Abstract

We report a comprehensive process for designing and prototyping new and optimized optical trapping systems. A combination of traditional lens design strategies, simulation of optical forces, and high-end ultraprecision machining of optical free-form surfaces is applied to the realization of a highly specialized optical trapping system. The resulting compact and lightweight optical modules potentially open new classes of applications for optical manipulation. As an example we present a customized 3D trapping module made of a single piece of polymethylmethacrylate, with a large working distance of 650μm.

© 2012 Optical Society of America

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2011 (2)

2010 (3)

S. Zwick, C. Schaub, T. Haist, and W. Osten, Opt. Express 18, 19941 (2010).
[CrossRef]

C. López-Mariscal and J. Gutiérrez-Vega, J. Opt. 12, 075702 (2010).
[CrossRef]

G. Jäger, T. Hausotte, E. Manske, H.-J. Büchner, R. Mastylo, N. Dorozhovets, and N. Hofmann, Measurement 43, 1099 (2010).
[CrossRef]

2009 (1)

S. Zwick, T. Haist, Y. Miyamoto, L. He, M. Warber, A. Hermerschmidt, and W. Osten, J. Opt. A 11, 034011 (2009).
[CrossRef]

2008 (1)

2007 (1)

N. B. Viana, M. S. Rocha, O. N. Mesquita, A. Mazolli, P. A. M. Neto, and H. M. Nussenzveig, Phys. Rev. E 75, 021914 (2007).
[CrossRef]

2004 (1)

2003 (1)

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

2001 (2)

J. Guck, R. Ananthakrishnan, H. Mahmood, T. J. Moon, C. C. Cunningham, and J. Käs, Biophys. J. 81, 767 (2001).
[CrossRef]

A. Rohrbach and E. Stelzer, J. Opt. Soc. Am. A. 18, 839 (2001).
[CrossRef]

1995 (1)

1986 (1)

Amberg, M.

S. Stoebenau, M. Amberg, and S. Sinzinger, in Proceedings of the 10th International Conference of the European Society for Precision Engineering and Nanotechnology (Euspen, 2010), pp. 412–415.

Ananthakrishnan, R.

J. Guck, R. Ananthakrishnan, H. Mahmood, T. J. Moon, C. C. Cunningham, and J. Käs, Biophys. J. 81, 767 (2001).
[CrossRef]

Ashkin, A.

Bjorkholm, J. E.

Bowman, R.

Bragheri, F.

Büchner, H.-J.

G. Jäger, T. Hausotte, E. Manske, H.-J. Büchner, R. Mastylo, N. Dorozhovets, and N. Hofmann, Measurement 43, 1099 (2010).
[CrossRef]

Christiani, I.

Chu, S.

Cunningham, C. C.

J. Guck, R. Ananthakrishnan, H. Mahmood, T. J. Moon, C. C. Cunningham, and J. Käs, Biophys. J. 81, 767 (2001).
[CrossRef]

Di Fabrizio, E.

Dorozhovets, N.

G. Jäger, T. Hausotte, E. Manske, H.-J. Büchner, R. Mastylo, N. Dorozhovets, and N. Hofmann, Measurement 43, 1099 (2010).
[CrossRef]

Dziedzic, J. M.

Gan, X.

Ganic, D.

Gauthier, R. C.

Gibson, G.

Glückstad, J.

J. Glückstad, Nat. Photon. 5, 7 (2011).
[CrossRef]

Grier, D. G.

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

Gu, M.

Guck, J.

J. Guck, R. Ananthakrishnan, H. Mahmood, T. J. Moon, C. C. Cunningham, and J. Käs, Biophys. J. 81, 767 (2001).
[CrossRef]

Gutiérrez-Vega, J.

C. López-Mariscal and J. Gutiérrez-Vega, J. Opt. 12, 075702 (2010).
[CrossRef]

Haist, T.

S. Zwick, C. Schaub, T. Haist, and W. Osten, Opt. Express 18, 19941 (2010).
[CrossRef]

S. Zwick, T. Haist, Y. Miyamoto, L. He, M. Warber, A. Hermerschmidt, and W. Osten, J. Opt. A 11, 034011 (2009).
[CrossRef]

Hausotte, T.

G. Jäger, T. Hausotte, E. Manske, H.-J. Büchner, R. Mastylo, N. Dorozhovets, and N. Hofmann, Measurement 43, 1099 (2010).
[CrossRef]

He, L.

S. Zwick, T. Haist, Y. Miyamoto, L. He, M. Warber, A. Hermerschmidt, and W. Osten, J. Opt. A 11, 034011 (2009).
[CrossRef]

Hermerschmidt, A.

S. Zwick, T. Haist, Y. Miyamoto, L. He, M. Warber, A. Hermerschmidt, and W. Osten, J. Opt. A 11, 034011 (2009).
[CrossRef]

Hofmann, N.

G. Jäger, T. Hausotte, E. Manske, H.-J. Büchner, R. Mastylo, N. Dorozhovets, and N. Hofmann, Measurement 43, 1099 (2010).
[CrossRef]

Jäger, G.

G. Jäger, T. Hausotte, E. Manske, H.-J. Büchner, R. Mastylo, N. Dorozhovets, and N. Hofmann, Measurement 43, 1099 (2010).
[CrossRef]

Jesacher, A.

Käs, J.

J. Guck, R. Ananthakrishnan, H. Mahmood, T. J. Moon, C. C. Cunningham, and J. Käs, Biophys. J. 81, 767 (2001).
[CrossRef]

Liberale, C.

López-Mariscal, C.

C. López-Mariscal and J. Gutiérrez-Vega, J. Opt. 12, 075702 (2010).
[CrossRef]

Mahmood, H.

J. Guck, R. Ananthakrishnan, H. Mahmood, T. J. Moon, C. C. Cunningham, and J. Käs, Biophys. J. 81, 767 (2001).
[CrossRef]

Manske, E.

G. Jäger, T. Hausotte, E. Manske, H.-J. Büchner, R. Mastylo, N. Dorozhovets, and N. Hofmann, Measurement 43, 1099 (2010).
[CrossRef]

Mastylo, R.

G. Jäger, T. Hausotte, E. Manske, H.-J. Büchner, R. Mastylo, N. Dorozhovets, and N. Hofmann, Measurement 43, 1099 (2010).
[CrossRef]

Mazolli, A.

N. B. Viana, M. S. Rocha, O. N. Mesquita, A. Mazolli, P. A. M. Neto, and H. M. Nussenzveig, Phys. Rev. E 75, 021914 (2007).
[CrossRef]

Mesquita, O. N.

N. B. Viana, M. S. Rocha, O. N. Mesquita, A. Mazolli, P. A. M. Neto, and H. M. Nussenzveig, Phys. Rev. E 75, 021914 (2007).
[CrossRef]

Minzioni, P.

Miyamoto, Y.

S. Zwick, T. Haist, Y. Miyamoto, L. He, M. Warber, A. Hermerschmidt, and W. Osten, J. Opt. A 11, 034011 (2009).
[CrossRef]

Moon, T. J.

J. Guck, R. Ananthakrishnan, H. Mahmood, T. J. Moon, C. C. Cunningham, and J. Käs, Biophys. J. 81, 767 (2001).
[CrossRef]

Neto, P. A. M.

N. B. Viana, M. S. Rocha, O. N. Mesquita, A. Mazolli, P. A. M. Neto, and H. M. Nussenzveig, Phys. Rev. E 75, 021914 (2007).
[CrossRef]

Nussenzveig, H. M.

N. B. Viana, M. S. Rocha, O. N. Mesquita, A. Mazolli, P. A. M. Neto, and H. M. Nussenzveig, Phys. Rev. E 75, 021914 (2007).
[CrossRef]

Osten, W.

S. Zwick, C. Schaub, T. Haist, and W. Osten, Opt. Express 18, 19941 (2010).
[CrossRef]

S. Zwick, T. Haist, Y. Miyamoto, L. He, M. Warber, A. Hermerschmidt, and W. Osten, J. Opt. A 11, 034011 (2009).
[CrossRef]

Padgett, M.

Ritsch-Marte, M.

Rocha, M. S.

N. B. Viana, M. S. Rocha, O. N. Mesquita, A. Mazolli, P. A. M. Neto, and H. M. Nussenzveig, Phys. Rev. E 75, 021914 (2007).
[CrossRef]

Rohrbach, A.

Schaub, C.

Sinzinger, S.

S. Stoebenau, M. Amberg, and S. Sinzinger, in Proceedings of the 10th International Conference of the European Society for Precision Engineering and Nanotechnology (Euspen, 2010), pp. 412–415.

Stelzer, E.

Stoebenau, S.

S. Stoebenau, M. Amberg, and S. Sinzinger, in Proceedings of the 10th International Conference of the European Society for Precision Engineering and Nanotechnology (Euspen, 2010), pp. 412–415.

Thalhammer, G.

Viana, N. B.

N. B. Viana, M. S. Rocha, O. N. Mesquita, A. Mazolli, P. A. M. Neto, and H. M. Nussenzveig, Phys. Rev. E 75, 021914 (2007).
[CrossRef]

Wallace, S.

Warber, M.

S. Zwick, T. Haist, Y. Miyamoto, L. He, M. Warber, A. Hermerschmidt, and W. Osten, J. Opt. A 11, 034011 (2009).
[CrossRef]

Zwick, S.

S. Zwick, C. Schaub, T. Haist, and W. Osten, Opt. Express 18, 19941 (2010).
[CrossRef]

S. Zwick, T. Haist, Y. Miyamoto, L. He, M. Warber, A. Hermerschmidt, and W. Osten, J. Opt. A 11, 034011 (2009).
[CrossRef]

Biophys. J. (1)

J. Guck, R. Ananthakrishnan, H. Mahmood, T. J. Moon, C. C. Cunningham, and J. Käs, Biophys. J. 81, 767 (2001).
[CrossRef]

J. Opt. (1)

C. López-Mariscal and J. Gutiérrez-Vega, J. Opt. 12, 075702 (2010).
[CrossRef]

J. Opt. A (1)

S. Zwick, T. Haist, Y. Miyamoto, L. He, M. Warber, A. Hermerschmidt, and W. Osten, J. Opt. A 11, 034011 (2009).
[CrossRef]

J. Opt. Soc. Am. A (1)

J. Opt. Soc. Am. B (1)

Measurement (1)

G. Jäger, T. Hausotte, E. Manske, H.-J. Büchner, R. Mastylo, N. Dorozhovets, and N. Hofmann, Measurement 43, 1099 (2010).
[CrossRef]

Nat. Photon. (1)

J. Glückstad, Nat. Photon. 5, 7 (2011).
[CrossRef]

Nature (1)

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

Opt. Express (4)

Opt. Lett. (1)

Phys. Rev. E (1)

N. B. Viana, M. S. Rocha, O. N. Mesquita, A. Mazolli, P. A. M. Neto, and H. M. Nussenzveig, Phys. Rev. E 75, 021914 (2007).
[CrossRef]

Other (1)

S. Stoebenau, M. Amberg, and S. Sinzinger, in Proceedings of the 10th International Conference of the European Society for Precision Engineering and Nanotechnology (Euspen, 2010), pp. 412–415.

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Figures (5)

Fig. 1.
Fig. 1.

Path of a ray in a sphere. At each interaction the intensity of the ray is split into a reflected part R and a refracted part T . The momentum is conserved by a force transferred to the sphere.

Fig. 2.
Fig. 2.

Comparison of forces along the laser axis. The forces generated with the design of the system introduced in this Letter (solid curve) are compared with force curves for known trap geometries. For the same input power, the simulated forces for the optimized design are considerably higher than with conventional designs ( n rel = 1.19 , diameter = 10 μm ).

Fig. 3.
Fig. 3.

Cross section of the integrated free-form optical trapping system. The axicon on the left side divides the incoming beam and generates a ring illumination. The second surface reflects the beam back on the optical axis and focuses simultaneously (not shown: microfluidic system).

Fig. 4.
Fig. 4.

Prototype of the specialized trapping system. The system is made from a single piece of PMMA and generates a highly focused optical trap at a working distance of 650 μm . The system has been successfully used to trap silica beads through a cover glass (thickness 530 μm ). The spacing of the grid is 5 mm .

Fig. 5.
Fig. 5.

Trapping of a 9 μm bead: 1,2 black bead is trapped, white bead sinks down due to gravity; 3 black bead is released; 4 black bead continues sinking down as well.

Equations (2)

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F j = 1 c q j · I j · A j ,
q j = [ n surr R ( k 1 r 1 ) + n surr T ( k 1 n rel t 1 ) ] + m = 2 j [ n surr T R m 1 ( t m 1 r m ) + n surr T 2 R m 2 ( t m 1 1 / n rel t m ) ] .

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