Abstract

The micromanipulation of objects into 3-dimensional geometries within holographic optical tweezers is carried out using modified Gerchberg-Saxton (GS) and direct binary search (DBS) algorithms to produce the hologram designs. The algorithms calculate sequences of phase holograms, which are implemented using a spatial light modulator, to reconfigure the geometries of optical traps in many planes simultaneously. The GS algorithm is able to calculate holograms quickly from the initial, intermediate and final trap positions. In contrast, the DBS algorithm is slower and therefore used to pre-calculate the holograms, which are then displayed in sequence. Assembly of objects in a variety of 3-D configurations is semi-automated, once the traps in their initial positions are loaded.

© 2004 Optical Society of America

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References

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  1. A. Ashkin, J. M. Dziedzic, J. E. Bjorkman, and S. Chu, “Observation of a single-beam gradient force optical trap for dielectric particles” Opt. Lett. 11, 288–290, (1986).
    [CrossRef] [PubMed]
  2. J. E. Molloy and M. J. Padgett, “Lights, action: optical tweezers” Contemp. Phys. 43, 241–258 (2002).
    [CrossRef]
  3. D. G. Grier, “A revolution in optical manipulation” Nature,  424, 810–816 (2003).
    [CrossRef] [PubMed]
  4. J. E. Curtis, B. A. Koss, and D. G. Grier, “Dynamic holographic optical tweezers” Opt. Commun. 207, 169–175 (2002).
    [CrossRef]
  5. N. R. Heckenberg, R. McDuff, C. P. Smith, H. Rubinsztein-Dunlop, and M. J. Wegner, “Laser-beams with phase singularities” Opt. Quantum Electron. 24, S951–S962 (1992).
    [CrossRef]
  6. J. Glückstad, “Phase contrast image synthesis” Opt. Commun. 130, 225–230 (1996).
    [CrossRef]
  7. M. Reicherter, T. Haist, E. U. Wagemann, and H. J. Tiziani, “Optical particle trapping with computer generated holograms written on a liquid crystal display” Opt. Lett. 24, 608–610 (1999).
    [CrossRef]
  8. G. Gibson, J. Courtial, M. Vasnetsov, S. Barnett, S. Franke-Arnold, and M. Padgett, “Increasing the data density of free-space optical communications using orbital angular momentum” Proc. SPIE5550, In Press.
  9. G. Sinclair, J. Leach, P. Jordan, G. Gibson, E. Yao, Z. J. Laczik, M. J. Padgett, and J. Courtial, “Interactive application in holographic optical tweezers of a multi-plane Gerchberg-Saxton algorithm for three-dimensional light shaping” Opt. Express 12, 1665–1670 (2004). http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-8-1665
    [CrossRef] [PubMed]
  10. M. A. Seldowitz, J. P. Allebach, and D. W. Sweeney, “Synthesis of digital holograms by direct binary search” Appl. Opt. 26, 2788–2798 (1987).
    [CrossRef] [PubMed]
  11. R. A. Gabel and B. Liu, “Minimization of reconstruction errors with computer generated binary holograms” Appl. Opt. 9, 1180–1190 (1970).
    [CrossRef] [PubMed]
  12. K. Nagashima, “3D computer-generated holograms using 1D Fourier transform operations” Opt. Laser Technol. 30, 361–366 (1998).
    [CrossRef]
  13. R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of the from image and diffraction plane pictures” Optik 35, 237–246 (1972).
  14. Z. J. Laczik, “3D beam shaping using diffractive optical elements” Proc. SPIE 4770, 104–111 (2002)
    [CrossRef]
  15. J. Leach, G. Sinclair, P. Jordan, J. Courtial, M. J. Padgett, J. Copper, and Z. J. Laczik, “3D mainpulationn of particles into crystal structures using holographic optical tweezers” Opt. Express 12, 220–226 (2004). http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-1-220
    [CrossRef] [PubMed]
  16. P. Jordan, H. Clare, L. Flendrig, J. Leach, J. Cooper, and M. Padgett, “Permanent 3D structures in a polymeric host created using holographic optical tweezers” J. Mod. Opt. 51, 627–632 (2004).

2004 (3)

2003 (1)

D. G. Grier, “A revolution in optical manipulation” Nature,  424, 810–816 (2003).
[CrossRef] [PubMed]

2002 (3)

J. E. Curtis, B. A. Koss, and D. G. Grier, “Dynamic holographic optical tweezers” Opt. Commun. 207, 169–175 (2002).
[CrossRef]

J. E. Molloy and M. J. Padgett, “Lights, action: optical tweezers” Contemp. Phys. 43, 241–258 (2002).
[CrossRef]

Z. J. Laczik, “3D beam shaping using diffractive optical elements” Proc. SPIE 4770, 104–111 (2002)
[CrossRef]

1999 (1)

1998 (1)

K. Nagashima, “3D computer-generated holograms using 1D Fourier transform operations” Opt. Laser Technol. 30, 361–366 (1998).
[CrossRef]

1996 (1)

J. Glückstad, “Phase contrast image synthesis” Opt. Commun. 130, 225–230 (1996).
[CrossRef]

1992 (1)

N. R. Heckenberg, R. McDuff, C. P. Smith, H. Rubinsztein-Dunlop, and M. J. Wegner, “Laser-beams with phase singularities” Opt. Quantum Electron. 24, S951–S962 (1992).
[CrossRef]

1987 (1)

1986 (1)

1972 (1)

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of the from image and diffraction plane pictures” Optik 35, 237–246 (1972).

1970 (1)

Allebach, J. P.

Ashkin, A.

Barnett, S.

G. Gibson, J. Courtial, M. Vasnetsov, S. Barnett, S. Franke-Arnold, and M. Padgett, “Increasing the data density of free-space optical communications using orbital angular momentum” Proc. SPIE5550, In Press.

Bjorkman, J. E.

Chu, S.

Clare, H.

P. Jordan, H. Clare, L. Flendrig, J. Leach, J. Cooper, and M. Padgett, “Permanent 3D structures in a polymeric host created using holographic optical tweezers” J. Mod. Opt. 51, 627–632 (2004).

Cooper, J.

P. Jordan, H. Clare, L. Flendrig, J. Leach, J. Cooper, and M. Padgett, “Permanent 3D structures in a polymeric host created using holographic optical tweezers” J. Mod. Opt. 51, 627–632 (2004).

Copper, J.

Courtial, J.

Curtis, J. E.

J. E. Curtis, B. A. Koss, and D. G. Grier, “Dynamic holographic optical tweezers” Opt. Commun. 207, 169–175 (2002).
[CrossRef]

Dziedzic, J. M.

Flendrig, L.

P. Jordan, H. Clare, L. Flendrig, J. Leach, J. Cooper, and M. Padgett, “Permanent 3D structures in a polymeric host created using holographic optical tweezers” J. Mod. Opt. 51, 627–632 (2004).

Franke-Arnold, S.

G. Gibson, J. Courtial, M. Vasnetsov, S. Barnett, S. Franke-Arnold, and M. Padgett, “Increasing the data density of free-space optical communications using orbital angular momentum” Proc. SPIE5550, In Press.

Gabel, R. A.

Gerchberg, R. W.

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of the from image and diffraction plane pictures” Optik 35, 237–246 (1972).

Gibson, G.

Glückstad, J.

J. Glückstad, “Phase contrast image synthesis” Opt. Commun. 130, 225–230 (1996).
[CrossRef]

Grier, D. G.

D. G. Grier, “A revolution in optical manipulation” Nature,  424, 810–816 (2003).
[CrossRef] [PubMed]

J. E. Curtis, B. A. Koss, and D. G. Grier, “Dynamic holographic optical tweezers” Opt. Commun. 207, 169–175 (2002).
[CrossRef]

Haist, T.

Heckenberg, N. R.

N. R. Heckenberg, R. McDuff, C. P. Smith, H. Rubinsztein-Dunlop, and M. J. Wegner, “Laser-beams with phase singularities” Opt. Quantum Electron. 24, S951–S962 (1992).
[CrossRef]

Jordan, P.

Koss, B. A.

J. E. Curtis, B. A. Koss, and D. G. Grier, “Dynamic holographic optical tweezers” Opt. Commun. 207, 169–175 (2002).
[CrossRef]

Laczik, Z. J.

Leach, J.

Liu, B.

McDuff, R.

N. R. Heckenberg, R. McDuff, C. P. Smith, H. Rubinsztein-Dunlop, and M. J. Wegner, “Laser-beams with phase singularities” Opt. Quantum Electron. 24, S951–S962 (1992).
[CrossRef]

Molloy, J. E.

J. E. Molloy and M. J. Padgett, “Lights, action: optical tweezers” Contemp. Phys. 43, 241–258 (2002).
[CrossRef]

Nagashima, K.

K. Nagashima, “3D computer-generated holograms using 1D Fourier transform operations” Opt. Laser Technol. 30, 361–366 (1998).
[CrossRef]

Padgett, M.

P. Jordan, H. Clare, L. Flendrig, J. Leach, J. Cooper, and M. Padgett, “Permanent 3D structures in a polymeric host created using holographic optical tweezers” J. Mod. Opt. 51, 627–632 (2004).

G. Gibson, J. Courtial, M. Vasnetsov, S. Barnett, S. Franke-Arnold, and M. Padgett, “Increasing the data density of free-space optical communications using orbital angular momentum” Proc. SPIE5550, In Press.

Padgett, M. J.

Reicherter, M.

Rubinsztein-Dunlop, H.

N. R. Heckenberg, R. McDuff, C. P. Smith, H. Rubinsztein-Dunlop, and M. J. Wegner, “Laser-beams with phase singularities” Opt. Quantum Electron. 24, S951–S962 (1992).
[CrossRef]

Saxton, W. O.

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of the from image and diffraction plane pictures” Optik 35, 237–246 (1972).

Seldowitz, M. A.

Sinclair, G.

Smith, C. P.

N. R. Heckenberg, R. McDuff, C. P. Smith, H. Rubinsztein-Dunlop, and M. J. Wegner, “Laser-beams with phase singularities” Opt. Quantum Electron. 24, S951–S962 (1992).
[CrossRef]

Sweeney, D. W.

Tiziani, H. J.

Vasnetsov, M.

G. Gibson, J. Courtial, M. Vasnetsov, S. Barnett, S. Franke-Arnold, and M. Padgett, “Increasing the data density of free-space optical communications using orbital angular momentum” Proc. SPIE5550, In Press.

Wagemann, E. U.

Wegner, M. J.

N. R. Heckenberg, R. McDuff, C. P. Smith, H. Rubinsztein-Dunlop, and M. J. Wegner, “Laser-beams with phase singularities” Opt. Quantum Electron. 24, S951–S962 (1992).
[CrossRef]

Yao, E.

Appl. Opt. (2)

Contemp. Phys. (1)

J. E. Molloy and M. J. Padgett, “Lights, action: optical tweezers” Contemp. Phys. 43, 241–258 (2002).
[CrossRef]

J. Mod. Opt. (1)

P. Jordan, H. Clare, L. Flendrig, J. Leach, J. Cooper, and M. Padgett, “Permanent 3D structures in a polymeric host created using holographic optical tweezers” J. Mod. Opt. 51, 627–632 (2004).

Nature (1)

D. G. Grier, “A revolution in optical manipulation” Nature,  424, 810–816 (2003).
[CrossRef] [PubMed]

Opt. Commun. (2)

J. E. Curtis, B. A. Koss, and D. G. Grier, “Dynamic holographic optical tweezers” Opt. Commun. 207, 169–175 (2002).
[CrossRef]

J. Glückstad, “Phase contrast image synthesis” Opt. Commun. 130, 225–230 (1996).
[CrossRef]

Opt. Express (2)

Opt. Laser Technol. (1)

K. Nagashima, “3D computer-generated holograms using 1D Fourier transform operations” Opt. Laser Technol. 30, 361–366 (1998).
[CrossRef]

Opt. Lett. (2)

Opt. Quantum Electron. (1)

N. R. Heckenberg, R. McDuff, C. P. Smith, H. Rubinsztein-Dunlop, and M. J. Wegner, “Laser-beams with phase singularities” Opt. Quantum Electron. 24, S951–S962 (1992).
[CrossRef]

Optik (1)

R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of the from image and diffraction plane pictures” Optik 35, 237–246 (1972).

Proc. SPIE (1)

Z. J. Laczik, “3D beam shaping using diffractive optical elements” Proc. SPIE 4770, 104–111 (2002)
[CrossRef]

Other (1)

G. Gibson, J. Courtial, M. Vasnetsov, S. Barnett, S. Franke-Arnold, and M. Padgett, “Increasing the data density of free-space optical communications using orbital angular momentum” Proc. SPIE5550, In Press.

Supplementary Material (4)

» Media 1: MPG (2280 KB)     
» Media 2: MPG (839 KB)     
» Media 3: MPG (2259 KB)     
» Media 4: MPG (2155 KB)     

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Figures (4)

Fig. 1.
Fig. 1.

[2.3MB] Sequence of video frames showing nine 2µm silica spheres morphed to form three triangles with 5µm side lengths stacked in three planes, with 6µm between planes. The times at which each frame was taken is shown in the top corner.

Fig. 2.
Fig. 2.

[0.85MB] Sequence of video frames showing twenty-seven 1µm silica spheres initially trapped in three lines of nine spheres and morphed to form three grids of 3 by 3 in three different planes, separated by 8µm. The times at which each frame was taken is shown in the top corner.

Fig. 3.
Fig. 3.

[2.6MB] Sequence of video frames showing the morphing of 15µm diamond unit cell made from eighteen 1µm silica spheres. The whole sequence took 5 minutes to complete.

Fig. 4.
Fig. 4.

[2.2MB] Sequence of video frames showing the morphing of a 15µm zincblendee unit cell made from fourteen 1µm and four 2µm silica spheres. The whole sequence took 5 minutes to complete.

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