Abstract

We describe a method for projecting single-beam optical traps whose potential energy wells are extended along one-dimensional curves. This technique exploits shape-phase holography in which computer-generated phase-only diffractive optical elements are used to implement complex and amplitude-only holograms. The resulting optical traps can have specified intensity and phase profiles along their lengths and can extend along curves in three dimensions. We demonstrate the extended traps’ operation and characterize their potential energy profiles through digital video microscopy of trapped colloidal spheres.

© 2006 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. T. Yu, F.-C. Cheong, and C.-H. Sow, Nanotechnology 15, 1732 (2004).
    [CrossRef]
  2. R. Agarwal, K. Ladavac, Y. Roichman, G. Yu, C. M. Lieber, and D. G. Grier, Opt. Express 13, 8906 (2005).
    [CrossRef] [PubMed]
  3. J. C. Crocker and D. G. Grier, Phys. Rev. Lett. 73, 352 (1994).
    [CrossRef] [PubMed]
  4. R. Verma, J. C. Crocker, T. C. Lubensky, and A. G. Yodh, Phys. Rev. Lett. 81, 4004 (1998).
    [CrossRef]
  5. J. C. Crocker, J. A. Matteo, A. D. Dinsmore, and A. G. Yodh, Phys. Rev. Lett. 82, 4352 (1999).
    [CrossRef]
  6. K. Ladavac, K. Kasza, and D. G. Grier, Phys. Rev. E 70, 010901(R) (2004).
    [CrossRef]
  7. M. Pelton, K. Ladavac, and D. G. Grier, Phys. Rev. E 70, 031108 (2004).
    [CrossRef]
  8. K. Sasaki, M. Koshio, H. Misawa, N. Kitamura, and H. Masuhara, Opt. Lett. 16, 1463 (1991).
    [CrossRef] [PubMed]
  9. L. P. Faucheux, L. S. Bourdieu, P. D. Kaplan, and A. J. Libchaber, Phys. Rev. Lett. 74, 1504 (1995).
    [CrossRef] [PubMed]
  10. L. P. Faucheux, G. Stolovitzky, and A. Libchaber, Phys. Rev. E 51, 5239 (1995).
    [CrossRef]
  11. A. E. Chiou, W. Wang, G. J. Sonek, J. Hong, and M. W. Berns, Opt. Commun. 133, 7 (1997).
    [CrossRef]
  12. E. Schonbrun, R. Piestun, P. Jordan, J. Cooper, K. D. Wulff, J. Courtial, and M. Padgett, Opt. Express 13, 3777 (2005).
    [CrossRef] [PubMed]
  13. A. T. O'Neil, I. MacVicar, L. Allen, and M. J. Padgett, Phys. Rev. Lett. 88, 053601 (2002).
    [CrossRef] [PubMed]
  14. P. L. Biancaniello, A. J. Kim, and J. C. Crocker, Phys. Rev. Lett. 94, 058302 (2005).
    [CrossRef] [PubMed]
  15. K. J. Moh, W. M. Lee, W. C. Cheong, and X.-C. Yuan, Appl. Phys. B 80, 973 (2005).
    [CrossRef]
  16. R. L. Eriksen, V. R. Daria, and J. Glückstad, Opt. Express 10, 597 (2002).
    [PubMed]
  17. P. J. Rodrigo, V. R. Daria, and J. Glückstad, Appl. Phys. Lett. 86, 074103 (2005).
    [CrossRef]
  18. E. R. Dufresne and D. G. Grier, Rev. Sci. Instrum. 69, 1974 (1998).
    [CrossRef]
  19. D. G. Grier, Nature 424, 810 (2003).
    [CrossRef] [PubMed]
  20. Y. Roichman, A. S. Waldron, E. Gardel, and D. G. Grier, Appl. Opt. 45, 6425 (2006).
    [CrossRef]
  21. J. Liesener, M. Reicherter, T. Haist, and H. J. Tiziani, Opt. Commun. 185, 77 (2000).
    [CrossRef]
  22. J. E. Curtis, B. A. Koss, and D. G. Grier, Opt. Commun. 207, 169 (2002).
    [CrossRef]
  23. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, l996).
  24. A. J. Jerri, The Gibbs Phenomenon in Fourier Analysis, Splines and Wavelet (Springer, 1998).
  25. J. C. Crocker and D. G. Grier, J. Colloid Interface Sci. 179, 298 (1996).
    [CrossRef]
  26. M. Polin, K. Ladavac, S.-H. Lee. Y. Roichman, and D. G. Grier, Opt. Express 13, 5831 (2005).
    [CrossRef] [PubMed]
  27. J. E. Curtis and D. G. Grier, Opt. Lett. 28, 872 (2003).
    [CrossRef] [PubMed]
  28. S.-H. Lee and D. G. Grier, Opt. Express 13, 7458 (2005).
    [CrossRef] [PubMed]

2006 (1)

Y. Roichman, A. S. Waldron, E. Gardel, and D. G. Grier, Appl. Opt. 45, 6425 (2006).
[CrossRef]

2005 (7)

2004 (3)

T. Yu, F.-C. Cheong, and C.-H. Sow, Nanotechnology 15, 1732 (2004).
[CrossRef]

K. Ladavac, K. Kasza, and D. G. Grier, Phys. Rev. E 70, 010901(R) (2004).
[CrossRef]

M. Pelton, K. Ladavac, and D. G. Grier, Phys. Rev. E 70, 031108 (2004).
[CrossRef]

2003 (2)

2002 (3)

R. L. Eriksen, V. R. Daria, and J. Glückstad, Opt. Express 10, 597 (2002).
[PubMed]

A. T. O'Neil, I. MacVicar, L. Allen, and M. J. Padgett, Phys. Rev. Lett. 88, 053601 (2002).
[CrossRef] [PubMed]

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

2000 (1)

J. Liesener, M. Reicherter, T. Haist, and H. J. Tiziani, Opt. Commun. 185, 77 (2000).
[CrossRef]

1999 (1)

J. C. Crocker, J. A. Matteo, A. D. Dinsmore, and A. G. Yodh, Phys. Rev. Lett. 82, 4352 (1999).
[CrossRef]

1998 (2)

R. Verma, J. C. Crocker, T. C. Lubensky, and A. G. Yodh, Phys. Rev. Lett. 81, 4004 (1998).
[CrossRef]

E. R. Dufresne and D. G. Grier, Rev. Sci. Instrum. 69, 1974 (1998).
[CrossRef]

1997 (1)

A. E. Chiou, W. Wang, G. J. Sonek, J. Hong, and M. W. Berns, Opt. Commun. 133, 7 (1997).
[CrossRef]

1996 (1)

J. C. Crocker and D. G. Grier, J. Colloid Interface Sci. 179, 298 (1996).
[CrossRef]

1995 (2)

L. P. Faucheux, L. S. Bourdieu, P. D. Kaplan, and A. J. Libchaber, Phys. Rev. Lett. 74, 1504 (1995).
[CrossRef] [PubMed]

L. P. Faucheux, G. Stolovitzky, and A. Libchaber, Phys. Rev. E 51, 5239 (1995).
[CrossRef]

1994 (1)

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

1991 (1)

Agarwal, R.

Allen, L.

A. T. O'Neil, I. MacVicar, L. Allen, and M. J. Padgett, Phys. Rev. Lett. 88, 053601 (2002).
[CrossRef] [PubMed]

Berns, M. W.

A. E. Chiou, W. Wang, G. J. Sonek, J. Hong, and M. W. Berns, Opt. Commun. 133, 7 (1997).
[CrossRef]

Biancaniello, P. L.

P. L. Biancaniello, A. J. Kim, and J. C. Crocker, Phys. Rev. Lett. 94, 058302 (2005).
[CrossRef] [PubMed]

Bourdieu, L. S.

L. P. Faucheux, L. S. Bourdieu, P. D. Kaplan, and A. J. Libchaber, Phys. Rev. Lett. 74, 1504 (1995).
[CrossRef] [PubMed]

Cheong, F.-C.

T. Yu, F.-C. Cheong, and C.-H. Sow, Nanotechnology 15, 1732 (2004).
[CrossRef]

Cheong, W. C.

K. J. Moh, W. M. Lee, W. C. Cheong, and X.-C. Yuan, Appl. Phys. B 80, 973 (2005).
[CrossRef]

Chiou, A. E.

A. E. Chiou, W. Wang, G. J. Sonek, J. Hong, and M. W. Berns, Opt. Commun. 133, 7 (1997).
[CrossRef]

Cooper, J.

Courtial, J.

Crocker, J. C.

P. L. Biancaniello, A. J. Kim, and J. C. Crocker, Phys. Rev. Lett. 94, 058302 (2005).
[CrossRef] [PubMed]

J. C. Crocker, J. A. Matteo, A. D. Dinsmore, and A. G. Yodh, Phys. Rev. Lett. 82, 4352 (1999).
[CrossRef]

R. Verma, J. C. Crocker, T. C. Lubensky, and A. G. Yodh, Phys. Rev. Lett. 81, 4004 (1998).
[CrossRef]

J. C. Crocker and D. G. Grier, J. Colloid Interface Sci. 179, 298 (1996).
[CrossRef]

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

Curtis, J. E.

J. E. Curtis and D. G. Grier, Opt. Lett. 28, 872 (2003).
[CrossRef] [PubMed]

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

Daria, V. R.

P. J. Rodrigo, V. R. Daria, and J. Glückstad, Appl. Phys. Lett. 86, 074103 (2005).
[CrossRef]

R. L. Eriksen, V. R. Daria, and J. Glückstad, Opt. Express 10, 597 (2002).
[PubMed]

Dinsmore, A. D.

J. C. Crocker, J. A. Matteo, A. D. Dinsmore, and A. G. Yodh, Phys. Rev. Lett. 82, 4352 (1999).
[CrossRef]

Dufresne, E. R.

E. R. Dufresne and D. G. Grier, Rev. Sci. Instrum. 69, 1974 (1998).
[CrossRef]

Eriksen, R. L.

Faucheux, L. P.

L. P. Faucheux, L. S. Bourdieu, P. D. Kaplan, and A. J. Libchaber, Phys. Rev. Lett. 74, 1504 (1995).
[CrossRef] [PubMed]

L. P. Faucheux, G. Stolovitzky, and A. Libchaber, Phys. Rev. E 51, 5239 (1995).
[CrossRef]

Gardel, E.

Y. Roichman, A. S. Waldron, E. Gardel, and D. G. Grier, Appl. Opt. 45, 6425 (2006).
[CrossRef]

Glückstad, J.

P. J. Rodrigo, V. R. Daria, and J. Glückstad, Appl. Phys. Lett. 86, 074103 (2005).
[CrossRef]

R. L. Eriksen, V. R. Daria, and J. Glückstad, Opt. Express 10, 597 (2002).
[PubMed]

Goodman, J. W.

J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, l996).

Grier, D. G.

Y. Roichman, A. S. Waldron, E. Gardel, and D. G. Grier, Appl. Opt. 45, 6425 (2006).
[CrossRef]

R. Agarwal, K. Ladavac, Y. Roichman, G. Yu, C. M. Lieber, and D. G. Grier, Opt. Express 13, 8906 (2005).
[CrossRef] [PubMed]

M. Polin, K. Ladavac, S.-H. Lee. Y. Roichman, and D. G. Grier, Opt. Express 13, 5831 (2005).
[CrossRef] [PubMed]

S.-H. Lee and D. G. Grier, Opt. Express 13, 7458 (2005).
[CrossRef] [PubMed]

M. Pelton, K. Ladavac, and D. G. Grier, Phys. Rev. E 70, 031108 (2004).
[CrossRef]

K. Ladavac, K. Kasza, and D. G. Grier, Phys. Rev. E 70, 010901(R) (2004).
[CrossRef]

J. E. Curtis and D. G. Grier, Opt. Lett. 28, 872 (2003).
[CrossRef] [PubMed]

D. G. Grier, Nature 424, 810 (2003).
[CrossRef] [PubMed]

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

E. R. Dufresne and D. G. Grier, Rev. Sci. Instrum. 69, 1974 (1998).
[CrossRef]

J. C. Crocker and D. G. Grier, J. Colloid Interface Sci. 179, 298 (1996).
[CrossRef]

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

Haist, T.

J. Liesener, M. Reicherter, T. Haist, and H. J. Tiziani, Opt. Commun. 185, 77 (2000).
[CrossRef]

Hong, J.

A. E. Chiou, W. Wang, G. J. Sonek, J. Hong, and M. W. Berns, Opt. Commun. 133, 7 (1997).
[CrossRef]

Jerri, A. J.

A. J. Jerri, The Gibbs Phenomenon in Fourier Analysis, Splines and Wavelet (Springer, 1998).

Jordan, P.

Kaplan, P. D.

L. P. Faucheux, L. S. Bourdieu, P. D. Kaplan, and A. J. Libchaber, Phys. Rev. Lett. 74, 1504 (1995).
[CrossRef] [PubMed]

Kasza, K.

K. Ladavac, K. Kasza, and D. G. Grier, Phys. Rev. E 70, 010901(R) (2004).
[CrossRef]

Kim, A. J.

P. L. Biancaniello, A. J. Kim, and J. C. Crocker, Phys. Rev. Lett. 94, 058302 (2005).
[CrossRef] [PubMed]

Kitamura, N.

Koshio, M.

Koss, B. A.

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

Ladavac, K.

Lee, S.-H.

Lee, W. M.

K. J. Moh, W. M. Lee, W. C. Cheong, and X.-C. Yuan, Appl. Phys. B 80, 973 (2005).
[CrossRef]

Libchaber, A.

L. P. Faucheux, G. Stolovitzky, and A. Libchaber, Phys. Rev. E 51, 5239 (1995).
[CrossRef]

Libchaber, A. J.

L. P. Faucheux, L. S. Bourdieu, P. D. Kaplan, and A. J. Libchaber, Phys. Rev. Lett. 74, 1504 (1995).
[CrossRef] [PubMed]

Lieber, C. M.

Liesener, J.

J. Liesener, M. Reicherter, T. Haist, and H. J. Tiziani, Opt. Commun. 185, 77 (2000).
[CrossRef]

Lubensky, T. C.

R. Verma, J. C. Crocker, T. C. Lubensky, and A. G. Yodh, Phys. Rev. Lett. 81, 4004 (1998).
[CrossRef]

MacVicar, I.

A. T. O'Neil, I. MacVicar, L. Allen, and M. J. Padgett, Phys. Rev. Lett. 88, 053601 (2002).
[CrossRef] [PubMed]

Masuhara, H.

Matteo, J. A.

J. C. Crocker, J. A. Matteo, A. D. Dinsmore, and A. G. Yodh, Phys. Rev. Lett. 82, 4352 (1999).
[CrossRef]

Misawa, H.

Moh, K. J.

K. J. Moh, W. M. Lee, W. C. Cheong, and X.-C. Yuan, Appl. Phys. B 80, 973 (2005).
[CrossRef]

O'Neil, A. T.

A. T. O'Neil, I. MacVicar, L. Allen, and M. J. Padgett, Phys. Rev. Lett. 88, 053601 (2002).
[CrossRef] [PubMed]

Padgett, M.

Padgett, M. J.

A. T. O'Neil, I. MacVicar, L. Allen, and M. J. Padgett, Phys. Rev. Lett. 88, 053601 (2002).
[CrossRef] [PubMed]

Pelton, M.

M. Pelton, K. Ladavac, and D. G. Grier, Phys. Rev. E 70, 031108 (2004).
[CrossRef]

Piestun, R.

Polin, M.

Reicherter, M.

J. Liesener, M. Reicherter, T. Haist, and H. J. Tiziani, Opt. Commun. 185, 77 (2000).
[CrossRef]

Rodrigo, P. J.

P. J. Rodrigo, V. R. Daria, and J. Glückstad, Appl. Phys. Lett. 86, 074103 (2005).
[CrossRef]

Roichman, S.-H. Lee. Y.

Roichman, Y.

Sasaki, K.

Schonbrun, E.

Sonek, G. J.

A. E. Chiou, W. Wang, G. J. Sonek, J. Hong, and M. W. Berns, Opt. Commun. 133, 7 (1997).
[CrossRef]

Sow, C.-H.

T. Yu, F.-C. Cheong, and C.-H. Sow, Nanotechnology 15, 1732 (2004).
[CrossRef]

Stolovitzky, G.

L. P. Faucheux, G. Stolovitzky, and A. Libchaber, Phys. Rev. E 51, 5239 (1995).
[CrossRef]

Tiziani, H. J.

J. Liesener, M. Reicherter, T. Haist, and H. J. Tiziani, Opt. Commun. 185, 77 (2000).
[CrossRef]

Verma, R.

R. Verma, J. C. Crocker, T. C. Lubensky, and A. G. Yodh, Phys. Rev. Lett. 81, 4004 (1998).
[CrossRef]

Waldron, A. S.

Y. Roichman, A. S. Waldron, E. Gardel, and D. G. Grier, Appl. Opt. 45, 6425 (2006).
[CrossRef]

Wang, W.

A. E. Chiou, W. Wang, G. J. Sonek, J. Hong, and M. W. Berns, Opt. Commun. 133, 7 (1997).
[CrossRef]

Wulff, K. D.

Yodh, A. G.

J. C. Crocker, J. A. Matteo, A. D. Dinsmore, and A. G. Yodh, Phys. Rev. Lett. 82, 4352 (1999).
[CrossRef]

R. Verma, J. C. Crocker, T. C. Lubensky, and A. G. Yodh, Phys. Rev. Lett. 81, 4004 (1998).
[CrossRef]

Yu, G.

Yu, T.

T. Yu, F.-C. Cheong, and C.-H. Sow, Nanotechnology 15, 1732 (2004).
[CrossRef]

Yuan, X.-C.

K. J. Moh, W. M. Lee, W. C. Cheong, and X.-C. Yuan, Appl. Phys. B 80, 973 (2005).
[CrossRef]

Appl. Opt. (1)

Y. Roichman, A. S. Waldron, E. Gardel, and D. G. Grier, Appl. Opt. 45, 6425 (2006).
[CrossRef]

Appl. Phys. B (1)

K. J. Moh, W. M. Lee, W. C. Cheong, and X.-C. Yuan, Appl. Phys. B 80, 973 (2005).
[CrossRef]

Appl. Phys. Lett. (1)

P. J. Rodrigo, V. R. Daria, and J. Glückstad, Appl. Phys. Lett. 86, 074103 (2005).
[CrossRef]

J. Colloid Interface Sci. (1)

J. C. Crocker and D. G. Grier, J. Colloid Interface Sci. 179, 298 (1996).
[CrossRef]

Nanotechnology (1)

T. Yu, F.-C. Cheong, and C.-H. Sow, Nanotechnology 15, 1732 (2004).
[CrossRef]

Nature (1)

D. G. Grier, Nature 424, 810 (2003).
[CrossRef] [PubMed]

Opt. Commun. (3)

J. Liesener, M. Reicherter, T. Haist, and H. J. Tiziani, Opt. Commun. 185, 77 (2000).
[CrossRef]

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

A. E. Chiou, W. Wang, G. J. Sonek, J. Hong, and M. W. Berns, Opt. Commun. 133, 7 (1997).
[CrossRef]

Opt. Express (5)

Opt. Lett. (2)

Phys. Rev. E (3)

L. P. Faucheux, G. Stolovitzky, and A. Libchaber, Phys. Rev. E 51, 5239 (1995).
[CrossRef]

K. Ladavac, K. Kasza, and D. G. Grier, Phys. Rev. E 70, 010901(R) (2004).
[CrossRef]

M. Pelton, K. Ladavac, and D. G. Grier, Phys. Rev. E 70, 031108 (2004).
[CrossRef]

Phys. Rev. Lett. (6)

L. P. Faucheux, L. S. Bourdieu, P. D. Kaplan, and A. J. Libchaber, Phys. Rev. Lett. 74, 1504 (1995).
[CrossRef] [PubMed]

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

R. Verma, J. C. Crocker, T. C. Lubensky, and A. G. Yodh, Phys. Rev. Lett. 81, 4004 (1998).
[CrossRef]

J. C. Crocker, J. A. Matteo, A. D. Dinsmore, and A. G. Yodh, Phys. Rev. Lett. 82, 4352 (1999).
[CrossRef]

A. T. O'Neil, I. MacVicar, L. Allen, and M. J. Padgett, Phys. Rev. Lett. 88, 053601 (2002).
[CrossRef] [PubMed]

P. L. Biancaniello, A. J. Kim, and J. C. Crocker, Phys. Rev. Lett. 94, 058302 (2005).
[CrossRef] [PubMed]

Rev. Sci. Instrum. (1)

E. R. Dufresne and D. G. Grier, Rev. Sci. Instrum. 69, 1974 (1998).
[CrossRef]

Other (2)

J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, l996).

A. J. Jerri, The Gibbs Phenomenon in Fourier Analysis, Splines and Wavelet (Springer, 1998).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (2)

Fig. 1
Fig. 1

(a) Schematic of the optical train used to project extended optical traps. (b) Phase mask encoding a uniformly bright line tweezer. (c) Calculated and (d) experimental intensity patterns.

Fig. 2
Fig. 2

Imaging photometry of holographic line tweezers’ longitudinal and transverse intensity profiles (circles) with specified intensity profiles (solid curve) and profiles calculated for each specific hologram (dashed curve). (a) Gaussian. Insets: Image of projected light and (right) measured potential energy well for a 1.5 μ m diameter polystyrene sphere in water at 15 mW . Dashed curves are fits to parabolic wells. (b) Uniform line. Insets: Projected light and (right) bright-field image of seven spheres trapped on the line. (c) Double-well flat-top profile with projected light.

Equations (10)

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

ψ ( ρ ) = u ( ρ ) exp [ i φ ( ρ ) ] ,
ψ ( ρ ) = 1 f λ Ω Ψ ( r ) exp ( i 2 π f λ r ρ ) d 2 ρ .
Ψ ( r ) = { δ ( x ) y < L 2 0 otherwise } ,
ψ ( ρ ) = sinc ( k ρ y ) = sin ( k ρ y ) k ρ y , where k = π L .
ψ ( ρ ) = A ( ρ ) exp [ i φ ( ρ ) ] ,
A ( ρ ) = A 0 sinc ( k ρ y ) ,
φ ( ρ ) = { π sinc ( k ρ y ) 0 0 sinc ( k ρ y ) < 0 } ,
φ S ( ρ ) = φ ( ρ y ) S ( ρ ) ,
S ( ρ ) = { 1 ρ x < A ( ρ y ) 0 otherwise } .
V ( r ) V 0 = k B T ln P ( r ) ,

Metrics