Abstract

We present the result of an investigation into the optical trapping of spherical microparticles using laser beams with a spatially inhomogeneous polarization direction [cylindrical vector beams (CVBs)]. We perform three-dimensional tracking of the Brownian fluctuations in the position of a trapped particle and extract the trap spring constants. We characterize the trap geometry by the aspect ratio of spring constants in the directions transverse and parallel to the beam propagation direction and evaluate this figure of merit as a function of polarization angle. We show that the additional degree of freedom present in CVBs allows us to control the optical trap strength and geometry by adjusting only the polarization of the trapping beam. Experimental results are compared with a theoretical model of optical trapping using CVBs derived from electromagnetic scattering theory in the T-matrix framework.

© 2012 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. Q. Zhan, Adv. Opt. Photon. 1, 1 (2009).
    [CrossRef]
  2. K. Youngworth and T. Brown, Opt. Express 7, 77 (2000).
    [CrossRef]
  3. M. Rashid, O. M. Maragó, and P. H. Jones, J. Opt. A 11, 065204 (2009).
    [CrossRef]
  4. L. E. Helseth, Opt. Commun. 257, 1 (2006).
    [CrossRef]
  5. M. G. Donato, M. A. Monaca, G. Faggio, L. De Stefano, P. H. Jones, P. G. Gucciardi, and O. M. Maragó, Nanotechnology 22, 505704 (2011).
    [CrossRef]
  6. M. G. Donato, S. Vasi, R. Sayed, P. H. Jones, F. Bonaccorso, A. C. Ferrari, P. G. Gucciardi, and O. M. Maragò, Opt. Lett. 37, 3381 (2012).
    [CrossRef]
  7. H. Kawauchi, K. Yonezawa, Y. Kozawa, and S. Sato, Opt. Lett. 32, 1839 (2007).
    [CrossRef]
  8. T. A. Nieminen, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Opt. Lett. 33, 122 (2008).
    [CrossRef]
  9. Y. Kozawa and S. Sato, Opt. Express 18, 10828 (2010).
    [CrossRef]
  10. B. J. Roxworthy and K. C. Toussaint, New J. Phys. 12, 073012 (2010).
    [CrossRef]
  11. L. Huang, H. Guo, J. Li, L. Ling, B. Feng, and Z.-Y. Li, Opt. Lett. 37, 1694 (2012).
    [CrossRef]
  12. Q. Zhan, Opt. Express 12, 3377 (2004).
    [CrossRef]
  13. I. Iglesias and J. J. Sáenz, Opt. Express 20, 2832 (2012).
    [CrossRef]
  14. R. Saija, P. Denti, F. Borghese, O. M. Maragó, and M. A. Iatì, Opt. Express 17, 10231 (2009).
    [CrossRef]
  15. F. Borghese, P. Denti, R. Saija, and M. A. Iatì, Opt. Express 15, 11984 (2007).
    [CrossRef]
  16. F. Borghese, P. Denti, R. Saija, M. A. Iat, and O. M. Maragó, Phys. Rev. Lett. 100, 163903 (2008).
    [CrossRef]
  17. P. H. Jones, M. Rashid, M. Makita, and O. M. Maragó, Opt. Lett. 34, 2560 (2009).
    [CrossRef]
  18. Q. Zhan and J. Leger, Opt. Express 10, 324 (2002).
    [CrossRef]
  19. B. Richards and E. Wolf, Proc. R. Soc. London, Ser. A 253, 358 (1959).
    [CrossRef]
  20. F. Borghese, P. Denti, and R. Saija, Scattering from Model Nonspherical Particles (Springer, 2007).
  21. M. I. Mishchenko, J. Quant. Spectrosc. Radiat. Transfer 70, 811 (2001).
    [CrossRef]
  22. R. Saija, M. A. Iatì, A. Giusto, F. Borghese, P. Denti, S. Aiello, and C. Cecchi-Pestellini, Mon. Not. R. Astron. Soc. 341, 1239 (2003).
    [CrossRef]
  23. R. N. C. Pfeifer, T. A. Nieminen, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Rev. Mod. Phys. 79, 1197 (2007).
    [CrossRef]
  24. R. N. C. Pfeifer, T. A. Nieminen, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Rev. Mod. Phys. 81, 443 (2009).
    [CrossRef]
  25. H. Felgner, O. Müller, and M. Schliwa, Appl. Opt. 34, 977 (1995).
    [CrossRef]

2012 (3)

2011 (1)

M. G. Donato, M. A. Monaca, G. Faggio, L. De Stefano, P. H. Jones, P. G. Gucciardi, and O. M. Maragó, Nanotechnology 22, 505704 (2011).
[CrossRef]

2010 (2)

B. J. Roxworthy and K. C. Toussaint, New J. Phys. 12, 073012 (2010).
[CrossRef]

Y. Kozawa and S. Sato, Opt. Express 18, 10828 (2010).
[CrossRef]

2009 (5)

Q. Zhan, Adv. Opt. Photon. 1, 1 (2009).
[CrossRef]

R. Saija, P. Denti, F. Borghese, O. M. Maragó, and M. A. Iatì, Opt. Express 17, 10231 (2009).
[CrossRef]

P. H. Jones, M. Rashid, M. Makita, and O. M. Maragó, Opt. Lett. 34, 2560 (2009).
[CrossRef]

M. Rashid, O. M. Maragó, and P. H. Jones, J. Opt. A 11, 065204 (2009).
[CrossRef]

R. N. C. Pfeifer, T. A. Nieminen, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Rev. Mod. Phys. 81, 443 (2009).
[CrossRef]

2008 (2)

F. Borghese, P. Denti, R. Saija, M. A. Iat, and O. M. Maragó, Phys. Rev. Lett. 100, 163903 (2008).
[CrossRef]

T. A. Nieminen, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Opt. Lett. 33, 122 (2008).
[CrossRef]

2007 (3)

2006 (1)

L. E. Helseth, Opt. Commun. 257, 1 (2006).
[CrossRef]

2004 (1)

2003 (1)

R. Saija, M. A. Iatì, A. Giusto, F. Borghese, P. Denti, S. Aiello, and C. Cecchi-Pestellini, Mon. Not. R. Astron. Soc. 341, 1239 (2003).
[CrossRef]

2002 (1)

2001 (1)

M. I. Mishchenko, J. Quant. Spectrosc. Radiat. Transfer 70, 811 (2001).
[CrossRef]

2000 (1)

1995 (1)

1959 (1)

B. Richards and E. Wolf, Proc. R. Soc. London, Ser. A 253, 358 (1959).
[CrossRef]

Aiello, S.

R. Saija, M. A. Iatì, A. Giusto, F. Borghese, P. Denti, S. Aiello, and C. Cecchi-Pestellini, Mon. Not. R. Astron. Soc. 341, 1239 (2003).
[CrossRef]

Bonaccorso, F.

Borghese, F.

R. Saija, P. Denti, F. Borghese, O. M. Maragó, and M. A. Iatì, Opt. Express 17, 10231 (2009).
[CrossRef]

F. Borghese, P. Denti, R. Saija, M. A. Iat, and O. M. Maragó, Phys. Rev. Lett. 100, 163903 (2008).
[CrossRef]

F. Borghese, P. Denti, R. Saija, and M. A. Iatì, Opt. Express 15, 11984 (2007).
[CrossRef]

R. Saija, M. A. Iatì, A. Giusto, F. Borghese, P. Denti, S. Aiello, and C. Cecchi-Pestellini, Mon. Not. R. Astron. Soc. 341, 1239 (2003).
[CrossRef]

F. Borghese, P. Denti, and R. Saija, Scattering from Model Nonspherical Particles (Springer, 2007).

Brown, T.

Cecchi-Pestellini, C.

R. Saija, M. A. Iatì, A. Giusto, F. Borghese, P. Denti, S. Aiello, and C. Cecchi-Pestellini, Mon. Not. R. Astron. Soc. 341, 1239 (2003).
[CrossRef]

De Stefano, L.

M. G. Donato, M. A. Monaca, G. Faggio, L. De Stefano, P. H. Jones, P. G. Gucciardi, and O. M. Maragó, Nanotechnology 22, 505704 (2011).
[CrossRef]

Denti, P.

R. Saija, P. Denti, F. Borghese, O. M. Maragó, and M. A. Iatì, Opt. Express 17, 10231 (2009).
[CrossRef]

F. Borghese, P. Denti, R. Saija, M. A. Iat, and O. M. Maragó, Phys. Rev. Lett. 100, 163903 (2008).
[CrossRef]

F. Borghese, P. Denti, R. Saija, and M. A. Iatì, Opt. Express 15, 11984 (2007).
[CrossRef]

R. Saija, M. A. Iatì, A. Giusto, F. Borghese, P. Denti, S. Aiello, and C. Cecchi-Pestellini, Mon. Not. R. Astron. Soc. 341, 1239 (2003).
[CrossRef]

F. Borghese, P. Denti, and R. Saija, Scattering from Model Nonspherical Particles (Springer, 2007).

Donato, M. G.

M. G. Donato, S. Vasi, R. Sayed, P. H. Jones, F. Bonaccorso, A. C. Ferrari, P. G. Gucciardi, and O. M. Maragò, Opt. Lett. 37, 3381 (2012).
[CrossRef]

M. G. Donato, M. A. Monaca, G. Faggio, L. De Stefano, P. H. Jones, P. G. Gucciardi, and O. M. Maragó, Nanotechnology 22, 505704 (2011).
[CrossRef]

Faggio, G.

M. G. Donato, M. A. Monaca, G. Faggio, L. De Stefano, P. H. Jones, P. G. Gucciardi, and O. M. Maragó, Nanotechnology 22, 505704 (2011).
[CrossRef]

Felgner, H.

Feng, B.

Ferrari, A. C.

Giusto, A.

R. Saija, M. A. Iatì, A. Giusto, F. Borghese, P. Denti, S. Aiello, and C. Cecchi-Pestellini, Mon. Not. R. Astron. Soc. 341, 1239 (2003).
[CrossRef]

Gucciardi, P. G.

M. G. Donato, S. Vasi, R. Sayed, P. H. Jones, F. Bonaccorso, A. C. Ferrari, P. G. Gucciardi, and O. M. Maragò, Opt. Lett. 37, 3381 (2012).
[CrossRef]

M. G. Donato, M. A. Monaca, G. Faggio, L. De Stefano, P. H. Jones, P. G. Gucciardi, and O. M. Maragó, Nanotechnology 22, 505704 (2011).
[CrossRef]

Guo, H.

Heckenberg, N. R.

R. N. C. Pfeifer, T. A. Nieminen, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Rev. Mod. Phys. 81, 443 (2009).
[CrossRef]

T. A. Nieminen, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Opt. Lett. 33, 122 (2008).
[CrossRef]

R. N. C. Pfeifer, T. A. Nieminen, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Rev. Mod. Phys. 79, 1197 (2007).
[CrossRef]

Helseth, L. E.

L. E. Helseth, Opt. Commun. 257, 1 (2006).
[CrossRef]

Huang, L.

Iat, M. A.

F. Borghese, P. Denti, R. Saija, M. A. Iat, and O. M. Maragó, Phys. Rev. Lett. 100, 163903 (2008).
[CrossRef]

Iatì, M. A.

R. Saija, P. Denti, F. Borghese, O. M. Maragó, and M. A. Iatì, Opt. Express 17, 10231 (2009).
[CrossRef]

F. Borghese, P. Denti, R. Saija, and M. A. Iatì, Opt. Express 15, 11984 (2007).
[CrossRef]

R. Saija, M. A. Iatì, A. Giusto, F. Borghese, P. Denti, S. Aiello, and C. Cecchi-Pestellini, Mon. Not. R. Astron. Soc. 341, 1239 (2003).
[CrossRef]

Iglesias, I.

Jones, P. H.

M. G. Donato, S. Vasi, R. Sayed, P. H. Jones, F. Bonaccorso, A. C. Ferrari, P. G. Gucciardi, and O. M. Maragò, Opt. Lett. 37, 3381 (2012).
[CrossRef]

M. G. Donato, M. A. Monaca, G. Faggio, L. De Stefano, P. H. Jones, P. G. Gucciardi, and O. M. Maragó, Nanotechnology 22, 505704 (2011).
[CrossRef]

M. Rashid, O. M. Maragó, and P. H. Jones, J. Opt. A 11, 065204 (2009).
[CrossRef]

P. H. Jones, M. Rashid, M. Makita, and O. M. Maragó, Opt. Lett. 34, 2560 (2009).
[CrossRef]

Kawauchi, H.

Kozawa, Y.

Leger, J.

Li, J.

Li, Z.-Y.

Ling, L.

Makita, M.

Maragó, O. M.

M. G. Donato, M. A. Monaca, G. Faggio, L. De Stefano, P. H. Jones, P. G. Gucciardi, and O. M. Maragó, Nanotechnology 22, 505704 (2011).
[CrossRef]

M. Rashid, O. M. Maragó, and P. H. Jones, J. Opt. A 11, 065204 (2009).
[CrossRef]

P. H. Jones, M. Rashid, M. Makita, and O. M. Maragó, Opt. Lett. 34, 2560 (2009).
[CrossRef]

R. Saija, P. Denti, F. Borghese, O. M. Maragó, and M. A. Iatì, Opt. Express 17, 10231 (2009).
[CrossRef]

F. Borghese, P. Denti, R. Saija, M. A. Iat, and O. M. Maragó, Phys. Rev. Lett. 100, 163903 (2008).
[CrossRef]

Maragò, O. M.

Mishchenko, M. I.

M. I. Mishchenko, J. Quant. Spectrosc. Radiat. Transfer 70, 811 (2001).
[CrossRef]

Monaca, M. A.

M. G. Donato, M. A. Monaca, G. Faggio, L. De Stefano, P. H. Jones, P. G. Gucciardi, and O. M. Maragó, Nanotechnology 22, 505704 (2011).
[CrossRef]

Müller, O.

Nieminen, T. A.

R. N. C. Pfeifer, T. A. Nieminen, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Rev. Mod. Phys. 81, 443 (2009).
[CrossRef]

T. A. Nieminen, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Opt. Lett. 33, 122 (2008).
[CrossRef]

R. N. C. Pfeifer, T. A. Nieminen, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Rev. Mod. Phys. 79, 1197 (2007).
[CrossRef]

Pfeifer, R. N. C.

R. N. C. Pfeifer, T. A. Nieminen, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Rev. Mod. Phys. 81, 443 (2009).
[CrossRef]

R. N. C. Pfeifer, T. A. Nieminen, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Rev. Mod. Phys. 79, 1197 (2007).
[CrossRef]

Rashid, M.

P. H. Jones, M. Rashid, M. Makita, and O. M. Maragó, Opt. Lett. 34, 2560 (2009).
[CrossRef]

M. Rashid, O. M. Maragó, and P. H. Jones, J. Opt. A 11, 065204 (2009).
[CrossRef]

Richards, B.

B. Richards and E. Wolf, Proc. R. Soc. London, Ser. A 253, 358 (1959).
[CrossRef]

Roxworthy, B. J.

B. J. Roxworthy and K. C. Toussaint, New J. Phys. 12, 073012 (2010).
[CrossRef]

Rubinsztein-Dunlop, H.

R. N. C. Pfeifer, T. A. Nieminen, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Rev. Mod. Phys. 81, 443 (2009).
[CrossRef]

T. A. Nieminen, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Opt. Lett. 33, 122 (2008).
[CrossRef]

R. N. C. Pfeifer, T. A. Nieminen, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Rev. Mod. Phys. 79, 1197 (2007).
[CrossRef]

Sáenz, J. J.

Saija, R.

R. Saija, P. Denti, F. Borghese, O. M. Maragó, and M. A. Iatì, Opt. Express 17, 10231 (2009).
[CrossRef]

F. Borghese, P. Denti, R. Saija, M. A. Iat, and O. M. Maragó, Phys. Rev. Lett. 100, 163903 (2008).
[CrossRef]

F. Borghese, P. Denti, R. Saija, and M. A. Iatì, Opt. Express 15, 11984 (2007).
[CrossRef]

R. Saija, M. A. Iatì, A. Giusto, F. Borghese, P. Denti, S. Aiello, and C. Cecchi-Pestellini, Mon. Not. R. Astron. Soc. 341, 1239 (2003).
[CrossRef]

F. Borghese, P. Denti, and R. Saija, Scattering from Model Nonspherical Particles (Springer, 2007).

Sato, S.

Sayed, R.

Schliwa, M.

Toussaint, K. C.

B. J. Roxworthy and K. C. Toussaint, New J. Phys. 12, 073012 (2010).
[CrossRef]

Vasi, S.

Wolf, E.

B. Richards and E. Wolf, Proc. R. Soc. London, Ser. A 253, 358 (1959).
[CrossRef]

Yonezawa, K.

Youngworth, K.

Zhan, Q.

Adv. Opt. Photon. (1)

Appl. Opt. (1)

J. Opt. A (1)

M. Rashid, O. M. Maragó, and P. H. Jones, J. Opt. A 11, 065204 (2009).
[CrossRef]

J. Quant. Spectrosc. Radiat. Transfer (1)

M. I. Mishchenko, J. Quant. Spectrosc. Radiat. Transfer 70, 811 (2001).
[CrossRef]

Mon. Not. R. Astron. Soc. (1)

R. Saija, M. A. Iatì, A. Giusto, F. Borghese, P. Denti, S. Aiello, and C. Cecchi-Pestellini, Mon. Not. R. Astron. Soc. 341, 1239 (2003).
[CrossRef]

Nanotechnology (1)

M. G. Donato, M. A. Monaca, G. Faggio, L. De Stefano, P. H. Jones, P. G. Gucciardi, and O. M. Maragó, Nanotechnology 22, 505704 (2011).
[CrossRef]

New J. Phys. (1)

B. J. Roxworthy and K. C. Toussaint, New J. Phys. 12, 073012 (2010).
[CrossRef]

Opt. Commun. (1)

L. E. Helseth, Opt. Commun. 257, 1 (2006).
[CrossRef]

Opt. Express (7)

Opt. Lett. (5)

Phys. Rev. Lett. (1)

F. Borghese, P. Denti, R. Saija, M. A. Iat, and O. M. Maragó, Phys. Rev. Lett. 100, 163903 (2008).
[CrossRef]

Proc. R. Soc. London, Ser. A (1)

B. Richards and E. Wolf, Proc. R. Soc. London, Ser. A 253, 358 (1959).
[CrossRef]

Rev. Mod. Phys. (2)

R. N. C. Pfeifer, T. A. Nieminen, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Rev. Mod. Phys. 79, 1197 (2007).
[CrossRef]

R. N. C. Pfeifer, T. A. Nieminen, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Rev. Mod. Phys. 81, 443 (2009).
[CrossRef]

Other (1)

F. Borghese, P. Denti, and R. Saija, Scattering from Model Nonspherical Particles (Springer, 2007).

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 (3)

Fig. 1.
Fig. 1.

Experimental set-up for optical trapping with CVBs. The Sagnac interferometer section contains a spiral phase plate (SPP) and a Dove prism (DP), which interfere phase vortex beams to produce a CVB output. In the section labeled Polarization control, two half-wave plates (HWPs) rotate the CVB polarization vector to make an angle, ϕ0, with the radius.

Fig. 2.
Fig. 2.

Experimentally measured spring constants in transverse (κperp) and longitudinal (κz) directions as a function of polarization angle ϕ0 for latex spheres of diameter (a) 384 nm, (b) 1 μm, and (c) 2 μm. Each data point is the average of five measurements. Solid and dashed curves are fits of the form κ=κ0+κ1sin2ϕ0. (d) Trap aspect ratio κperp/κz for the 1 μm diameter sphere (the solid curve is determined from the fit parameters κ0, κ1 above). Dashed (dotted) line is the experimentally measured aspect ratio (experimental uncertainty) for a circularly polarized Laguerre–Gauss beam.

Fig. 3.
Fig. 3.

Calculated trap aspect ratio from the electromagnetic scattering theory. (a) Trap aspect ratio as a function of size parameter, ξ, for radially and azimuthally polarized beams, and (b) the effect of increasing spherical aberration on trap aspect ratio for d=2μm spherical particles in radially and azimuthally polarized traps.

Equations (2)

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

FRad=r2Ωr^·TMdΩ,
TM=18πRe[n2EE*+BB*]12(n2|E|2+|B|2)I,

Metrics