Abstract

It is shown that by appropriately choosing the periodicity of a blinking optical trap only larger sized colloidal spheres can be selectively trapped out of a mixed population. This happens because smaller sized, more agile, spheres escape out of the trap volume during the off period of the trap beam. Therefore, by scanning an array of blinking traps over a mixed sample, bigger spheres can be forced to move with the traps and eventually could be taken to the output side. Experimental demonstration of sorting between 1 µm and 2 µm diameter silica spheres is presented.

© 2012 Optical Society of America

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References

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  12. P. Schiro, C. DuBois, and A. Kwok, Opt. Express 11, 3485 (2003).
    [CrossRef]

2008 (1)

P. Jakl, T. Čižmár, M. Šerý, and P. Zemánek, Appl. Phys. Lett. 92, 161110 (2008).
[CrossRef]

2007 (2)

G. Milne, D. Rhodes, M. MacDonald, and K. Dholakia, Opt. Lett. 32, 1144 (2007).
[CrossRef]

R. L. Smith, G. C. Spalding, K. Dholakia, and M. P. MacDonald, J. Opt. A 9, S134 (2007).
[CrossRef]

2006 (2)

T. Čižmár, M. Šiler, M. Šerý, P. Zemánek, V. Garcés-Chávez, and K. Dholakia, Phys. Rev. B 74, 035105 (2006).
[CrossRef]

I. Ricárdez-Vargas, P. Rodríguez-Montero, R. Ramos-Garcíaa, and K. Volke-Sepúlvedaa, Appl. Phys. Lett. 88, 121116 (2006).
[CrossRef]

2005 (1)

L. Paterson, E. Papagiakoumou, G. Milne, V. Garcés-Chávez, S. A. Tatarkova, W. Sibbett, F. J. Gunn-Moore, P. E. Bryant, A. C. Riches, and K. Dholakia, Appl. Phys. Lett. 87, 123901 (2005).
[CrossRef]

2004 (1)

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

2003 (3)

M. P. MacDonald, G. C. Spalding, and K. Dholakia, Nature 426, 421 (2003).
[CrossRef]

H. Andersson and A. van den Berg, Sens. Actuators B 92, 315 (2003).
[CrossRef]

P. Schiro, C. DuBois, and A. Kwok, Opt. Express 11, 3485 (2003).
[CrossRef]

1988 (1)

J. Gelles, B. J. Schnapp, and M. P. Sheetz, Nature 331, 450 (1988).
[CrossRef]

Andersson, H.

H. Andersson and A. van den Berg, Sens. Actuators B 92, 315 (2003).
[CrossRef]

Berg, H. C.

H. C. Berg, Random Walks in Biology (Princeton University, 1993).

Bryant, P. E.

L. Paterson, E. Papagiakoumou, G. Milne, V. Garcés-Chávez, S. A. Tatarkova, W. Sibbett, F. J. Gunn-Moore, P. E. Bryant, A. C. Riches, and K. Dholakia, Appl. Phys. Lett. 87, 123901 (2005).
[CrossRef]

Cižmár, T.

P. Jakl, T. Čižmár, M. Šerý, and P. Zemánek, Appl. Phys. Lett. 92, 161110 (2008).
[CrossRef]

T. Čižmár, M. Šiler, M. Šerý, P. Zemánek, V. Garcés-Chávez, and K. Dholakia, Phys. Rev. B 74, 035105 (2006).
[CrossRef]

Dholakia, K.

G. Milne, D. Rhodes, M. MacDonald, and K. Dholakia, Opt. Lett. 32, 1144 (2007).
[CrossRef]

R. L. Smith, G. C. Spalding, K. Dholakia, and M. P. MacDonald, J. Opt. A 9, S134 (2007).
[CrossRef]

T. Čižmár, M. Šiler, M. Šerý, P. Zemánek, V. Garcés-Chávez, and K. Dholakia, Phys. Rev. B 74, 035105 (2006).
[CrossRef]

L. Paterson, E. Papagiakoumou, G. Milne, V. Garcés-Chávez, S. A. Tatarkova, W. Sibbett, F. J. Gunn-Moore, P. E. Bryant, A. C. Riches, and K. Dholakia, Appl. Phys. Lett. 87, 123901 (2005).
[CrossRef]

M. P. MacDonald, G. C. Spalding, and K. Dholakia, Nature 426, 421 (2003).
[CrossRef]

DuBois, C.

Garcés-Chávez, V.

T. Čižmár, M. Šiler, M. Šerý, P. Zemánek, V. Garcés-Chávez, and K. Dholakia, Phys. Rev. B 74, 035105 (2006).
[CrossRef]

L. Paterson, E. Papagiakoumou, G. Milne, V. Garcés-Chávez, S. A. Tatarkova, W. Sibbett, F. J. Gunn-Moore, P. E. Bryant, A. C. Riches, and K. Dholakia, Appl. Phys. Lett. 87, 123901 (2005).
[CrossRef]

Gelles, J.

J. Gelles, B. J. Schnapp, and M. P. Sheetz, Nature 331, 450 (1988).
[CrossRef]

Grier, D. G.

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

Gunn-Moore, F. J.

L. Paterson, E. Papagiakoumou, G. Milne, V. Garcés-Chávez, S. A. Tatarkova, W. Sibbett, F. J. Gunn-Moore, P. E. Bryant, A. C. Riches, and K. Dholakia, Appl. Phys. Lett. 87, 123901 (2005).
[CrossRef]

Jakl, P.

P. Jakl, T. Čižmár, M. Šerý, and P. Zemánek, Appl. Phys. Lett. 92, 161110 (2008).
[CrossRef]

Kasza, K.

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

Kwok, A.

Ladavac, K.

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

MacDonald, M.

MacDonald, M. P.

R. L. Smith, G. C. Spalding, K. Dholakia, and M. P. MacDonald, J. Opt. A 9, S134 (2007).
[CrossRef]

M. P. MacDonald, G. C. Spalding, and K. Dholakia, Nature 426, 421 (2003).
[CrossRef]

Milne, G.

G. Milne, D. Rhodes, M. MacDonald, and K. Dholakia, Opt. Lett. 32, 1144 (2007).
[CrossRef]

L. Paterson, E. Papagiakoumou, G. Milne, V. Garcés-Chávez, S. A. Tatarkova, W. Sibbett, F. J. Gunn-Moore, P. E. Bryant, A. C. Riches, and K. Dholakia, Appl. Phys. Lett. 87, 123901 (2005).
[CrossRef]

Papagiakoumou, E.

L. Paterson, E. Papagiakoumou, G. Milne, V. Garcés-Chávez, S. A. Tatarkova, W. Sibbett, F. J. Gunn-Moore, P. E. Bryant, A. C. Riches, and K. Dholakia, Appl. Phys. Lett. 87, 123901 (2005).
[CrossRef]

Paterson, L.

L. Paterson, E. Papagiakoumou, G. Milne, V. Garcés-Chávez, S. A. Tatarkova, W. Sibbett, F. J. Gunn-Moore, P. E. Bryant, A. C. Riches, and K. Dholakia, Appl. Phys. Lett. 87, 123901 (2005).
[CrossRef]

Ramos-Garcíaa, R.

I. Ricárdez-Vargas, P. Rodríguez-Montero, R. Ramos-Garcíaa, and K. Volke-Sepúlvedaa, Appl. Phys. Lett. 88, 121116 (2006).
[CrossRef]

Rhodes, D.

Ricárdez-Vargas, I.

I. Ricárdez-Vargas, P. Rodríguez-Montero, R. Ramos-Garcíaa, and K. Volke-Sepúlvedaa, Appl. Phys. Lett. 88, 121116 (2006).
[CrossRef]

Riches, A. C.

L. Paterson, E. Papagiakoumou, G. Milne, V. Garcés-Chávez, S. A. Tatarkova, W. Sibbett, F. J. Gunn-Moore, P. E. Bryant, A. C. Riches, and K. Dholakia, Appl. Phys. Lett. 87, 123901 (2005).
[CrossRef]

Rodríguez-Montero, P.

I. Ricárdez-Vargas, P. Rodríguez-Montero, R. Ramos-Garcíaa, and K. Volke-Sepúlvedaa, Appl. Phys. Lett. 88, 121116 (2006).
[CrossRef]

Schiro, P.

Schnapp, B. J.

J. Gelles, B. J. Schnapp, and M. P. Sheetz, Nature 331, 450 (1988).
[CrossRef]

Šerý, M.

P. Jakl, T. Čižmár, M. Šerý, and P. Zemánek, Appl. Phys. Lett. 92, 161110 (2008).
[CrossRef]

T. Čižmár, M. Šiler, M. Šerý, P. Zemánek, V. Garcés-Chávez, and K. Dholakia, Phys. Rev. B 74, 035105 (2006).
[CrossRef]

Sheetz, M. P.

J. Gelles, B. J. Schnapp, and M. P. Sheetz, Nature 331, 450 (1988).
[CrossRef]

Sibbett, W.

L. Paterson, E. Papagiakoumou, G. Milne, V. Garcés-Chávez, S. A. Tatarkova, W. Sibbett, F. J. Gunn-Moore, P. E. Bryant, A. C. Riches, and K. Dholakia, Appl. Phys. Lett. 87, 123901 (2005).
[CrossRef]

Šiler, M.

T. Čižmár, M. Šiler, M. Šerý, P. Zemánek, V. Garcés-Chávez, and K. Dholakia, Phys. Rev. B 74, 035105 (2006).
[CrossRef]

Smith, R. L.

R. L. Smith, G. C. Spalding, K. Dholakia, and M. P. MacDonald, J. Opt. A 9, S134 (2007).
[CrossRef]

Spalding, G. C.

R. L. Smith, G. C. Spalding, K. Dholakia, and M. P. MacDonald, J. Opt. A 9, S134 (2007).
[CrossRef]

M. P. MacDonald, G. C. Spalding, and K. Dholakia, Nature 426, 421 (2003).
[CrossRef]

Tatarkova, S. A.

L. Paterson, E. Papagiakoumou, G. Milne, V. Garcés-Chávez, S. A. Tatarkova, W. Sibbett, F. J. Gunn-Moore, P. E. Bryant, A. C. Riches, and K. Dholakia, Appl. Phys. Lett. 87, 123901 (2005).
[CrossRef]

van den Berg, A.

H. Andersson and A. van den Berg, Sens. Actuators B 92, 315 (2003).
[CrossRef]

Volke-Sepúlvedaa, K.

I. Ricárdez-Vargas, P. Rodríguez-Montero, R. Ramos-Garcíaa, and K. Volke-Sepúlvedaa, Appl. Phys. Lett. 88, 121116 (2006).
[CrossRef]

Zemánek, P.

P. Jakl, T. Čižmár, M. Šerý, and P. Zemánek, Appl. Phys. Lett. 92, 161110 (2008).
[CrossRef]

T. Čižmár, M. Šiler, M. Šerý, P. Zemánek, V. Garcés-Chávez, and K. Dholakia, Phys. Rev. B 74, 035105 (2006).
[CrossRef]

Appl. Phys. Lett. (3)

L. Paterson, E. Papagiakoumou, G. Milne, V. Garcés-Chávez, S. A. Tatarkova, W. Sibbett, F. J. Gunn-Moore, P. E. Bryant, A. C. Riches, and K. Dholakia, Appl. Phys. Lett. 87, 123901 (2005).
[CrossRef]

I. Ricárdez-Vargas, P. Rodríguez-Montero, R. Ramos-Garcíaa, and K. Volke-Sepúlvedaa, Appl. Phys. Lett. 88, 121116 (2006).
[CrossRef]

P. Jakl, T. Čižmár, M. Šerý, and P. Zemánek, Appl. Phys. Lett. 92, 161110 (2008).
[CrossRef]

J. Opt. A (1)

R. L. Smith, G. C. Spalding, K. Dholakia, and M. P. MacDonald, J. Opt. A 9, S134 (2007).
[CrossRef]

Nature (2)

J. Gelles, B. J. Schnapp, and M. P. Sheetz, Nature 331, 450 (1988).
[CrossRef]

M. P. MacDonald, G. C. Spalding, and K. Dholakia, Nature 426, 421 (2003).
[CrossRef]

Opt. Express (1)

Opt. Lett. (1)

Phys. Rev. B (1)

T. Čižmár, M. Šiler, M. Šerý, P. Zemánek, V. Garcés-Chávez, and K. Dholakia, Phys. Rev. B 74, 035105 (2006).
[CrossRef]

Phys. Rev. E (1)

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

Sens. Actuators B (1)

H. Andersson and A. van den Berg, Sens. Actuators B 92, 315 (2003).
[CrossRef]

Other (1)

H. C. Berg, Random Walks in Biology (Princeton University, 1993).

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Figures (3)

Fig. 1.
Fig. 1.

Schematic of setup. The lenses L1 (f=50mm) and L2 (f=100mm) expands the laser beam to slightly underfill the aperture of the AOD. Mirrors M1, M2 and the half wave plate (HWP) couples the beam to AOD. Mirrors M3, M4 and lenses L3 (f=150mm) and L4 (f=300mm) and the dichroic mirror (DM) image the AOD onto the objective back aperture. An iris was used to select the (1,1) diffraction order. A fiber optic source illuminates the sample, which was imaged onto the CCD camera using mirror M5 and lens L5 (f=150mm). A cut-off filter was used to suppress the back scattered laser light onto the CCD.

Fig. 2.
Fig. 2.

(a) Escape probabilities of spheres against TOFF. (b) Trajectories of a (i) 1 µm and (ii) 2 µm particle in trap. (c) (i) Image frames showing the motion of the particles when the traps are moving toward the right. (ii) Particle trajectories with dark lines and faded lines representing 2 µm and 1 µm spheres, respectively.

Fig. 3.
Fig. 3.

(a) The scanning pattern of the trap array for sweeping over an area. (b) (i) Image frames showing sorting between 1 µm and 2 µm silica spheres. (ii) Trajectories of the 1 µm (fade lines) and 2 µm (dark lines) spheres.

Equations (2)

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|r2|=6Dt,
D=kBT/6πηR,

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