with 50 nm outermost zone width in hard X-ray region,” Jpn. J. Appl. Phys. 44(4A), 1994–1998 (2005).
[Crossref]

Takenaka, H.

Y. Suzuki, A. Takeuchi, H. Takano, and H. Takenaka, “Performance test of Fresnel zone plate with 50 nm outermost zone width in hard X-ray region,” Jpn. J. Appl. Phys. 44(4A), 1994–1998 (2005).
[Crossref]

Takeuchi, A.

Y. Suzuki, A. Takeuchi, H. Takano, and H. Takenaka, “Performance test of Fresnel zone plate with 50 nm outermost zone width in hard X-ray region,” Jpn. J. Appl. Phys. 44(4A), 1994–1998 (2005).
[Crossref]

Thibault, P.

M. Dierolf, P. Thibault, A. Menzel, C. M. Kewish, K. Jefimovs, I. Schlichting, K. V. König, O. Bunk, and F. Pfeiffer, “Ptychographic coherent diffractive imaging of weakly scattering specimens,” New J. Phys. 12(3), 35017 (2010).
[Crossref]

P. Thibault, M. Dierolf, O. Bunk, A. Menzel, and F. Pfeiffer, “Probe retrieval in ptychographic coherent diffractive imaging,” Ultramicroscopy 109(4), 338–343 (2009).
[Crossref] [PubMed]

Thurman, S. T.

Tripathi, A.

Urbach, H. P.

P. Dwivedi, A. P. Konijnenberg, S. F. Pereira, and H. P. Urbach, “Lateral position correction in ptychography using the gradient of intensity patterns,” Ultramicroscopy 192, 29–36 (2018).
[Crossref] [PubMed]

P. Dwivedi, A. P. Konijnenberg, S. F. Pereira, and H. P. Urbach, “An alternative method to correct translation positions in ptychography,” Proc. SPIE 10677, 106772A (2018).

A. P. Konijnenberg, W. M. J. Coene, S. F. Pereira, and H. P. Urbach, “Combining ptychographical algorithms with the Hybrid Input-Output (HIO) algorithm,” Ultramicroscopy 171, 43–54 (2016).
[Crossref] [PubMed]

Valzania, L.

Vila-Comamala, J.

Vitiello, M. S.

M. Locatelli, M. Ravaro, S. Bartalini, L. Consolino, M. S. Vitiello, R. Cicchi, F. Pavone, and P. De Natale, “Real-time terahertz digital holography with a quantum cascade laser,” Sci. Rep. 5(1), 13566 (2015).
[Crossref] [PubMed]

Walther, T.

A. C. Hurst, T. B. Edo, T. Walther, F. Sweeney, and J. M. Rodenburg, “Probe position recovery for ptychographical imaging,” J. Phys. Conf. Ser. 241, 012004 (2010).
[Crossref]

Wang, D.

L. Rong, T. Latychevskaia, C. Chen, D. Wang, Z. Yu, X. Zhou, Z. Li, H. Huang, Y. Wang, and Z. Zhou, “Terahertz in-line digital holography of human hepatocellular carcinoma tissue,” Sci. Rep. 5(1), 8445 (2015).
[Crossref] [PubMed]

H. Huang, D. Wang, L. Rong, X. Zhou, Z. Li, and Y. Wang, “Application of autofocusing methods in continuous-wave terahertz in-line digital holography,” Opt. Commun. 346, 93–98 (2015).
[Crossref]

L. Rong, T. Latychevskaia, D. Wang, X. Zhou, H. Huang, Z. Li, and Y. Wang, “Terahertz in-line digital holography of dragonfly hindwing: amplitude and phase reconstruction at enhanced resolution by extrapolation,” Opt. Express 22(14), 17236–17245 (2014).
[Crossref] [PubMed]

Wang, Q.

Wang, X.

W. Sun, X. Wang, and Y. Zhang, “Continuous wave terahertz phase imaging with three-step phase-shifting,” Optik (Stuttg.) 124(22), 5533–5536 (2013).
[Crossref]

L. Li, X. Wang, and H. Zhai, “Single-shot diagnostic for the three-dimensional field distribution of a terahertz pulse based on pulsed digital holography,” Opt. Lett. 36(14), 2737–2739 (2011).
[Crossref] [PubMed]

Wang, Y.

L. Rong, T. Latychevskaia, C. Chen, D. Wang, Z. Yu, X. Zhou, Z. Li, H. Huang, Y. Wang, and Z. Zhou, “Terahertz in-line digital holography of human hepatocellular carcinoma tissue,” Sci. Rep. 5(1), 8445 (2015).
[Crossref] [PubMed]

H. Huang, D. Wang, L. Rong, X. Zhou, Z. Li, and Y. Wang, “Application of autofocusing methods in continuous-wave terahertz in-line digital holography,” Opt. Commun. 346, 93–98 (2015).
[Crossref]

L. Rong, T. Latychevskaia, D. Wang, X. Zhou, H. Huang, Z. Li, and Y. Wang, “Terahertz in-line digital holography of dragonfly hindwing: amplitude and phase reconstruction at enhanced resolution by extrapolation,” Opt. Express 22(14), 17236–17245 (2014).
[Crossref] [PubMed]

Wang, Z.

Z. Wang, A. C. Bovik, H. R. Sheikh, and E. P. Simoncelli, “Image quality assessment: from error visibility to structural similarity,” IEEE Trans. Image Process. 13(4), 600–612 (2004).
[Crossref] [PubMed]

Yamauchi, K.

Y. Takahashi, A. Suzuki, N. Zettsu, Y. Kohmura, Y. Senba, H. Ohashi, K. Yamauchi, and T. Ishikawa, “Towards high-resolution ptychographic x-ray diffraction microscopy,” Phys. Rev. B Condens. Matter Mater. Phys. 83(21), 214109 (2011).
[Crossref]

Yu, Z.

L. Rong, T. Latychevskaia, C. Chen, D. Wang, Z. Yu, X. Zhou, Z. Li, H. Huang, Y. Wang, and Z. Zhou, “Terahertz in-line digital holography of human hepatocellular carcinoma tissue,” Sci. Rep. 5(1), 8445 (2015).
[Crossref] [PubMed]

Yuasa, T.

Zettsu, N.

Y. Takahashi, A. Suzuki, N. Zettsu, Y. Kohmura, Y. Senba, H. Ohashi, K. Yamauchi, and T. Ishikawa, “Towards high-resolution ptychographic x-ray diffraction microscopy,” Phys. Rev. B Condens. Matter Mater. Phys. 83(21), 214109 (2011).
[Crossref]

Zhai, H.

Zhang, F.

Zhang, Y.

W. Sun, X. Wang, and Y. Zhang, “Continuous wave terahertz phase imaging with three-step phase-shifting,” Optik (Stuttg.) 124(22), 5533–5536 (2013).
[Crossref]

Zhou, X.

L. Rong, T. Latychevskaia, C. Chen, D. Wang, Z. Yu, X. Zhou, Z. Li, H. Huang, Y. Wang, and Z. Zhou, “Terahertz in-line digital holography of human hepatocellular carcinoma tissue,” Sci. Rep. 5(1), 8445 (2015).
[Crossref] [PubMed]

H. Huang, D. Wang, L. Rong, X. Zhou, Z. Li, and Y. Wang, “Application of autofocusing methods in continuous-wave terahertz in-line digital holography,” Opt. Commun. 346, 93–98 (2015).
[Crossref]

L. Rong, T. Latychevskaia, D. Wang, X. Zhou, H. Huang, Z. Li, and Y. Wang, “Terahertz in-line digital holography of dragonfly hindwing: amplitude and phase reconstruction at enhanced resolution by extrapolation,” Opt. Express 22(14), 17236–17245 (2014).
[Crossref] [PubMed]

Zhou, Z.

L. Rong, T. Latychevskaia, C. Chen, D. Wang, Z. Yu, X. Zhou, Z. Li, H. Huang, Y. Wang, and Z. Zhou, “Terahertz in-line digital holography of human hepatocellular carcinoma tissue,” Sci. Rep. 5(1), 8445 (2015).
[Crossref] [PubMed]

Zolliker, P.

ACS Appl. Mater. Interfaces (1)

J. Oh, C. E. Dana, S. Hong, J. K. Román, K. D. Jo, J. W. Hong, J. Nguyen, D. M. Cropek, M. Alleyne, and N. Miljkovic, “Exploring the role of habitat on the wettability of cicada wings,” ACS Appl. Mater. Interfaces 9(32), 27173–27184 (2017).
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Appl. Phys. Lett. (1)

J. M. Rodenburg and H. M. L. Faulkner, “A phase retrieval algorithm for shifting illumination,” Appl. Phys. Lett. 85(20), 4795–4797 (2004).
[Crossref]

IEEE Trans. Image Process. (1)

Z. Wang, A. C. Bovik, H. R. Sheikh, and E. P. Simoncelli, “Image quality assessment: from error visibility to structural similarity,” IEEE Trans. Image Process. 13(4), 600–612 (2004).
[Crossref] [PubMed]

J. Appl. Phys. (1)

A. Shenfield and J. M. Rodenburg, “Evolutionary determination of experimental parameters for ptychographical imaging,” J. Appl. Phys. 109(12), 124510 (2011).
[Crossref]

J. Instrum. (1)

F. Guzzi, G. Kourousias, F. Billè, R. Pugliese, C. Reis, A. Gianoncelli, and S. Carrato, “Refining scan positions in Ptychography through error minimisation and potential application of Machine Learning,” J. Instrum. 13(6), C06002 (2018).
[Crossref]

J. Phys. Conf. Ser. (1)

A. C. Hurst, T. B. Edo, T. Walther, F. Sweeney, and J. M. Rodenburg, “Probe position recovery for ptychographical imaging,” J. Phys. Conf. Ser. 241, 012004 (2010).
[Crossref]

Jpn. J. Appl. Phys. (1)

Y. Suzuki, A. Takeuchi, H. Takano, and H. Takenaka, “Performance test of Fresnel zone plate with 50 nm outermost zone width in hard X-ray region,” Jpn. J. Appl. Phys. 44(4A), 1994–1998 (2005).
[Crossref]

New J. Phys. (1)

M. Dierolf, P. Thibault, A. Menzel, C. M. Kewish, K. Jefimovs, I. Schlichting, K. V. König, O. Bunk, and F. Pfeiffer, “Ptychographic coherent diffractive imaging of weakly scattering specimens,” New J. Phys. 12(3), 35017 (2010).
[Crossref]

Opt. Commun. (1)

H. Huang, D. Wang, L. Rong, X. Zhou, Z. Li, and Y. Wang, “Application of autofocusing methods in continuous-wave terahertz in-line digital holography,” Opt. Commun. 346, 93–98 (2015).
[Crossref]

Opt. Express (8)

P. Hessing, B. Pfau, E. Guehrs, M. Schneider, L. Shemilt, J. Geilhufe, and S. Eisebitt, “Holography-guided ptychography with soft X-rays,” Opt. Express 24(2), 1840–1851 (2016).
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F. Zhang, I. Peterson, J. Vila-Comamala, A. Diaz, F. Berenguer, R. Bean, B. Chen, A. Menzel, I. K. Robinson, and J. M. Rodenburg, “Translation position determination in ptychographic coherent diffraction imaging,” Opt. Express 21(11), 13592–13606 (2013).
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M. Guizar-Sicairos and J. R. Fienup, “Phase retrieval with transverse translation diversity: a nonlinear optimization approach,” Opt. Express 16(10), 7264–7278 (2008).
[Crossref] [PubMed]

A. Tripathi, I. McNulty, and O. G. Shpyrko, “Ptychographic overlap constraint errors and the limits of their numerical recovery using conjugate gradient descent methods,” Opt. Express 22(2), 1452–1466 (2014).
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K. Giewekemeyer, M. Beckers, T. Gorniak, M. Grunze, T. Salditt, and A. Rosenhahn, “Ptychographic coherent x-ray diffractive imaging in the water window,” Opt. Express 19(2), 1037–1050 (2011).
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P. Zolliker and E. Hack, “THz holography in reflection using a high resolution microbolometer array,” Opt. Express 23(9), 10957–10967 (2015).
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M. Suga, Y. Sasaki, T. Sasahara, T. Yuasa, and C. Otani, “THz phase-contrast computed tomography based on Mach-Zehnder interferometer using continuous wave source: proof of the concept,” Opt. Express 21(21), 25389–25402 (2013).
[Crossref] [PubMed]

L. Rong, T. Latychevskaia, D. Wang, X. Zhou, H. Huang, Z. Li, and Y. Wang, “Terahertz in-line digital holography of dragonfly hindwing: amplitude and phase reconstruction at enhanced resolution by extrapolation,” Opt. Express 22(14), 17236–17245 (2014).
[Crossref] [PubMed]

Opt. Lett. (4)

Optik (Stuttg.) (1)

W. Sun, X. Wang, and Y. Zhang, “Continuous wave terahertz phase imaging with three-step phase-shifting,” Optik (Stuttg.) 124(22), 5533–5536 (2013).
[Crossref]

Phys. Rev. B (1)

F. Hüe, J. M. Rodenburg, A. M. Maiden, F. Sweeney, and P. A. Midgley, “Wave-front phase retrieval in transmission electron microscopy via ptychography,” Phys. Rev. B 82(12), 121415 (2010).

Phys. Rev. B Condens. Matter Mater. Phys. (1)

Y. Takahashi, A. Suzuki, N. Zettsu, Y. Kohmura, Y. Senba, H. Ohashi, K. Yamauchi, and T. Ishikawa, “Towards high-resolution ptychographic x-ray diffraction microscopy,” Phys. Rev. B Condens. Matter Mater. Phys. 83(21), 214109 (2011).
[Crossref]

Phys. Rev. Lett. (3)

J. M. Rodenburg, A. C. Hurst, A. G. Cullis, B. R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, and I. Johnson, “Hard-x-ray lensless imaging of extended objects,” Phys. Rev. Lett. 98(3), 034801 (2007).
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H. M. L. Faulkner and J. M. Rodenburg, “Movable aperture lensless transmission microscopy: a novel phase retrieval algorithm,” Phys. Rev. Lett. 93(2), 023903 (2004).
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T. Latychevskaia and H.-W. Fink, “Solution to the twin image problem in holography,” Phys. Rev. Lett. 98(23), 233901 (2007).
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Proc. SPIE (1)

P. Dwivedi, A. P. Konijnenberg, S. F. Pereira, and H. P. Urbach, “An alternative method to correct translation positions in ptychography,” Proc. SPIE 10677, 106772A (2018).

Sci. Rep. (2)

M. Locatelli, M. Ravaro, S. Bartalini, L. Consolino, M. S. Vitiello, R. Cicchi, F. Pavone, and P. De Natale, “Real-time terahertz digital holography with a quantum cascade laser,” Sci. Rep. 5(1), 13566 (2015).
[Crossref] [PubMed]

L. Rong, T. Latychevskaia, C. Chen, D. Wang, Z. Yu, X. Zhou, Z. Li, H. Huang, Y. Wang, and Z. Zhou, “Terahertz in-line digital holography of human hepatocellular carcinoma tissue,” Sci. Rep. 5(1), 8445 (2015).
[Crossref] [PubMed]

Ultramicroscopy (9)

A. M. Maiden and J. M. Rodenburg, “An improved ptychographical phase retrieval algorithm for diffractive imaging,” Ultramicroscopy 109(10), 1256–1262 (2009).
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J. M. Rodenburg, A. C. Hurst, and A. G. Cullis, “Transmission microscopy without lenses for objects of unlimited size,” Ultramicroscopy 107(2-3), 227–231 (2007).
[Crossref] [PubMed]

A. P. Konijnenberg, W. M. J. Coene, S. F. Pereira, and H. P. Urbach, “Combining ptychographical algorithms with the Hybrid Input-Output (HIO) algorithm,” Ultramicroscopy 171, 43–54 (2016).
[Crossref] [PubMed]

M. Beckers, T. Senkbeil, T. Gorniak, K. Giewekemeyer, T. Salditt, and A. Rosenhahn, “Drift correction in ptychographic diffractive imaging,” Ultramicroscopy 126, 44–47 (2013).
[Crossref] [PubMed]

H. M. L. Faulkner and J. M. Rodenburg, “Error tolerance of an iterative phase retrieval algorithm for moveable illumination microscopy,” Ultramicroscopy 103(2), 153–164 (2005).
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P. Dwivedi, A. P. Konijnenberg, S. F. Pereira, and H. P. Urbach, “Lateral position correction in ptychography using the gradient of intensity patterns,” Ultramicroscopy 192, 29–36 (2018).
[Crossref] [PubMed]

A. M. Maiden, M. J. Humphry, M. C. Sarahan, B. Kraus, and J. M. Rodenburg, “An annealing algorithm to correct positioning errors in ptychography,” Ultramicroscopy 120(5), 64–72 (2012).
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P. Thibault, M. Dierolf, O. Bunk, A. Menzel, and F. Pfeiffer, “Probe retrieval in ptychographic coherent diffractive imaging,” Ultramicroscopy 109(4), 338–343 (2009).
[Crossref] [PubMed]

O. Bunk, M. Dierolf, S. Kynde, I. Johnson, O. Marti, and F. Pfeiffer, “Influence of the overlap parameter on the convergence of the ptychographical iterative engine,” Ultramicroscopy 108(5), 481–487 (2008).
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J. Son, Terahertz Biomedical Science and Technology (CRC, 2014).

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Figures (8)

Fig. 1
Fig. 1 A schematic representation of the proposed algorithm. If the initial probe position is determined, the following probe positions are successively estimated by Eqs. (2) – (5).
Fig. 2
Fig. 2 Comparison of simulation results with or without probe position refinement. (a1) and (a2) are the intensity [0, 1] and phase [0, π/2] of the test object transmittance function. Insets show the intensity and phase of the simulated probe. The highlighted areas indicated the effective field-of-view. (b1) and (b2) are the reconstructed distributions with probe function update only using 20 loops of ePIE. (c1) and (c2) are the reconstructed images after the probe position estimation using the proposed method (PM) and afterward 20 loops of ePIE. (d1) and (d2) are reconstruction results after 100 loops of pc-PIE on the basis of (c1) and (c2). (e1) and (e2) are the reconstruction results using 20 loops of e-PIE and 100 loops of pc-PIE.
Fig. 3
Fig. 3 Probe position maps in the simulation. The blue circles indicate the erroneous probe positions used in generating the diffraction patterns. The red crosses illustrate the start probe positions before correction (6 × 6 regular grid) with mean position error of 6.74 pixels. The green stars show the corrected positions of Fig. 2(c) with mean position error of 1.86 pixels.
Fig. 4
Fig. 4 Comparison of simulation results with a priori probe function. (a1) and (a2) are the reconstructed distributions using 20 loops of PIE without probe position correction. (b1) and (b2) are the reconstruction results using the proposed method and 20 loops of PIE. (c1) and (c2) are the results using 20 loops of pc-PIE.
Fig. 5
Fig. 5 (a) Schematic layout of the setup of CW THz ptychography, PMs: parabolic mirrors. The sample was motorized by a 2-axis translation stage during data acquisition. For details see the main text. (b) Photo of the forewing of cicadas, Sc: subcosta, Rs: radius (R1, R2, R3, R4, R5), Ms: media (M1, M2), and “+” indicates the convex vein.
Fig. 6
Fig. 6 THz ptychographic far-field diffraction patterns. (a1) and (a2) are the diffraction patterns of the 3rd and 4th probe positions after Gaussian fitting of 500 frames. They are displayed in logarithmic scale. (b1) is the normalized in-line hologram at the 1st scanning position and (b2) is the reconstructed intensity distribution at z = 21.0 mm from (b1), in which the scalebar represents 1 mm. (c1) and (c2) are the intensity distributions at the object plane using angular spectrum propagation from (a1) and (a2).
Fig. 7
Fig. 7 Comparison of reconstructed images of cicadas’ forewing with or without probe position refinement. The red scalebar represents 1 mm. (a1) and (a2) are the reconstructed distributions without probe position correction after 30 loops of ePIE. (b1) and (b2) are the reconstructed images after probe position estimation and afterward 20 loops of ePIE. (c1) and (c2) are the reconstruction results after 20 loops of pc-PIE on the basis of (b1) and (b2). (d1) and (d2) are the reconstructed probe intensity and phase with position refinement.
Fig. 8
Fig. 8 Maps of translation position errors. (a) Position error distributions along x-axis and y-axis. (b) Probe position distributions before (red crosses) and after (green circles) correction. The arrow indicates initial scanning direction.

Tables (1)

Tables Icon

Table 1 Comparison of reconstruction results in Fig. 7

Equations (9)

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

I j (u)= | G d {O(r)P(r R j )} | 2 ,
ψ j (r)= G d { I j (u) },
A= ψ j (r) ψ j+1 (r)= 1 { { ψ j (r) }{ ψ j+1 * (r) } },
Δx=( Δ x 1 ,Δ x 2 ,,Δ x J1 ),
Δy=( Δ y 1 ,Δ y 2 ,,Δ y J1 ).
x j+1 = x j +Δ x j ( j=1,2,,J1 ),
y j+1 = y j +Δ y j ( j=1,2,,J1 ).
CC(m,n)= ( m μ m )( n μ n ) ( m μ m ) 2 × ( n μ n ) 2 ,
SSIM(m,n)= ( 2 μ m μ n + C 1 )( 2 σ mn + C 2 ) ( μ m 2 + μ n 2 + C 1 )( σ m 2 + σ n 2 + C 2 ) ,