Abstract

In this Letter, we present referenceless phase retrieval methods with resolution enhancement. Structured illuminations with different orientations and phase shifts are generated by a spatial light modulator and are used to illuminate the specimen. The generated diffraction patterns are recorded by a CCD camera, and the phase of the wavefront is reconstructed from these patterns.

© 2013 Optical Society of America

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2013 (5)

2011 (2)

2010 (2)

2009 (2)

2008 (3)

B. Kemper and G. V. Bally, Appl. Opt. 47, A52 (2008).
[CrossRef]

P. Bao, F. Zhang, G. Pedrini, and W. Osten, Opt. Lett. 33, 309 (2008).
[CrossRef]

Y. J. Liu, B. Chen, E. R. Li, J. Y. Wang, A. Marcelli, S. W. Wilkins, H. Ming, Y. C. Tian, K. A. Nugent, P. P. Zhu, and Z. Y. Wu, Phys. Rev. A 78, 023817 (2008).
[CrossRef]

2007 (2)

F. Zhang, G. Pedrini, and W. Osten, Phys. Rev. A 75, 043805 (2007).
[CrossRef]

B. Littleton, K. Lai, D. Longstaff, V. Sarafis, P. Munroe, N. Heckenberg, and H. Rubinsztein-Dunlop, Micron 38, 150 (2007).
[CrossRef]

2006 (5)

N. Sandeau and H. Giovannini, J. Opt. Soc. Am. A 23, 1089 (2006).
[CrossRef]

V. Mico, Z. Zalevsky, and J. García, Opt. Express 14, 5168 (2006).
[CrossRef]

P. Almoro, G. Pedrini, and W. Osten, Appl. Opt. 45, 8596 (2006).
[CrossRef]

S. A. Alexandrov, T. R. Hillman, T. Gutzler, and D. D. Sampson, Phys. Rev. Lett. 97, 168102 (2006).
[CrossRef]

G. Popescu, T. Ikeda, K. Goda, C. A. Best-Popescu, M. Laposata, S. Manley, R. R. Dasari, K. Badizadegan, and M. S. Feld, Phys. Rev. Lett. 97, 218101 (2006).
[CrossRef]

2005 (2)

2004 (2)

H. M. L. Faulkner and J. M. Rodenburg, Phys. Rev. Lett. 93, 023903 (2004).
[CrossRef]

J. M. Rodenburg and H. M. L. Faulkner, Appl. Phys. Lett. 85, 4795 (2004).
[CrossRef]

2003 (1)

2001 (1)

B. C. Platt and R. Shack, J. Refr. Surg. 17, S573 (2001).

2000 (2)

1988 (1)

R. T. Frankot and Z. Chellappa, IEEE Trans. Pattern Anal. Mach. Intell. 10, 439 (1988).
[CrossRef]

1966 (1)

Alexandrov, S. A.

R. Hillman, T. Gutzler, S. A. Alexandrov, and D. D. Sampson, Opt. Express 17, 7873 (2009).
[CrossRef]

S. A. Alexandrov, T. R. Hillman, T. Gutzler, and D. D. Sampson, Phys. Rev. Lett. 97, 168102 (2006).
[CrossRef]

Almoro, P.

Badizadegan, K.

G. Popescu, T. Ikeda, K. Goda, C. A. Best-Popescu, M. Laposata, S. Manley, R. R. Dasari, K. Badizadegan, and M. S. Feld, Phys. Rev. Lett. 97, 218101 (2006).
[CrossRef]

Bally, G. V.

Bao, P.

Bergmann, R.-B.

Best-Popescu, C. A.

G. Popescu, T. Ikeda, K. Goda, C. A. Best-Popescu, M. Laposata, S. Manley, R. R. Dasari, K. Badizadegan, and M. S. Feld, Phys. Rev. Lett. 97, 218101 (2006).
[CrossRef]

Bon, P.

Born, M.

M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge University, 1999).

Brueck, S. R. J.

Chellappa, Z.

R. T. Frankot and Z. Chellappa, IEEE Trans. Pattern Anal. Mach. Intell. 10, 439 (1988).
[CrossRef]

Chen, B.

Y. J. Liu, B. Chen, E. R. Li, J. Y. Wang, A. Marcelli, S. W. Wilkins, H. Ming, Y. C. Tian, K. A. Nugent, P. P. Zhu, and Z. Y. Wu, Phys. Rev. A 78, 023817 (2008).
[CrossRef]

Chowdhury, S.

Costa, J. B.

Cuche, E.

Dasari, R. R.

G. Popescu, T. Ikeda, K. Goda, C. A. Best-Popescu, M. Laposata, S. Manley, R. R. Dasari, K. Badizadegan, and M. S. Feld, Phys. Rev. Lett. 97, 218101 (2006).
[CrossRef]

Depeursinge, C.

Eigenthaler, U.

Falldorf, C.

Faridian, A.

Faulkner, H. M. L.

H. M. L. Faulkner and J. M. Rodenburg, Phys. Rev. Lett. 93, 023903 (2004).
[CrossRef]

J. M. Rodenburg and H. M. L. Faulkner, Appl. Phys. Lett. 85, 4795 (2004).
[CrossRef]

Feld, M. S.

G. Popescu, T. Ikeda, K. Goda, C. A. Best-Popescu, M. Laposata, S. Manley, R. R. Dasari, K. Badizadegan, and M. S. Feld, Phys. Rev. Lett. 97, 218101 (2006).
[CrossRef]

Frankot, R. T.

R. T. Frankot and Z. Chellappa, IEEE Trans. Pattern Anal. Mach. Intell. 10, 439 (1988).
[CrossRef]

Gao, P.

García, J.

Giovannini, H.

Goda, K.

G. Popescu, T. Ikeda, K. Goda, C. A. Best-Popescu, M. Laposata, S. Manley, R. R. Dasari, K. Badizadegan, and M. S. Feld, Phys. Rev. Lett. 97, 218101 (2006).
[CrossRef]

Gustafsson, M. G. L.

M. G. L. Gustafsson, J. Microsc. 198, 82 (2000).
[CrossRef]

Gutzler, T.

R. Hillman, T. Gutzler, S. A. Alexandrov, and D. D. Sampson, Opt. Express 17, 7873 (2009).
[CrossRef]

S. A. Alexandrov, T. R. Hillman, T. Gutzler, and D. D. Sampson, Phys. Rev. Lett. 97, 168102 (2006).
[CrossRef]

Heckenberg, N.

B. Littleton, K. Lai, D. Longstaff, V. Sarafis, P. Munroe, N. Heckenberg, and H. Rubinsztein-Dunlop, Micron 38, 150 (2007).
[CrossRef]

Heggarty, K.

Hillman, R.

Hillman, T. R.

K. Lee, H.-D. Kim, K. Kim, Y. Kim, T. R. Hillman, B. Min, and Y. Park, Opt. Express 21, 22453 (2013).
[CrossRef]

S. A. Alexandrov, T. R. Hillman, T. Gutzler, and D. D. Sampson, Phys. Rev. Lett. 97, 168102 (2006).
[CrossRef]

Hirscher, M.

Hopp, D.

Hussain, A.

Ikeda, T.

G. Popescu, T. Ikeda, K. Goda, C. A. Best-Popescu, M. Laposata, S. Manley, R. R. Dasari, K. Badizadegan, and M. S. Feld, Phys. Rev. Lett. 97, 218101 (2006).
[CrossRef]

Izatt, J.

Kemper, B.

Kim, H.-D.

Kim, K.

Kim, Y.

Kopylow, C. V.

Kuznetsova, Y.

Lai, K.

B. Littleton, K. Lai, D. Longstaff, V. Sarafis, P. Munroe, N. Heckenberg, and H. Rubinsztein-Dunlop, Micron 38, 150 (2007).
[CrossRef]

Laposata, M.

G. Popescu, T. Ikeda, K. Goda, C. A. Best-Popescu, M. Laposata, S. Manley, R. R. Dasari, K. Badizadegan, and M. S. Feld, Phys. Rev. Lett. 97, 218101 (2006).
[CrossRef]

Lee, K.

Li, E. R.

Y. J. Liu, B. Chen, E. R. Li, J. Y. Wang, A. Marcelli, S. W. Wilkins, H. Ming, Y. C. Tian, K. A. Nugent, P. P. Zhu, and Z. Y. Wu, Phys. Rev. A 78, 023817 (2008).
[CrossRef]

Littleton, B.

B. Littleton, K. Lai, D. Longstaff, V. Sarafis, P. Munroe, N. Heckenberg, and H. Rubinsztein-Dunlop, Micron 38, 150 (2007).
[CrossRef]

Liu, Y. J.

Y. J. Liu, B. Chen, E. R. Li, J. Y. Wang, A. Marcelli, S. W. Wilkins, H. Ming, Y. C. Tian, K. A. Nugent, P. P. Zhu, and Z. Y. Wu, Phys. Rev. A 78, 023817 (2008).
[CrossRef]

Longstaff, D.

B. Littleton, K. Lai, D. Longstaff, V. Sarafis, P. Munroe, N. Heckenberg, and H. Rubinsztein-Dunlop, Micron 38, 150 (2007).
[CrossRef]

Lukosz, W.

Ma, J.

Manley, S.

G. Popescu, T. Ikeda, K. Goda, C. A. Best-Popescu, M. Laposata, S. Manley, R. R. Dasari, K. Badizadegan, and M. S. Feld, Phys. Rev. Lett. 97, 218101 (2006).
[CrossRef]

Marcelli, A.

Y. J. Liu, B. Chen, E. R. Li, J. Y. Wang, A. Marcelli, S. W. Wilkins, H. Ming, Y. C. Tian, K. A. Nugent, P. P. Zhu, and Z. Y. Wu, Phys. Rev. A 78, 023817 (2008).
[CrossRef]

Marquet, P.

Maucort, G.

Mazine, A.

Mico, V.

Min, B.

Ming, H.

Y. J. Liu, B. Chen, E. R. Li, J. Y. Wang, A. Marcelli, S. W. Wilkins, H. Ming, Y. C. Tian, K. A. Nugent, P. P. Zhu, and Z. Y. Wu, Phys. Rev. A 78, 023817 (2008).
[CrossRef]

Monneret, S.

Mudassar, A.-A.

Munroe, P.

B. Littleton, K. Lai, D. Longstaff, V. Sarafis, P. Munroe, N. Heckenberg, and H. Rubinsztein-Dunlop, Micron 38, 150 (2007).
[CrossRef]

Nugent, K. A.

Y. J. Liu, B. Chen, E. R. Li, J. Y. Wang, A. Marcelli, S. W. Wilkins, H. Ming, Y. C. Tian, K. A. Nugent, P. P. Zhu, and Z. Y. Wu, Phys. Rev. A 78, 023817 (2008).
[CrossRef]

Osten, W.

Park, Y.

Pedrini, G.

Platt, B. C.

B. C. Platt and R. Shack, J. Refr. Surg. 17, S573 (2001).

Popescu, G.

G. Popescu, T. Ikeda, K. Goda, C. A. Best-Popescu, M. Laposata, S. Manley, R. R. Dasari, K. Badizadegan, and M. S. Feld, Phys. Rev. Lett. 97, 218101 (2006).
[CrossRef]

Rodenburg, J. M.

H. M. L. Faulkner and J. M. Rodenburg, Phys. Rev. Lett. 93, 023903 (2004).
[CrossRef]

J. M. Rodenburg and H. M. L. Faulkner, Appl. Phys. Lett. 85, 4795 (2004).
[CrossRef]

Rubinsztein-Dunlop, H.

B. Littleton, K. Lai, D. Longstaff, V. Sarafis, P. Munroe, N. Heckenberg, and H. Rubinsztein-Dunlop, Micron 38, 150 (2007).
[CrossRef]

Sampson, D. D.

R. Hillman, T. Gutzler, S. A. Alexandrov, and D. D. Sampson, Opt. Express 17, 7873 (2009).
[CrossRef]

S. A. Alexandrov, T. R. Hillman, T. Gutzler, and D. D. Sampson, Phys. Rev. Lett. 97, 168102 (2006).
[CrossRef]

Sandeau, N.

Sarafis, V.

B. Littleton, K. Lai, D. Longstaff, V. Sarafis, P. Munroe, N. Heckenberg, and H. Rubinsztein-Dunlop, Micron 38, 150 (2007).
[CrossRef]

Schwarz, C. J.

Shack, R.

B. C. Platt and R. Shack, J. Refr. Surg. 17, S573 (2001).

Situ, G.

Tian, Y. C.

Y. J. Liu, B. Chen, E. R. Li, J. Y. Wang, A. Marcelli, S. W. Wilkins, H. Ming, Y. C. Tian, K. A. Nugent, P. P. Zhu, and Z. Y. Wu, Phys. Rev. A 78, 023817 (2008).
[CrossRef]

Wang, J. Y.

Y. J. Liu, B. Chen, E. R. Li, J. Y. Wang, A. Marcelli, S. W. Wilkins, H. Ming, Y. C. Tian, K. A. Nugent, P. P. Zhu, and Z. Y. Wu, Phys. Rev. A 78, 023817 (2008).
[CrossRef]

Wattellier, B.

Wilkins, S. W.

Y. J. Liu, B. Chen, E. R. Li, J. Y. Wang, A. Marcelli, S. W. Wilkins, H. Ming, Y. C. Tian, K. A. Nugent, P. P. Zhu, and Z. Y. Wu, Phys. Rev. A 78, 023817 (2008).
[CrossRef]

Wolf, E.

M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge University, 1999).

Wu, Z. Y.

Y. J. Liu, B. Chen, E. R. Li, J. Y. Wang, A. Marcelli, S. W. Wilkins, H. Ming, Y. C. Tian, K. A. Nugent, P. P. Zhu, and Z. Y. Wu, Phys. Rev. A 78, 023817 (2008).
[CrossRef]

Yuan, C.

Zalevsky, Z.

Zhang, F.

P. Bao, F. Zhang, G. Pedrini, and W. Osten, Opt. Lett. 33, 309 (2008).
[CrossRef]

F. Zhang, G. Pedrini, and W. Osten, Phys. Rev. A 75, 043805 (2007).
[CrossRef]

Zhang, Y.

Zhu, P. P.

Y. J. Liu, B. Chen, E. R. Li, J. Y. Wang, A. Marcelli, S. W. Wilkins, H. Ming, Y. C. Tian, K. A. Nugent, P. P. Zhu, and Z. Y. Wu, Phys. Rev. A 78, 023817 (2008).
[CrossRef]

Appl. Opt. (7)

Appl. Phys. Lett. (1)

J. M. Rodenburg and H. M. L. Faulkner, Appl. Phys. Lett. 85, 4795 (2004).
[CrossRef]

Biomed. Opt. Express (1)

IEEE Trans. Pattern Anal. Mach. Intell. (1)

R. T. Frankot and Z. Chellappa, IEEE Trans. Pattern Anal. Mach. Intell. 10, 439 (1988).
[CrossRef]

J. Biomed. Opt. (1)

A. Faridian, G. Pedrini, and W. Osten, J. Biomed. Opt. 18, 086009 (2013).
[CrossRef]

J. Microsc. (1)

M. G. L. Gustafsson, J. Microsc. 198, 82 (2000).
[CrossRef]

J. Opt. Soc. Am. (1)

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

J. Refr. Surg. (1)

B. C. Platt and R. Shack, J. Refr. Surg. 17, S573 (2001).

Micron (1)

B. Littleton, K. Lai, D. Longstaff, V. Sarafis, P. Munroe, N. Heckenberg, and H. Rubinsztein-Dunlop, Micron 38, 150 (2007).
[CrossRef]

Opt. Express (5)

Opt. Lett. (4)

Phys. Rev. A (2)

Y. J. Liu, B. Chen, E. R. Li, J. Y. Wang, A. Marcelli, S. W. Wilkins, H. Ming, Y. C. Tian, K. A. Nugent, P. P. Zhu, and Z. Y. Wu, Phys. Rev. A 78, 023817 (2008).
[CrossRef]

F. Zhang, G. Pedrini, and W. Osten, Phys. Rev. A 75, 043805 (2007).
[CrossRef]

Phys. Rev. Lett. (3)

H. M. L. Faulkner and J. M. Rodenburg, Phys. Rev. Lett. 93, 023903 (2004).
[CrossRef]

G. Popescu, T. Ikeda, K. Goda, C. A. Best-Popescu, M. Laposata, S. Manley, R. R. Dasari, K. Badizadegan, and M. S. Feld, Phys. Rev. Lett. 97, 218101 (2006).
[CrossRef]

S. A. Alexandrov, T. R. Hillman, T. Gutzler, and D. D. Sampson, Phys. Rev. Lett. 97, 168102 (2006).
[CrossRef]

Other (2)

M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge University, 1999).

W. Osten and N. Reingand, eds., Optical Imaging and Metrology: Advanced Technologies (WILEY-VCH, 2012).

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Figures (6)

Fig. 1.
Fig. 1.

(a) Experimental setup and (b) recording of the diffraction pattern at the distance d behind the image plane.

Fig. 2.
Fig. 2.

Phase reconstruction of a phase sample. (a) Diffraction pattern under structured illumination; (b) and (c) phase images of Om,+1Om,1* and Om,+1*Om,1 for the zoomed area in (a) after the lateral shift are compensated; (d) average of the reconstructions in (b) and (c); (e) reconstructed phase (/2π) of the specimen.

Fig. 3.
Fig. 3.

Flowchart of the iteration process; ε the threshold value of the iteration, defined by 1e4·|O0|2.

Fig. 4.
Fig. 4.

Phase retrieval of the wing of mosquito. (a) Four binary phase gratings displayed on the SLM, (b) diffraction pattern under structured illumination, (c) zoom from the rectangular dashed area in (b), and (d) retrieved phase (in radiant).

Fig. 5.
Fig. 5.

Resolution comparison. (a) Reconstructed phase images obtained by the DHM with plane wave illumination (left part) and by the phase retrieval with structured illumination (right part). (b) Resolution comparison of the rectangular areas marked in (a). I and II denote the phase images reconstructed by the DHM and phase retrieval method for the selected areas.

Fig. 6.
Fig. 6.

Measurement of a slice of mouse kidney. (a) and (b) Diffraction patterns recorded with two sets of structured illuminations along x and y, (c) phase derivative in x direction (in radiants), and (d) reconstructed phase (rad). The arrow in (c) denotes the direction of the phase derivative.

Equations (6)

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

Aillumm,n=A0{exp[i(κ⃗m·r⃗+nα)]+exp[i(κ⃗m·r⃗+nα)]},
4Om,+1Om,1*=Im,4Im,2+i(Im,3Im,1),
4Om,+1*Om,1=Im,4Im,2i(Im,3Im,1),
Oimprov=18A02n=14Aobjm,n·Aillumm,n,
φx(y)(x,y)=Arg{Om,+1Om,1*exp(i2κ⃗m·r⃗)},
FT{φ}=iυxFT{φx}iυyFT{φx}2π(υx2+υy2),

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