Abstract

The axial position of a laser-trapped particle has been controlled by modification of the wave front by means of a membrane deformable mirror. The mirror gives wave-front modulation in terms of Zernike polynomials. By modulation of the Zernike defocus term we can modulate the particle position under conditions of laser trapping. A polystyrene particle of 1-µm diameter was moved along the optical axis direction for a distance of 2370 nm in minimum steps of 55.4 nm. We also demonstrated particle oscillation along the optical axis by changing the focal position in a sinusoidal manner. From the frequency dependency of the amplitude of particle oscillation we determined the spring constant as 91.7 nN/m.

© 2003 Optical Society of America

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  1. A. Ashkin, J. M. Dziedzic, J. E. Bjorkholm, and S. Chu, Opt. Lett. 11, 288 (1986).
    [CrossRef]
  2. A. Ashkin, J. M. Dziedzic, and T. Yamane, Nature 330, 769 (1987).
    [CrossRef] [PubMed]
  3. K. Svoboda, C. F. Schmidt, B. J. Schnapp, and S. M. Block, Nature 365, 721 (1993).
    [CrossRef] [PubMed]
  4. T. T. Perkins, S. R. Quake, D. E. Smith, and S. Chu, Science 264, 822 (1994).
    [CrossRef] [PubMed]
  5. K. Saito, T. Aoki, and T. Yanagida, Biophys. J. 66, 769 (1994).
    [CrossRef] [PubMed]
  6. L. P. Ghislain and W. W. Webb, Opt. Lett. 19, 1678 (1993).
    [CrossRef]
  7. T. Sugiura, T. Okada, Y. Inouye, O. Nakamura, and S. Kawata, Opt. Lett. 22, 663 (1997).
    [CrossRef]
  8. T. Sugiura, S. Kawata, and T. Okada, J. Microsc. 194, 291 (1999).
    [CrossRef]
  9. M. Gu and P. C. Ke, Opt. Lett. 24, 74 (1999).
    [CrossRef]
  10. T. Ota, T. Sugiura, and S. Kawata, Appl. Phys. Lett. 80, 3448 (2002).
    [CrossRef]
  11. J. E. Curtis, B. A. Koss, and D. G. Grier, Opt. Commun. 207, 169 (2002).
    [CrossRef]
  12. L. Zhu, P. C. Sun, D. U. Bartsch, W. R. Freeman, and Y. Fainman, Appl. Opt. 38, 6019 (1999).
    [CrossRef]
  13. M. J. Booth, M. A. A. Neil, R. Juškaitis, and T. Wilson, Proc. Natl. Acad. Sci. 99, 5788 (2002).
    [CrossRef]
  14. R. J. Noll, J. Opt. Soc. Am. 66, 207 (1976).
  15. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, Cambridge, 1999).
    [CrossRef]
  16. M. J. Booth, M. A. A. Neil, and T. Wilson, J. Microsc. 192, 90 (1998).
    [CrossRef]
  17. H. Felgner, O. Müller, and M. Schliwa, Appl. Opt. 34, 977 (1995).
    [CrossRef] [PubMed]

2002

T. Ota, T. Sugiura, and S. Kawata, Appl. Phys. Lett. 80, 3448 (2002).
[CrossRef]

J. E. Curtis, B. A. Koss, and D. G. Grier, Opt. Commun. 207, 169 (2002).
[CrossRef]

M. J. Booth, M. A. A. Neil, R. Juškaitis, and T. Wilson, Proc. Natl. Acad. Sci. 99, 5788 (2002).
[CrossRef]

1999

1998

M. J. Booth, M. A. A. Neil, and T. Wilson, J. Microsc. 192, 90 (1998).
[CrossRef]

1997

T. Sugiura, T. Okada, Y. Inouye, O. Nakamura, and S. Kawata, Opt. Lett. 22, 663 (1997).
[CrossRef]

1995

1994

T. T. Perkins, S. R. Quake, D. E. Smith, and S. Chu, Science 264, 822 (1994).
[CrossRef] [PubMed]

K. Saito, T. Aoki, and T. Yanagida, Biophys. J. 66, 769 (1994).
[CrossRef] [PubMed]

1993

K. Svoboda, C. F. Schmidt, B. J. Schnapp, and S. M. Block, Nature 365, 721 (1993).
[CrossRef] [PubMed]

L. P. Ghislain and W. W. Webb, Opt. Lett. 19, 1678 (1993).
[CrossRef]

1987

A. Ashkin, J. M. Dziedzic, and T. Yamane, Nature 330, 769 (1987).
[CrossRef] [PubMed]

1986

1976

Aoki, T.

K. Saito, T. Aoki, and T. Yanagida, Biophys. J. 66, 769 (1994).
[CrossRef] [PubMed]

Ashkin, A.

Bartsch, D. U.

Bjorkholm, J. E.

Block, S. M.

K. Svoboda, C. F. Schmidt, B. J. Schnapp, and S. M. Block, Nature 365, 721 (1993).
[CrossRef] [PubMed]

Booth, M. J.

M. J. Booth, M. A. A. Neil, R. Juškaitis, and T. Wilson, Proc. Natl. Acad. Sci. 99, 5788 (2002).
[CrossRef]

M. J. Booth, M. A. A. Neil, and T. Wilson, J. Microsc. 192, 90 (1998).
[CrossRef]

Born, M.

M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, Cambridge, 1999).
[CrossRef]

Chu, S.

T. T. Perkins, S. R. Quake, D. E. Smith, and S. Chu, Science 264, 822 (1994).
[CrossRef] [PubMed]

A. Ashkin, J. M. Dziedzic, J. E. Bjorkholm, and S. Chu, Opt. Lett. 11, 288 (1986).
[CrossRef]

Curtis, J. E.

J. E. Curtis, B. A. Koss, and D. G. Grier, Opt. Commun. 207, 169 (2002).
[CrossRef]

Dziedzic, J. M.

Fainman, Y.

Felgner, H.

Freeman, W. R.

Ghislain, L. P.

Grier, D. G.

J. E. Curtis, B. A. Koss, and D. G. Grier, Opt. Commun. 207, 169 (2002).
[CrossRef]

Gu, M.

Inouye, Y.

T. Sugiura, T. Okada, Y. Inouye, O. Nakamura, and S. Kawata, Opt. Lett. 22, 663 (1997).
[CrossRef]

Juškaitis, R.

M. J. Booth, M. A. A. Neil, R. Juškaitis, and T. Wilson, Proc. Natl. Acad. Sci. 99, 5788 (2002).
[CrossRef]

Kawata, S.

T. Ota, T. Sugiura, and S. Kawata, Appl. Phys. Lett. 80, 3448 (2002).
[CrossRef]

T. Sugiura, S. Kawata, and T. Okada, J. Microsc. 194, 291 (1999).
[CrossRef]

T. Sugiura, T. Okada, Y. Inouye, O. Nakamura, and S. Kawata, Opt. Lett. 22, 663 (1997).
[CrossRef]

Ke, P. C.

Koss, B. A.

J. E. Curtis, B. A. Koss, and D. G. Grier, Opt. Commun. 207, 169 (2002).
[CrossRef]

Müller, O.

Nakamura, O.

T. Sugiura, T. Okada, Y. Inouye, O. Nakamura, and S. Kawata, Opt. Lett. 22, 663 (1997).
[CrossRef]

Neil, M. A. A.

M. J. Booth, M. A. A. Neil, R. Juškaitis, and T. Wilson, Proc. Natl. Acad. Sci. 99, 5788 (2002).
[CrossRef]

M. J. Booth, M. A. A. Neil, and T. Wilson, J. Microsc. 192, 90 (1998).
[CrossRef]

Noll, R. J.

Okada, T.

T. Sugiura, S. Kawata, and T. Okada, J. Microsc. 194, 291 (1999).
[CrossRef]

T. Sugiura, T. Okada, Y. Inouye, O. Nakamura, and S. Kawata, Opt. Lett. 22, 663 (1997).
[CrossRef]

Ota, T.

T. Ota, T. Sugiura, and S. Kawata, Appl. Phys. Lett. 80, 3448 (2002).
[CrossRef]

Perkins, T. T.

T. T. Perkins, S. R. Quake, D. E. Smith, and S. Chu, Science 264, 822 (1994).
[CrossRef] [PubMed]

Quake, S. R.

T. T. Perkins, S. R. Quake, D. E. Smith, and S. Chu, Science 264, 822 (1994).
[CrossRef] [PubMed]

Saito, K.

K. Saito, T. Aoki, and T. Yanagida, Biophys. J. 66, 769 (1994).
[CrossRef] [PubMed]

Schliwa, M.

Schmidt, C. F.

K. Svoboda, C. F. Schmidt, B. J. Schnapp, and S. M. Block, Nature 365, 721 (1993).
[CrossRef] [PubMed]

Schnapp, B. J.

K. Svoboda, C. F. Schmidt, B. J. Schnapp, and S. M. Block, Nature 365, 721 (1993).
[CrossRef] [PubMed]

Smith, D. E.

T. T. Perkins, S. R. Quake, D. E. Smith, and S. Chu, Science 264, 822 (1994).
[CrossRef] [PubMed]

Sugiura, T.

T. Ota, T. Sugiura, and S. Kawata, Appl. Phys. Lett. 80, 3448 (2002).
[CrossRef]

T. Sugiura, S. Kawata, and T. Okada, J. Microsc. 194, 291 (1999).
[CrossRef]

T. Sugiura, T. Okada, Y. Inouye, O. Nakamura, and S. Kawata, Opt. Lett. 22, 663 (1997).
[CrossRef]

Sun, P. C.

Svoboda, K.

K. Svoboda, C. F. Schmidt, B. J. Schnapp, and S. M. Block, Nature 365, 721 (1993).
[CrossRef] [PubMed]

Webb, W. W.

Wilson, T.

M. J. Booth, M. A. A. Neil, R. Juškaitis, and T. Wilson, Proc. Natl. Acad. Sci. 99, 5788 (2002).
[CrossRef]

M. J. Booth, M. A. A. Neil, and T. Wilson, J. Microsc. 192, 90 (1998).
[CrossRef]

Wolf, E.

M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, Cambridge, 1999).
[CrossRef]

Yamane, T.

A. Ashkin, J. M. Dziedzic, and T. Yamane, Nature 330, 769 (1987).
[CrossRef] [PubMed]

Yanagida, T.

K. Saito, T. Aoki, and T. Yanagida, Biophys. J. 66, 769 (1994).
[CrossRef] [PubMed]

Zhu, L.

Appl. Opt.

Appl. Phys. Lett.

T. Ota, T. Sugiura, and S. Kawata, Appl. Phys. Lett. 80, 3448 (2002).
[CrossRef]

Biophys. J.

K. Saito, T. Aoki, and T. Yanagida, Biophys. J. 66, 769 (1994).
[CrossRef] [PubMed]

J. Microsc.

T. Sugiura, S. Kawata, and T. Okada, J. Microsc. 194, 291 (1999).
[CrossRef]

M. J. Booth, M. A. A. Neil, and T. Wilson, J. Microsc. 192, 90 (1998).
[CrossRef]

J. Opt. Soc. Am.

Nature

A. Ashkin, J. M. Dziedzic, and T. Yamane, Nature 330, 769 (1987).
[CrossRef] [PubMed]

K. Svoboda, C. F. Schmidt, B. J. Schnapp, and S. M. Block, Nature 365, 721 (1993).
[CrossRef] [PubMed]

Opt. Commun.

J. E. Curtis, B. A. Koss, and D. G. Grier, Opt. Commun. 207, 169 (2002).
[CrossRef]

Opt. Lett.

Proc. Natl. Acad. Sci.

M. J. Booth, M. A. A. Neil, R. Juškaitis, and T. Wilson, Proc. Natl. Acad. Sci. 99, 5788 (2002).
[CrossRef]

Science

T. T. Perkins, S. R. Quake, D. E. Smith, and S. Chu, Science 264, 822 (1994).
[CrossRef] [PubMed]

Other

M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, Cambridge, 1999).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Configuration of an experimental setup for control of trapping position.

Fig. 2
Fig. 2

Shift of trapping position when the wave front is modified by b4Z4. The shift was repeated 10 times, with b4 changing from -4.234×10-7 to 3.387×10-7. Dots, averge positions; error bars, variations. Solid line, a linearly fitted line.

Fig. 3
Fig. 3

Amplitude of trapped particle oscillation plotted by oscillation frequency. ×, measured results; solid curve, curve fitted from Eq. (3).

Equations (3)

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

dz=43R/a2b4,
md2zdt2+Ddzdt+kz-A sin ωt=Ft,
B=kk-mω22+D2ω21/2A.

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