Abstract

In this Letter we propose a method to enhance the limited depth of field (DOF) in optical imaging systems, through digital holography. The proposed approach is based on the introduction of a cubic phase plate into the diffraction integral, analogous to what occurs in white-light imaging systems. By this approach we show that it is possible to improve the DOF and to recover the extended focus image of a tilted object in a single reconstruction step. Moreover, we demonstrate the possibility of obtaining well-focused biological cells flowing into a tilted microfluidic channel.

© 2013 Optical Society of America

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[CrossRef]

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[CrossRef]

S. Gorthi and E. Schonbrun, Opt. Lett. 37, 707 (2012).
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P. Memmolo, G. Di Caprio, and C. Distante, Opt. Express 19, 23215 (2011).
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Y. Liao, J. Song, E. Li, Y. Luo, Y. Shen, D. Chen, Y. Cheng, Z. Xu, K. Sugioka, and K. Midorikawa, Lab Chip 12, 746 (2012).
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Chen, F.

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Dowski, E. R.

Elowitz, M. B.

G. Zheng, S. Lee, Y. Antebi, M. B. Elowitz, and C. Yang, Proc. Natl. Acad. Sci. USA 108, 16889 (2011).
[CrossRef]

Emery, Y.

Ferraro, P.

Finizio, A.

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A. Greenbaum, U. Sikora, and A. Ozcan, Lab Chip 12, 1242 (2012).
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He, S.

Heng, X.

X. Heng, L. Baugh, and Z. Yaqoob, Lab Chip 6, 1274 (2006).
[CrossRef]

Hou, X.

Javidi, B.

Korpel, A.

Kühn, J.

Lee, L. M.

J. Wu, G. Zheng, and L. M. Lee, Lab Chip 12, 3566 (2012).
[CrossRef]

Lee, S.

G. Zheng, S. Lee, Y. Antebi, M. B. Elowitz, and C. Yang, Proc. Natl. Acad. Sci. USA 108, 16889 (2011).
[CrossRef]

Li, E.

Y. Liao, J. Song, E. Li, Y. Luo, Y. Shen, D. Chen, Y. Cheng, Z. Xu, K. Sugioka, and K. Midorikawa, Lab Chip 12, 746 (2012).
[CrossRef]

Liao, Y.

Y. Liao, J. Song, E. Li, Y. Luo, Y. Shen, D. Chen, Y. Cheng, Z. Xu, K. Sugioka, and K. Midorikawa, Lab Chip 12, 746 (2012).
[CrossRef]

Liu, H.

Liu, K.

Luo, Y.

Y. Liao, J. Song, E. Li, Y. Luo, Y. Shen, D. Chen, Y. Cheng, Z. Xu, K. Sugioka, and K. Midorikawa, Lab Chip 12, 746 (2012).
[CrossRef]

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Memmolo, P.

Meng, X.

Midorikawa, K.

Y. Liao, J. Song, E. Li, Y. Luo, Y. Shen, D. Chen, Y. Cheng, Z. Xu, K. Sugioka, and K. Midorikawa, Lab Chip 12, 746 (2012).
[CrossRef]

Ortyn, W.

W. Ortyn, D. Perry, and V. Venkatachalam, Cytom. A 71A, 215 (2007).
[CrossRef]

Ozcan, A.

A. Greenbaum, U. Sikora, and A. Ozcan, Lab Chip 12, 1242 (2012).
[CrossRef]

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W. Ortyn, D. Perry, and V. Venkatachalam, Cytom. A 71A, 215 (2007).
[CrossRef]

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P. Memmolo, R. Puglisi, D. Balduzzi, A. Galli, and P. Ferraro, Lab Chip 12, 3073 (2012).
[CrossRef]

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Y. Liao, J. Song, E. Li, Y. Luo, Y. Shen, D. Chen, Y. Cheng, Z. Xu, K. Sugioka, and K. Midorikawa, Lab Chip 12, 746 (2012).
[CrossRef]

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Si, J.

Sikora, U.

A. Greenbaum, U. Sikora, and A. Ozcan, Lab Chip 12, 1242 (2012).
[CrossRef]

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Y. Liao, J. Song, E. Li, Y. Luo, Y. Shen, D. Chen, Y. Cheng, Z. Xu, K. Sugioka, and K. Midorikawa, Lab Chip 12, 746 (2012).
[CrossRef]

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Y. Liao, J. Song, E. Li, Y. Luo, Y. Shen, D. Chen, Y. Cheng, Z. Xu, K. Sugioka, and K. Midorikawa, Lab Chip 12, 746 (2012).
[CrossRef]

Venkatachalam, V.

W. Ortyn, D. Perry, and V. Venkatachalam, Cytom. A 71A, 215 (2007).
[CrossRef]

Wu, J.

J. Wu, G. Zheng, and L. M. Lee, Lab Chip 12, 3566 (2012).
[CrossRef]

Xu, Z.

Y. Liao, J. Song, E. Li, Y. Luo, Y. Shen, D. Chen, Y. Cheng, Z. Xu, K. Sugioka, and K. Midorikawa, Lab Chip 12, 746 (2012).
[CrossRef]

Yang, C.

G. Zheng, S. Lee, Y. Antebi, M. B. Elowitz, and C. Yang, Proc. Natl. Acad. Sci. USA 108, 16889 (2011).
[CrossRef]

Yang, Q.

Yaqoob, Z.

X. Heng, L. Baugh, and Z. Yaqoob, Lab Chip 6, 1274 (2006).
[CrossRef]

Zhao, Y.

Zheng, G.

J. Wu, G. Zheng, and L. M. Lee, Lab Chip 12, 3566 (2012).
[CrossRef]

G. Zheng, S. Lee, Y. Antebi, M. B. Elowitz, and C. Yang, Proc. Natl. Acad. Sci. USA 108, 16889 (2011).
[CrossRef]

Appl. Opt.

Cytom. A

W. Ortyn, D. Perry, and V. Venkatachalam, Cytom. A 71A, 215 (2007).
[CrossRef]

J. Disp. Technol.

M. Paturzo and A. Finizio, J. Disp. Technol. 7, 24 (2011).
[CrossRef]

Lab Chip

P. Memmolo, R. Puglisi, D. Balduzzi, A. Galli, and P. Ferraro, Lab Chip 12, 3073 (2012).
[CrossRef]

A. Greenbaum, U. Sikora, and A. Ozcan, Lab Chip 12, 1242 (2012).
[CrossRef]

J. Wu, G. Zheng, and L. M. Lee, Lab Chip 12, 3566 (2012).
[CrossRef]

Y. Liao, J. Song, E. Li, Y. Luo, Y. Shen, D. Chen, Y. Cheng, Z. Xu, K. Sugioka, and K. Midorikawa, Lab Chip 12, 746 (2012).
[CrossRef]

X. Heng, L. Baugh, and Z. Yaqoob, Lab Chip 6, 1274 (2006).
[CrossRef]

Opt. Express

Opt. Lett.

Proc. Natl. Acad. Sci. USA

G. Zheng, S. Lee, Y. Antebi, M. B. Elowitz, and C. Yang, Proc. Natl. Acad. Sci. USA 108, 16889 (2011).
[CrossRef]

Supplementary Material (1)

» Media 1: MOV (3760 KB)     

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Figures (4)

Fig. 1.
Fig. 1.

Phase distribution of an (a) 2D and (c) 1D CPP, along the x coordinate. In (b) and (d) are shown their mod-2π representations.

Fig. 2.
Fig. 2.

Holograms of numerical reconstruction for targets tilted by an angle of (a) 55° and (b) 75° as acquired by the CCD and after the CPP introduction, to obtain the (c) and (d) EFI. Square insets are magnified views of circled areas for each color, respectively.

Fig. 3.
Fig. 3.

Amplitude reconstruction of “cells” holograms at a distance d=285mm without (first row) and with (second row) a numerical CPP in the reconstruction process (Media 1).

Fig. 4.
Fig. 4.

Reconstructed QPM of bovine spermatozoa at d=200mm, obtained without (first row) and with a CPP (second row). In pseudo-3D reconstructions (d), the arrow indicates a phase maximum that is visible only in reconstruction with a CPP.

Equations (3)

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b(x,y)=1jλdh(ξ,η)r(ξ,η)·ejkd[1+(xξ)2/2d2+(yη)2/2d2]dξdη,
T(x,y)=ejα(x3+y32R3),|x|R,|y|R,
βtanθd2.

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