Abstract

We propose a new method for three-dimensional (3D) position measurement of nanoparticles using an in-line digital holographic microscope. The method improves the signal-to-noise ratio of the amplitude of the interference fringes to achieve higher accuracy in the position measurement by increasing weak scattered light from a nanoparticle relative to the reference light by using a low spatial frequency attenuation filter. We demonstrated the improvements of signal-to-noise ratio of the optical system and contrast of the interference fringes, allowing the 3D positions of nanoparticles to be determined more precisely.

© 2012 Optical Society of America

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2011 (2)

2010 (1)

2009 (1)

2007 (1)

2006 (5)

2005 (1)

2004 (1)

P. Jordan, H. Clare, L. Flendrig, J. Leach, J. Cooper, and M. Padgett, J. Mod. Opt. 51, 627 (2004).
[CrossRef]

2003 (1)

2002 (1)

G. M. Wang, E. M. Sevick, E. Mittag, D. J. Searles, and D. J. Evans, Phys. Rev. Lett. 89, 050601 (2002).
[CrossRef]

1999 (1)

1997 (1)

T. G. Mason, K. Ganesan, J. H. van Zanten, D. Wirtz, and S. C. Kuo, Phys. Rev. Lett. 79, 3282 (1997).
[CrossRef]

1995 (1)

1994 (1)

J. C. Crocker and D. G. Grier, Phys. Rev. Lett. 73, 352 (1994).
[CrossRef]

1987 (1)

L. Onural and P. D. Scott, Opt. Eng. 26, 261124 (1987).
[CrossRef]

1871 (1)

L. Rayleigh, Philos. Mag. 41, 447 (1871).

Block, S. M.

W. J. Greenleaf and S. M. Block, Science 313, 801 (2006).
[CrossRef]

Callens, N.

Cheong, F. C.

Clare, H.

P. Jordan, H. Clare, L. Flendrig, J. Leach, J. Cooper, and M. Padgett, J. Mod. Opt. 51, 627 (2004).
[CrossRef]

Cooper, J.

P. Jordan, H. Clare, L. Flendrig, J. Leach, J. Cooper, and M. Padgett, J. Mod. Opt. 51, 627 (2004).
[CrossRef]

Crocker, J. C.

J. C. Crocker and D. G. Grier, Phys. Rev. Lett. 73, 352 (1994).
[CrossRef]

Depeursinge, C.

C. Depeursinge, Digital Holography and Three-Dimensional Display, T. C. Poon, ed. (Springer, 2006), p. 104.

Dholakia, K.

Dixon, L.

Dubois, F.

Evans, D. J.

G. M. Wang, E. M. Sevick, E. Mittag, D. J. Searles, and D. J. Evans, Phys. Rev. Lett. 89, 050601 (2002).
[CrossRef]

Flendrig, L.

P. Jordan, H. Clare, L. Flendrig, J. Leach, J. Cooper, and M. Padgett, J. Mod. Opt. 51, 627 (2004).
[CrossRef]

Ganesan, K.

T. G. Mason, K. Ganesan, J. H. van Zanten, D. Wirtz, and S. C. Kuo, Phys. Rev. Lett. 79, 3282 (1997).
[CrossRef]

Garcia-Sucerquia, J.

Garcia-Sucerquia, J. G.

Greenleaf, W. J.

W. J. Greenleaf and S. M. Block, Science 313, 801 (2006).
[CrossRef]

Grier, D. G.

Hasegawa, S.

Hayasaki, Y.

Higuchi, T.

Hoyos, M.

Hussain, F.

Jericho, M. H.

Jericho, S. K.

Joannes, L.

Jordan, P.

P. Jordan, H. Clare, L. Flendrig, J. Leach, J. Cooper, and M. Padgett, J. Mod. Opt. 51, 627 (2004).
[CrossRef]

Kanka, M.

Kim, S. H.

Klages, P.

Kreuzer, H. J.

Krishnatreya, B. J.

Kuo, S. C.

T. G. Mason, K. Ganesan, J. H. van Zanten, D. Wirtz, and S. C. Kuo, Phys. Rev. Lett. 79, 3282 (1997).
[CrossRef]

Kurowski, P.

Leach, J.

P. Jordan, H. Clare, L. Flendrig, J. Leach, J. Cooper, and M. Padgett, J. Mod. Opt. 51, 627 (2004).
[CrossRef]

Lee, S. H.

Legros, J. C.

Martínez-León, L.

Mason, T. G.

T. G. Mason, K. Ganesan, J. H. van Zanten, D. Wirtz, and S. C. Kuo, Phys. Rev. Lett. 79, 3282 (1997).
[CrossRef]

Meinertzhagen, I. A.

Meng, H.

Metzger, N. K.

Mittag, E.

G. M. Wang, E. M. Sevick, E. Mittag, D. J. Searles, and D. J. Evans, Phys. Rev. Lett. 89, 050601 (2002).
[CrossRef]

Monnom, O.

Onural, L.

L. Onural and P. D. Scott, Opt. Eng. 26, 261124 (1987).
[CrossRef]

Osten, W.

Padgett, M.

P. Jordan, H. Clare, L. Flendrig, J. Leach, J. Cooper, and M. Padgett, J. Mod. Opt. 51, 627 (2004).
[CrossRef]

Pedrini, G.

Pham, Q. D.

Rayleigh, L.

L. Rayleigh, Philos. Mag. 41, 447 (1871).

Riesenberg, R.

Roichman, Y.

Scott, P. D.

L. Onural and P. D. Scott, Opt. Eng. 26, 261124 (1987).
[CrossRef]

Searles, D. J.

G. M. Wang, E. M. Sevick, E. Mittag, D. J. Searles, and D. J. Evans, Phys. Rev. Lett. 89, 050601 (2002).
[CrossRef]

Sevick, E. M.

G. M. Wang, E. M. Sevick, E. Mittag, D. J. Searles, and D. J. Evans, Phys. Rev. Lett. 89, 050601 (2002).
[CrossRef]

Sibbett, W.

van Blaaderen, A.

van Oostrum, P.

van Zanten, J. H.

T. G. Mason, K. Ganesan, J. H. van Zanten, D. Wirtz, and S. C. Kuo, Phys. Rev. Lett. 79, 3282 (1997).
[CrossRef]

Wang, G. M.

G. M. Wang, E. M. Sevick, E. Mittag, D. J. Searles, and D. J. Evans, Phys. Rev. Lett. 89, 050601 (2002).
[CrossRef]

Wirtz, D.

T. G. Mason, K. Ganesan, J. H. van Zanten, D. Wirtz, and S. C. Kuo, Phys. Rev. Lett. 79, 3282 (1997).
[CrossRef]

Wright, E. M.

Xu, W.

Yang, S. M.

Yi, G. R.

Yourassowsky, C.

Appl. Opt. (6)

J. Mod. Opt. (1)

P. Jordan, H. Clare, L. Flendrig, J. Leach, J. Cooper, and M. Padgett, J. Mod. Opt. 51, 627 (2004).
[CrossRef]

Opt. Eng. (1)

L. Onural and P. D. Scott, Opt. Eng. 26, 261124 (1987).
[CrossRef]

Opt. Express (4)

Opt. Lett. (3)

Philos. Mag. (1)

L. Rayleigh, Philos. Mag. 41, 447 (1871).

Phys. Rev. Lett. (3)

G. M. Wang, E. M. Sevick, E. Mittag, D. J. Searles, and D. J. Evans, Phys. Rev. Lett. 89, 050601 (2002).
[CrossRef]

J. C. Crocker and D. G. Grier, Phys. Rev. Lett. 73, 352 (1994).
[CrossRef]

T. G. Mason, K. Ganesan, J. H. van Zanten, D. Wirtz, and S. C. Kuo, Phys. Rev. Lett. 79, 3282 (1997).
[CrossRef]

Science (1)

W. J. Greenleaf and S. M. Block, Science 313, 801 (2006).
[CrossRef]

Other (1)

C. Depeursinge, Digital Holography and Three-Dimensional Display, T. C. Poon, ed. (Springer, 2006), p. 104.

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Figures (4)

Fig. 1.
Fig. 1.

Experimental setup.

Fig. 2.
Fig. 2.

Holographic images of nanoparticle captured (a) without the LFAF (TR=1.0) and (b) with the LFAF (TR=0.1).

Fig. 3.
Fig. 3.

(a) SNR and (b) V as a function of TR1/2 under constant reference light intensity. The filled and open circles indicate the results when the nanoparticle positions were z=1.5μm and 3.0 μm from the focal plane, respectively.

Fig. 4.
Fig. 4.

Standard deviations along (a) y and (b) z directions as a function of TR1/2. The filled and open circles indicate the results when the nanoparticle positions were z=1.5μm and 3.0 μm from the focal plane, respectively.

Equations (4)

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

Isca(θ,d)=k4r6d2(m21m2+1)(1+cos2θ2)Iinc=α(θ,d)Iinc,
SNR=2IrefIscaN2IincαN2IrefαN.
SNR2Iincα/TRN.
V2Iincα/TRIinc(1+α/TR)+N.

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