Abstract

To reduce the long data acquisition time of the common mechanical scanning based Ptychographic Iterative Engine (PIE) technique, the digital micro-mirror device (DMD) is used to form the fast scanning illumination on the sample. Since the transverse mechanical scanning in the common PIE is replaced by the on/off switching of the micro-mirrors, the data acquisition time can be reduced from more than 15 minutes to less than 20 seconds for recording 12 × 10 diffraction patterns to cover the same field of 147.08 mm2. Furthermore, since the precision of DMD fabricated with the optical lithography is always higher than 10 nm (1 μm for the mechanical translation stage), the time consuming position-error-correction procedure is not required in the iterative reconstruction. These two improvements fundamentally speed up both the data acquisition and the reconstruction procedures in PIE, and relax its requirements on the stability of the imaging system, therefore remarkably improve its applicability for many practices. It is demonstrated experimentally with both USAF resolution target and biological sample that, the spatial resolution of 5.52 μm and the field of view of 147.08 mm2 can be reached with the DMD based PIE method. In a word, by using the DMD to replace the translation stage, we can effectively overcome the main shortcomings of common PIE related to the mechanical scanning, while keeping its advantages on both the high resolution and large field of view.

© 2017 Optical Society of America

Full Article  |  PDF Article
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References

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2017 (2)

F. Merola, P. Memmolo, L. Miccio, R. Savoia, M. Mugnano, A. Fontana, G. D’Ippolito, A. Sardo, A. Iolascon, A. Gambale, and P. Ferraro, “Tomographic Flow Cytometry by Digital Holography,” Light Sci. Appl. 6(4), e16241 (2017).
[Crossref]

X. Meng, H. Huang, K. Yan, X. Tian, W. Yu, H. Cui, Y. Kong, L. Xue, C. Liu, and S. Wang, “Smartphone based hand-held quantitative phase microscope using the transport of intensity equation method,” Lab Chip 17(1), 104–109 (2017).
[Crossref] [PubMed]

2016 (7)

A. Ozcan and E. McLeod, “Lensless Imaging and Sensing,” Annu. Rev. Biomed. Eng. 18(18), 77–102 (2016).
[Crossref] [PubMed]

X. Tian, W. Yu, X. Meng, A. Sun, L. Xue, C. Liu, and S. Wang, “Real-time quantitative phase imaging based on transport of intensity equation with dual simultaneously recorded field of view,” Opt. Lett. 41(7), 1427–1430 (2016).
[Crossref] [PubMed]

X. Tian, X. Meng, W. Yu, X. Song, L. Xue, C. Liu, and S. Wang, “In–focus quantitative intensity and phase imaging with numerical focusing transport of intensity equation method,” J. Opt. 18(10), 105302 (2016).
[Crossref]

W. Yu, X. Tian, X. He, X. Song, L. Xue, C. Liu, and S. Wang, “Real time quantitative phase microscopy based on single–shot transport of intensity equation (ssTIE) method,” Appl. Phys. Lett. 109(7), 071112 (2016).
[Crossref]

V. Bianco, P. Memmolo, M. Paturzo, A. Finizio, B. Javidi, and P. Ferraro, “Quasi noise-free digital holography,” Light Sci. Appl. 5(9), e16142 (2016).
[Crossref]

W. Yu, S. Wang, S. Veetil, S. Gao, C. Liu, and J. Zhu, “High-quality image reconstruction method for ptychography with partially coherent illumination,” Phys. Rev. B 93(24), 241105 (2016).
[Crossref]

P. Sidorenko and O. Cohen, “Single-shot ptychography,” Optica 3(1), 9–14 (2016).
[Crossref]

2015 (5)

2013 (3)

G. Zheng, R. Horstmeyer, and C. Yang, “Wide-field, high-resolution Fourier ptychographic microscopy,” Nat. Photonics 7(9), 739–745 (2013).
[Crossref] [PubMed]

X. Pan, C. Liu, and J. Zhu, “Single shot ptychographical iterative engine based on multi-beam illumination,” Appl. Phys. Lett. 103(17), 171105 (2013).
[Crossref]

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]

2012 (4)

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]

L. Tian, J. C. Petruccelli, and G. Barbastathis, “Nonlinear diffusion regularization for transport of intensity phase imaging,” Opt. Lett. 37(19), 4131–4133 (2012).
[Crossref] [PubMed]

M. Mir, B. Bhaduri, R. Wang, R. Zhu, and G. Popescu, “Quantitative Phase Imaging,” Prog. Opt. 57, 133–217 (2012).
[Crossref]

A. Pelagotti, M. Paturzo, M. Locatelli, A. Geltrude, R. Meucci, A. Finizio, and P. Ferraro, “An automatic method for assembling a large synthetic aperture digital hologram,” Opt. Express 20(5), 4830–4839 (2012).
[Crossref] [PubMed]

2011 (1)

2010 (5)

2009 (1)

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

2007 (2)

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]

2005 (1)

H. M. 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]

2004 (2)

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

2003 (1)

1982 (1)

1978 (1)

1974 (1)

R. Gerchberg, “Super-resolution through error energy reduction,” J. Mod. Opt. 21(9), 709–720 (1974).

1972 (1)

R. Gerchberg and W. Saxton, “A practical algorithm for the determination of the phase from image and diffraction plane pictures,” Optik (Stuttg.) 35, 237–250 (1972).

Balla, A.

H. Majeed, M. E. Kandel, K. Han, Z. Luo, V. Macias, K. Tangella, A. Balla, and G. Popescu, “Breast cancer diagnosis using spatial light interference microscopy,” J. Biomed. Opt. 20(11), 111210 (2015).
[Crossref] [PubMed]

Barbastathis, G.

Bean, R.

Berenguer, F.

Bhaduri, B.

M. Mir, B. Bhaduri, R. Wang, R. Zhu, and G. Popescu, “Quantitative Phase Imaging,” Prog. Opt. 57, 133–217 (2012).
[Crossref]

Bianco, V.

V. Bianco, P. Memmolo, M. Paturzo, A. Finizio, B. Javidi, and P. Ferraro, “Quasi noise-free digital holography,” Light Sci. Appl. 5(9), e16142 (2016).
[Crossref]

Bunk, O.

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]

Chen, B.

Claus, D.

Cohen, O.

Coppola, G.

Cui, H.

X. Meng, H. Huang, K. Yan, X. Tian, W. Yu, H. Cui, Y. Kong, L. Xue, C. Liu, and S. Wang, “Smartphone based hand-held quantitative phase microscope using the transport of intensity equation method,” Lab Chip 17(1), 104–109 (2017).
[Crossref] [PubMed]

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

D’Ippolito, G.

F. Merola, P. Memmolo, L. Miccio, R. Savoia, M. Mugnano, A. Fontana, G. D’Ippolito, A. Sardo, A. Iolascon, A. Gambale, and P. Ferraro, “Tomographic Flow Cytometry by Digital Holography,” Light Sci. Appl. 6(4), e16241 (2017).
[Crossref]

Dai, Q.

Dasari, R. R.

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 Nicola, S.

Diaz, A.

Distante, C.

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]

Faulkner, H.

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

Faulkner, H. M.

H. M. 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. Faulkner and J. M. Rodenburg, “Movable Aperture Lensless Transmission Microscopy: A Novel Phase Retrieval Algorithm,” Phys. Rev. Lett. 93(2), 023903 (2004).
[Crossref] [PubMed]

Ferraro, P.

Fienup, J. R.

Finizio, A.

Fontana, A.

F. Merola, P. Memmolo, L. Miccio, R. Savoia, M. Mugnano, A. Fontana, G. D’Ippolito, A. Sardo, A. Iolascon, A. Gambale, and P. Ferraro, “Tomographic Flow Cytometry by Digital Holography,” Light Sci. Appl. 6(4), e16241 (2017).
[Crossref]

Gambale, A.

F. Merola, P. Memmolo, L. Miccio, R. Savoia, M. Mugnano, A. Fontana, G. D’Ippolito, A. Sardo, A. Iolascon, A. Gambale, and P. Ferraro, “Tomographic Flow Cytometry by Digital Holography,” Light Sci. Appl. 6(4), e16241 (2017).
[Crossref]

Gao, S.

W. Yu, S. Wang, S. Veetil, S. Gao, C. Liu, and J. Zhu, “High-quality image reconstruction method for ptychography with partially coherent illumination,” Phys. Rev. B 93(24), 241105 (2016).
[Crossref]

Geltrude, A.

Gerchberg, R.

R. Gerchberg, “Super-resolution through error energy reduction,” J. Mod. Opt. 21(9), 709–720 (1974).

R. Gerchberg and W. Saxton, “A practical algorithm for the determination of the phase from image and diffraction plane pictures,” Optik (Stuttg.) 35, 237–250 (1972).

Han, K.

H. Majeed, M. E. Kandel, K. Han, Z. Luo, V. Macias, K. Tangella, A. Balla, and G. Popescu, “Breast cancer diagnosis using spatial light interference microscopy,” J. Biomed. Opt. 20(11), 111210 (2015).
[Crossref] [PubMed]

He, X.

W. Yu, X. Tian, X. He, X. Song, L. Xue, C. Liu, and S. Wang, “Real time quantitative phase microscopy based on single–shot transport of intensity equation (ssTIE) method,” Appl. Phys. Lett. 109(7), 071112 (2016).
[Crossref]

Horstmeyer, R.

G. Zheng, R. Horstmeyer, and C. Yang, “Wide-field, high-resolution Fourier ptychographic microscopy,” Nat. Photonics 7(9), 739–745 (2013).
[Crossref] [PubMed]

Huang, H.

X. Meng, H. Huang, K. Yan, X. Tian, W. Yu, H. Cui, Y. Kong, L. Xue, C. Liu, and S. Wang, “Smartphone based hand-held quantitative phase microscope using the transport of intensity equation method,” Lab Chip 17(1), 104–109 (2017).
[Crossref] [PubMed]

Hüe, F.

F. Hüe, J. Rodenburg, A. Maiden, F. Sweeney, and P. Midgley, “Wave-front phase retrieval in transmission electron microscopy via ptychography,” Phys. Rev. B 82(82), 7171 (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.

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]

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]

Iolascon, A.

F. Merola, P. Memmolo, L. Miccio, R. Savoia, M. Mugnano, A. Fontana, G. D’Ippolito, A. Sardo, A. Iolascon, A. Gambale, and P. Ferraro, “Tomographic Flow Cytometry by Digital Holography,” Light Sci. Appl. 6(4), e16241 (2017).
[Crossref]

Javidi, B.

V. Bianco, P. Memmolo, M. Paturzo, A. Finizio, B. Javidi, and P. Ferraro, “Quasi noise-free digital holography,” Light Sci. Appl. 5(9), e16142 (2016).
[Crossref]

P. Memmolo, C. Distante, M. Paturzo, A. Finizio, P. Ferraro, and B. Javidi, “Automatic focusing in digital holography and its application to stretched holograms,” Opt. Lett. 36(10), 1945–1947 (2011).
[Crossref] [PubMed]

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

Jiang, W.

Johnson, I.

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]

Kandel, M. E.

H. Majeed, M. E. Kandel, K. Han, Z. Luo, V. Macias, K. Tangella, A. Balla, and G. Popescu, “Breast cancer diagnosis using spatial light interference microscopy,” J. Biomed. Opt. 20(11), 111210 (2015).
[Crossref] [PubMed]

Kim, K.

Kong, Y.

X. Meng, H. Huang, K. Yan, X. Tian, W. Yu, H. Cui, Y. Kong, L. Xue, C. Liu, and S. Wang, “Smartphone based hand-held quantitative phase microscope using the transport of intensity equation method,” Lab Chip 17(1), 104–109 (2017).
[Crossref] [PubMed]

Kou, S. S.

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]

Kuang, C.

Lee, J.

Liu, C.

X. Meng, H. Huang, K. Yan, X. Tian, W. Yu, H. Cui, Y. Kong, L. Xue, C. Liu, and S. Wang, “Smartphone based hand-held quantitative phase microscope using the transport of intensity equation method,” Lab Chip 17(1), 104–109 (2017).
[Crossref] [PubMed]

W. Yu, X. Tian, X. He, X. Song, L. Xue, C. Liu, and S. Wang, “Real time quantitative phase microscopy based on single–shot transport of intensity equation (ssTIE) method,” Appl. Phys. Lett. 109(7), 071112 (2016).
[Crossref]

X. Tian, W. Yu, X. Meng, A. Sun, L. Xue, C. Liu, and S. Wang, “Real-time quantitative phase imaging based on transport of intensity equation with dual simultaneously recorded field of view,” Opt. Lett. 41(7), 1427–1430 (2016).
[Crossref] [PubMed]

X. Tian, X. Meng, W. Yu, X. Song, L. Xue, C. Liu, and S. Wang, “In–focus quantitative intensity and phase imaging with numerical focusing transport of intensity equation method,” J. Opt. 18(10), 105302 (2016).
[Crossref]

W. Yu, S. Wang, S. Veetil, S. Gao, C. Liu, and J. Zhu, “High-quality image reconstruction method for ptychography with partially coherent illumination,” Phys. Rev. B 93(24), 241105 (2016).
[Crossref]

X. Pan, C. Liu, and J. Zhu, “Single shot ptychographical iterative engine based on multi-beam illumination,” Appl. Phys. Lett. 103(17), 171105 (2013).
[Crossref]

Locatelli, M.

Luo, Y.

Luo, Z.

H. Majeed, M. E. Kandel, K. Han, Z. Luo, V. Macias, K. Tangella, A. Balla, and G. Popescu, “Breast cancer diagnosis using spatial light interference microscopy,” J. Biomed. Opt. 20(11), 111210 (2015).
[Crossref] [PubMed]

Ma, Y.

Macias, V.

H. Majeed, M. E. Kandel, K. Han, Z. Luo, V. Macias, K. Tangella, A. Balla, and G. Popescu, “Breast cancer diagnosis using spatial light interference microscopy,” J. Biomed. Opt. 20(11), 111210 (2015).
[Crossref] [PubMed]

Maiden, A.

F. Hüe, J. Rodenburg, A. Maiden, F. Sweeney, and P. Midgley, “Wave-front phase retrieval in transmission electron microscopy via ptychography,” Phys. Rev. B 82(82), 7171 (2010).

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]

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

Majeed, H.

H. Majeed, M. E. Kandel, K. Han, Z. Luo, V. Macias, K. Tangella, A. Balla, and G. Popescu, “Breast cancer diagnosis using spatial light interference microscopy,” J. Biomed. Opt. 20(11), 111210 (2015).
[Crossref] [PubMed]

McLeod, E.

A. Ozcan and E. McLeod, “Lensless Imaging and Sensing,” Annu. Rev. Biomed. Eng. 18(18), 77–102 (2016).
[Crossref] [PubMed]

Memmolo, P.

F. Merola, P. Memmolo, L. Miccio, R. Savoia, M. Mugnano, A. Fontana, G. D’Ippolito, A. Sardo, A. Iolascon, A. Gambale, and P. Ferraro, “Tomographic Flow Cytometry by Digital Holography,” Light Sci. Appl. 6(4), e16241 (2017).
[Crossref]

V. Bianco, P. Memmolo, M. Paturzo, A. Finizio, B. Javidi, and P. Ferraro, “Quasi noise-free digital holography,” Light Sci. Appl. 5(9), e16142 (2016).
[Crossref]

P. Memmolo, C. Distante, M. Paturzo, A. Finizio, P. Ferraro, and B. Javidi, “Automatic focusing in digital holography and its application to stretched holograms,” Opt. Lett. 36(10), 1945–1947 (2011).
[Crossref] [PubMed]

Meng, X.

X. Meng, H. Huang, K. Yan, X. Tian, W. Yu, H. Cui, Y. Kong, L. Xue, C. Liu, and S. Wang, “Smartphone based hand-held quantitative phase microscope using the transport of intensity equation method,” Lab Chip 17(1), 104–109 (2017).
[Crossref] [PubMed]

X. Tian, X. Meng, W. Yu, X. Song, L. Xue, C. Liu, and S. Wang, “In–focus quantitative intensity and phase imaging with numerical focusing transport of intensity equation method,” J. Opt. 18(10), 105302 (2016).
[Crossref]

X. Tian, W. Yu, X. Meng, A. Sun, L. Xue, C. Liu, and S. Wang, “Real-time quantitative phase imaging based on transport of intensity equation with dual simultaneously recorded field of view,” Opt. Lett. 41(7), 1427–1430 (2016).
[Crossref] [PubMed]

Menzel, A.

Merola, F.

F. Merola, P. Memmolo, L. Miccio, R. Savoia, M. Mugnano, A. Fontana, G. D’Ippolito, A. Sardo, A. Iolascon, A. Gambale, and P. Ferraro, “Tomographic Flow Cytometry by Digital Holography,” Light Sci. Appl. 6(4), e16241 (2017).
[Crossref]

Meucci, R.

Miccio, L.

F. Merola, P. Memmolo, L. Miccio, R. Savoia, M. Mugnano, A. Fontana, G. D’Ippolito, A. Sardo, A. Iolascon, A. Gambale, and P. Ferraro, “Tomographic Flow Cytometry by Digital Holography,” Light Sci. Appl. 6(4), e16241 (2017).
[Crossref]

Midgley, P.

F. Hüe, J. Rodenburg, A. Maiden, F. Sweeney, and P. Midgley, “Wave-front phase retrieval in transmission electron microscopy via ptychography,” Phys. Rev. B 82(82), 7171 (2010).

Mir, M.

M. Mir, B. Bhaduri, R. Wang, R. Zhu, and G. Popescu, “Quantitative Phase Imaging,” Prog. Opt. 57, 133–217 (2012).
[Crossref]

Mugnano, M.

F. Merola, P. Memmolo, L. Miccio, R. Savoia, M. Mugnano, A. Fontana, G. D’Ippolito, A. Sardo, A. Iolascon, A. Gambale, and P. Ferraro, “Tomographic Flow Cytometry by Digital Holography,” Light Sci. Appl. 6(4), e16241 (2017).
[Crossref]

Ozcan, A.

A. Ozcan and E. McLeod, “Lensless Imaging and Sensing,” Annu. Rev. Biomed. Eng. 18(18), 77–102 (2016).
[Crossref] [PubMed]

Pan, X.

X. Pan, C. Liu, and J. Zhu, “Single shot ptychographical iterative engine based on multi-beam illumination,” Appl. Phys. Lett. 103(17), 171105 (2013).
[Crossref]

Park, Y.

Paturzo, M.

Pelagotti, A.

Peterson, I.

Petruccelli, J. C.

Pfeiffer, F.

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]

Pierattini, G.

Popescu, G.

H. Majeed, M. E. Kandel, K. Han, Z. Luo, V. Macias, K. Tangella, A. Balla, and G. Popescu, “Breast cancer diagnosis using spatial light interference microscopy,” J. Biomed. Opt. 20(11), 111210 (2015).
[Crossref] [PubMed]

M. Mir, B. Bhaduri, R. Wang, R. Zhu, and G. Popescu, “Quantitative Phase Imaging,” Prog. Opt. 57, 133–217 (2012).
[Crossref]

Robinson, I. K.

Rodenburg, J.

F. Hüe, J. Rodenburg, A. Maiden, F. Sweeney, and P. Midgley, “Wave-front phase retrieval in transmission electron microscopy via ptychography,” Phys. Rev. B 82(82), 7171 (2010).

F. Zhang and J. Rodenburg, “Phase retrieval based on wave-front relay and modulation,” Phys. Rev. B 82(12), 121104 (2010).
[Crossref]

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

Rodenburg, J. M.

D. Claus and J. M. Rodenburg, “Pixel size adjustment in coherent diffractive imaging within the Rayleigh-Sommerfeld regime,” Appl. Opt. 54(8), 1936–1944 (2015).
[Crossref] [PubMed]

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. 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, 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]

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]

H. M. 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. Faulkner and J. M. Rodenburg, “Movable Aperture Lensless Transmission Microscopy: A Novel Phase Retrieval Algorithm,” Phys. Rev. Lett. 93(2), 023903 (2004).
[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]

Sardo, A.

F. Merola, P. Memmolo, L. Miccio, R. Savoia, M. Mugnano, A. Fontana, G. D’Ippolito, A. Sardo, A. Iolascon, A. Gambale, and P. Ferraro, “Tomographic Flow Cytometry by Digital Holography,” Light Sci. Appl. 6(4), e16241 (2017).
[Crossref]

Savoia, R.

F. Merola, P. Memmolo, L. Miccio, R. Savoia, M. Mugnano, A. Fontana, G. D’Ippolito, A. Sardo, A. Iolascon, A. Gambale, and P. Ferraro, “Tomographic Flow Cytometry by Digital Holography,” Light Sci. Appl. 6(4), e16241 (2017).
[Crossref]

Saxton, W.

R. Gerchberg and W. Saxton, “A practical algorithm for the determination of the phase from image and diffraction plane pictures,” Optik (Stuttg.) 35, 237–250 (1972).

Sheppard, C. J.

Shin, S.

Sidorenko, P.

So, P. T.

Song, X.

X. Tian, X. Meng, W. Yu, X. Song, L. Xue, C. Liu, and S. Wang, “In–focus quantitative intensity and phase imaging with numerical focusing transport of intensity equation method,” J. Opt. 18(10), 105302 (2016).
[Crossref]

W. Yu, X. Tian, X. He, X. Song, L. Xue, C. Liu, and S. Wang, “Real time quantitative phase microscopy based on single–shot transport of intensity equation (ssTIE) method,” Appl. Phys. Lett. 109(7), 071112 (2016).
[Crossref]

Sun, A.

Sweeney, F.

F. Hüe, J. Rodenburg, A. Maiden, F. Sweeney, and P. Midgley, “Wave-front phase retrieval in transmission electron microscopy via ptychography,” Phys. Rev. B 82(82), 7171 (2010).

Tangella, K.

H. Majeed, M. E. Kandel, K. Han, Z. Luo, V. Macias, K. Tangella, A. Balla, and G. Popescu, “Breast cancer diagnosis using spatial light interference microscopy,” J. Biomed. Opt. 20(11), 111210 (2015).
[Crossref] [PubMed]

Tian, L.

Tian, X.

X. Meng, H. Huang, K. Yan, X. Tian, W. Yu, H. Cui, Y. Kong, L. Xue, C. Liu, and S. Wang, “Smartphone based hand-held quantitative phase microscope using the transport of intensity equation method,” Lab Chip 17(1), 104–109 (2017).
[Crossref] [PubMed]

X. Tian, X. Meng, W. Yu, X. Song, L. Xue, C. Liu, and S. Wang, “In–focus quantitative intensity and phase imaging with numerical focusing transport of intensity equation method,” J. Opt. 18(10), 105302 (2016).
[Crossref]

W. Yu, X. Tian, X. He, X. Song, L. Xue, C. Liu, and S. Wang, “Real time quantitative phase microscopy based on single–shot transport of intensity equation (ssTIE) method,” Appl. Phys. Lett. 109(7), 071112 (2016).
[Crossref]

X. Tian, W. Yu, X. Meng, A. Sun, L. Xue, C. Liu, and S. Wang, “Real-time quantitative phase imaging based on transport of intensity equation with dual simultaneously recorded field of view,” Opt. Lett. 41(7), 1427–1430 (2016).
[Crossref] [PubMed]

Veetil, S.

W. Yu, S. Wang, S. Veetil, S. Gao, C. Liu, and J. Zhu, “High-quality image reconstruction method for ptychography with partially coherent illumination,” Phys. Rev. B 93(24), 241105 (2016).
[Crossref]

Vila-Comamala, J.

Waller, L.

Wang, R.

M. Mir, B. Bhaduri, R. Wang, R. Zhu, and G. Popescu, “Quantitative Phase Imaging,” Prog. Opt. 57, 133–217 (2012).
[Crossref]

Wang, S.

X. Meng, H. Huang, K. Yan, X. Tian, W. Yu, H. Cui, Y. Kong, L. Xue, C. Liu, and S. Wang, “Smartphone based hand-held quantitative phase microscope using the transport of intensity equation method,” Lab Chip 17(1), 104–109 (2017).
[Crossref] [PubMed]

W. Yu, X. Tian, X. He, X. Song, L. Xue, C. Liu, and S. Wang, “Real time quantitative phase microscopy based on single–shot transport of intensity equation (ssTIE) method,” Appl. Phys. Lett. 109(7), 071112 (2016).
[Crossref]

X. Tian, X. Meng, W. Yu, X. Song, L. Xue, C. Liu, and S. Wang, “In–focus quantitative intensity and phase imaging with numerical focusing transport of intensity equation method,” J. Opt. 18(10), 105302 (2016).
[Crossref]

X. Tian, W. Yu, X. Meng, A. Sun, L. Xue, C. Liu, and S. Wang, “Real-time quantitative phase imaging based on transport of intensity equation with dual simultaneously recorded field of view,” Opt. Lett. 41(7), 1427–1430 (2016).
[Crossref] [PubMed]

W. Yu, S. Wang, S. Veetil, S. Gao, C. Liu, and J. Zhu, “High-quality image reconstruction method for ptychography with partially coherent illumination,” Phys. Rev. B 93(24), 241105 (2016).
[Crossref]

Xue, L.

X. Meng, H. Huang, K. Yan, X. Tian, W. Yu, H. Cui, Y. Kong, L. Xue, C. Liu, and S. Wang, “Smartphone based hand-held quantitative phase microscope using the transport of intensity equation method,” Lab Chip 17(1), 104–109 (2017).
[Crossref] [PubMed]

X. Tian, X. Meng, W. Yu, X. Song, L. Xue, C. Liu, and S. Wang, “In–focus quantitative intensity and phase imaging with numerical focusing transport of intensity equation method,” J. Opt. 18(10), 105302 (2016).
[Crossref]

W. Yu, X. Tian, X. He, X. Song, L. Xue, C. Liu, and S. Wang, “Real time quantitative phase microscopy based on single–shot transport of intensity equation (ssTIE) method,” Appl. Phys. Lett. 109(7), 071112 (2016).
[Crossref]

X. Tian, W. Yu, X. Meng, A. Sun, L. Xue, C. Liu, and S. Wang, “Real-time quantitative phase imaging based on transport of intensity equation with dual simultaneously recorded field of view,” Opt. Lett. 41(7), 1427–1430 (2016).
[Crossref] [PubMed]

Yan, K.

X. Meng, H. Huang, K. Yan, X. Tian, W. Yu, H. Cui, Y. Kong, L. Xue, C. Liu, and S. Wang, “Smartphone based hand-held quantitative phase microscope using the transport of intensity equation method,” Lab Chip 17(1), 104–109 (2017).
[Crossref] [PubMed]

Yang, C.

G. Zheng, R. Horstmeyer, and C. Yang, “Wide-field, high-resolution Fourier ptychographic microscopy,” Nat. Photonics 7(9), 739–745 (2013).
[Crossref] [PubMed]

Yang, S. Y.

Yaqoob, Z.

Yoon, J.

Yu, W.

X. Meng, H. Huang, K. Yan, X. Tian, W. Yu, H. Cui, Y. Kong, L. Xue, C. Liu, and S. Wang, “Smartphone based hand-held quantitative phase microscope using the transport of intensity equation method,” Lab Chip 17(1), 104–109 (2017).
[Crossref] [PubMed]

W. Yu, X. Tian, X. He, X. Song, L. Xue, C. Liu, and S. Wang, “Real time quantitative phase microscopy based on single–shot transport of intensity equation (ssTIE) method,” Appl. Phys. Lett. 109(7), 071112 (2016).
[Crossref]

X. Tian, X. Meng, W. Yu, X. Song, L. Xue, C. Liu, and S. Wang, “In–focus quantitative intensity and phase imaging with numerical focusing transport of intensity equation method,” J. Opt. 18(10), 105302 (2016).
[Crossref]

X. Tian, W. Yu, X. Meng, A. Sun, L. Xue, C. Liu, and S. Wang, “Real-time quantitative phase imaging based on transport of intensity equation with dual simultaneously recorded field of view,” Opt. Lett. 41(7), 1427–1430 (2016).
[Crossref] [PubMed]

W. Yu, S. Wang, S. Veetil, S. Gao, C. Liu, and J. Zhu, “High-quality image reconstruction method for ptychography with partially coherent illumination,” Phys. Rev. B 93(24), 241105 (2016).
[Crossref]

Zhang, F.

Zhang, Y.

Zheng, G.

G. Zheng, R. Horstmeyer, and C. Yang, “Wide-field, high-resolution Fourier ptychographic microscopy,” Nat. Photonics 7(9), 739–745 (2013).
[Crossref] [PubMed]

Zhou, R.

Zhu, J.

W. Yu, S. Wang, S. Veetil, S. Gao, C. Liu, and J. Zhu, “High-quality image reconstruction method for ptychography with partially coherent illumination,” Phys. Rev. B 93(24), 241105 (2016).
[Crossref]

X. Pan, C. Liu, and J. Zhu, “Single shot ptychographical iterative engine based on multi-beam illumination,” Appl. Phys. Lett. 103(17), 171105 (2013).
[Crossref]

Zhu, R.

M. Mir, B. Bhaduri, R. Wang, R. Zhu, and G. Popescu, “Quantitative Phase Imaging,” Prog. Opt. 57, 133–217 (2012).
[Crossref]

Annu. Rev. Biomed. Eng. (1)

A. Ozcan and E. McLeod, “Lensless Imaging and Sensing,” Annu. Rev. Biomed. Eng. 18(18), 77–102 (2016).
[Crossref] [PubMed]

Appl. Opt. (2)

Appl. Phys. Lett. (3)

W. Yu, X. Tian, X. He, X. Song, L. Xue, C. Liu, and S. Wang, “Real time quantitative phase microscopy based on single–shot transport of intensity equation (ssTIE) method,” Appl. Phys. Lett. 109(7), 071112 (2016).
[Crossref]

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

X. Pan, C. Liu, and J. Zhu, “Single shot ptychographical iterative engine based on multi-beam illumination,” Appl. Phys. Lett. 103(17), 171105 (2013).
[Crossref]

J. Biomed. Opt. (1)

H. Majeed, M. E. Kandel, K. Han, Z. Luo, V. Macias, K. Tangella, A. Balla, and G. Popescu, “Breast cancer diagnosis using spatial light interference microscopy,” J. Biomed. Opt. 20(11), 111210 (2015).
[Crossref] [PubMed]

J. Mod. Opt. (1)

R. Gerchberg, “Super-resolution through error energy reduction,” J. Mod. Opt. 21(9), 709–720 (1974).

J. Opt. (1)

X. Tian, X. Meng, W. Yu, X. Song, L. Xue, C. Liu, and S. Wang, “In–focus quantitative intensity and phase imaging with numerical focusing transport of intensity equation method,” J. Opt. 18(10), 105302 (2016).
[Crossref]

Lab Chip (1)

X. Meng, H. Huang, K. Yan, X. Tian, W. Yu, H. Cui, Y. Kong, L. Xue, C. Liu, and S. Wang, “Smartphone based hand-held quantitative phase microscope using the transport of intensity equation method,” Lab Chip 17(1), 104–109 (2017).
[Crossref] [PubMed]

Light Sci. Appl. (2)

V. Bianco, P. Memmolo, M. Paturzo, A. Finizio, B. Javidi, and P. Ferraro, “Quasi noise-free digital holography,” Light Sci. Appl. 5(9), e16142 (2016).
[Crossref]

F. Merola, P. Memmolo, L. Miccio, R. Savoia, M. Mugnano, A. Fontana, G. D’Ippolito, A. Sardo, A. Iolascon, A. Gambale, and P. Ferraro, “Tomographic Flow Cytometry by Digital Holography,” Light Sci. Appl. 6(4), e16241 (2017).
[Crossref]

Nat. Photonics (1)

G. Zheng, R. Horstmeyer, and C. Yang, “Wide-field, high-resolution Fourier ptychographic microscopy,” Nat. Photonics 7(9), 739–745 (2013).
[Crossref] [PubMed]

Opt. Express (5)

Opt. Lett. (8)

S. Shin, K. Kim, J. Yoon, and Y. Park, “Active illumination using a digital micromirror device for quantitative phase imaging,” Opt. Lett. 40(22), 5407–5410 (2015).
[Crossref] [PubMed]

P. Memmolo, C. Distante, M. Paturzo, A. Finizio, P. Ferraro, and B. Javidi, “Automatic focusing in digital holography and its application to stretched holograms,” Opt. Lett. 36(10), 1945–1947 (2011).
[Crossref] [PubMed]

J. R. Fienup, “Reconstruction of an object from the modulus of its Fourier transform,” Opt. Lett. 3(1), 27–29 (1978).
[Crossref] [PubMed]

L. Tian, J. C. Petruccelli, and G. Barbastathis, “Nonlinear diffusion regularization for transport of intensity phase imaging,” Opt. Lett. 37(19), 4131–4133 (2012).
[Crossref] [PubMed]

P. Ferraro, G. Coppola, S. De Nicola, A. Finizio, and G. Pierattini, “Digital holographic microscope with automatic focus tracking by detecting sample displacement in real time,” Opt. Lett. 28(14), 1257–1259 (2003).
[Crossref] [PubMed]

S. S. Kou, L. Waller, G. Barbastathis, and C. J. Sheppard, “Transport-of-intensity approach to differential interference contrast (TI-DIC) microscopy for quantitative phase imaging,” Opt. Lett. 35(3), 447–449 (2010).
[Crossref] [PubMed]

L. Waller, Y. Luo, S. Y. Yang, and G. Barbastathis, “Transport of intensity phase imaging in a volume holographic microscope,” Opt. Lett. 35(17), 2961–2963 (2010).
[Crossref] [PubMed]

X. Tian, W. Yu, X. Meng, A. Sun, L. Xue, C. Liu, and S. Wang, “Real-time quantitative phase imaging based on transport of intensity equation with dual simultaneously recorded field of view,” Opt. Lett. 41(7), 1427–1430 (2016).
[Crossref] [PubMed]

Optica (1)

Optik (Stuttg.) (1)

R. Gerchberg and W. Saxton, “A practical algorithm for the determination of the phase from image and diffraction plane pictures,” Optik (Stuttg.) 35, 237–250 (1972).

Phys. Rev. B (3)

F. Zhang and J. Rodenburg, “Phase retrieval based on wave-front relay and modulation,” Phys. Rev. B 82(12), 121104 (2010).
[Crossref]

F. Hüe, J. Rodenburg, A. Maiden, F. Sweeney, and P. Midgley, “Wave-front phase retrieval in transmission electron microscopy via ptychography,” Phys. Rev. B 82(82), 7171 (2010).

W. Yu, S. Wang, S. Veetil, S. Gao, C. Liu, and J. Zhu, “High-quality image reconstruction method for ptychography with partially coherent illumination,” Phys. Rev. B 93(24), 241105 (2016).
[Crossref]

Phys. Rev. Lett. (2)

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. Faulkner and J. M. Rodenburg, “Movable Aperture Lensless Transmission Microscopy: A Novel Phase Retrieval Algorithm,” Phys. Rev. Lett. 93(2), 023903 (2004).
[Crossref] [PubMed]

Prog. Opt. (1)

M. Mir, B. Bhaduri, R. Wang, R. Zhu, and G. Popescu, “Quantitative Phase Imaging,” Prog. Opt. 57, 133–217 (2012).
[Crossref]

Ultramicroscopy (4)

H. M. 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]

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

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Figures (3)

Fig. 1
Fig. 1 (A) Scheme of DMD based PIE. (B)Flow chart of PIE retrieval algorithm.
Fig. 2
Fig. 2 (A) Quantitative imaging of stem cutting of monocot plant with a FoV of 147.08 mm2. Top insets are recorded diffractions at corresponding positions, Bottom insets are magnified modulus and phase distributions in red box. White bar in (A) indicates 2 mm. (B) and (C) Retrieved modulus and pahse distributions of Corn Stems and Umbrella Plant with the same FoV as 10 × , respectively. White bar in (B) indicates 1 mm.
Fig. 3
Fig. 3 Certification with standard sample. (A)–(C) Retrieved amplitudes of 1951 USAF resolution test chart in different FoVs. Amplitude distributions of line pairs of the sixth group, forth element along the section line in both vertical and horizontal directions are shown in (C). (D) Residual error of the reconstruction changing with different iterations.

Equations (5)

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O n ( r ) = O n ( r ) + | P n ( r ) | | P n ( r ) max | P n * ( r ) ( | P n ( r ) | 2 + α ) × β ( ψ n ( r ) ψ n ( r ) )
P n ( r ) = P n ( r ) + | O n ( r ) | | O n ( r ) max | O n * ( r ) ( | O n ( r ) | 2 + α ) × β ( ψ n ( r ) ψ n ( r ) )
S n ( r ) = F { P n ' ( r ) } = { F { P n ' ( r ) } r H ( r ) 0 r H ( r ) }
P n ( r R N ) = F { S n ( r R N ) }
E r r o r = u | I ( u ) | Ψ n ( u ) | | 2 u I ( u )

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