Abstract

The optical trapping forces acting on a metallic Rayleigh particle are calculated for the case where a double-ring-shaped radially polarized beam is applied. The influence of the off-focus distance and the off-axis distance of a trapping particle on the trapping force is investigated. Compared with the use of the conventional single-ring-shaped radially polarized beam, the longer axial trap distance and the larger radial trap stiffness are predicted using a double-ring-shaped radially polarized beam in an optical trap. These features are useful for improving the trapping ability of an optical trap system where a longer axial trap distance is needed.

© 2010 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. A. Ashkin, J. M. Dziedzic, J. E. Bjorkholm, and S. Chu, Opt. Lett.  11, 288 (1986).
    [CrossRef] [PubMed]
  2. D. G. Grier, Nature  424, 810 (2003).
    [CrossRef] [PubMed]
  3. M. J. Lang and S. M. Block, Am. J. Phys.  71, 201 (2003).
    [CrossRef]
  4. K. C. Neuman and S. M. Block, Rev. Sci. Instrum.  75, 2787 (2004).
    [CrossRef]
  5. A. Ashkin, Biophys. J.  61, 569 (1992).
    [CrossRef] [PubMed]
  6. R. Dorn, S. Quabis, and G. Leuchs, Phys. Rev. Lett.  91, 233901 (2003).
    [CrossRef] [PubMed]
  7. Q. Zhan, Opt. Express  12, 3377 (2004).
    [CrossRef] [PubMed]
  8. H. Kawauchi, K. Yonezawa, Y. Kozawa, and S. Sato, Opt. Lett.  32, 1839 (2007).
    [CrossRef] [PubMed]
  9. S. Yan and B. Yao, Phys. Rev. A  76, 053836 (2007).
    [CrossRef]
  10. J. Chen, J. Ng, S. Liu, and Z. Lin, Phys. Rev. E  80, 026607 (2009).
    [CrossRef]
  11. Y. Kozawa and S. Sato, Opt. Lett.  31, 820 (2006).
    [CrossRef] [PubMed]
  12. Y. Kozawa and S. Sato, J. Opt. Soc. Am. A Opt.  24, 1793 (2007).
    [CrossRef]
  13. Y. Zhang and J. Bai, Opt. Express  17, 3698 (2009).
    [CrossRef] [PubMed]
  14. B. Richards and E. Wolf, Proc. R. Soc. London Ser. A  253, 358 (1959).
    [CrossRef]
  15. S. Quabis, R. Dorn, M. Eberler, O. Glöckl, and G. Leuchs, Appl. Phys. B  72, 109 (2001).
  16. Y. Harada and T. Asakura, Opt. Commun.  124, 529 (1996).
    [CrossRef]

2009 (2)

J. Chen, J. Ng, S. Liu, and Z. Lin, Phys. Rev. E  80, 026607 (2009).
[CrossRef]

Y. Zhang and J. Bai, Opt. Express  17, 3698 (2009).
[CrossRef] [PubMed]

2007 (3)

H. Kawauchi, K. Yonezawa, Y. Kozawa, and S. Sato, Opt. Lett.  32, 1839 (2007).
[CrossRef] [PubMed]

Y. Kozawa and S. Sato, J. Opt. Soc. Am. A Opt.  24, 1793 (2007).
[CrossRef]

S. Yan and B. Yao, Phys. Rev. A  76, 053836 (2007).
[CrossRef]

2006 (1)

2004 (2)

Q. Zhan, Opt. Express  12, 3377 (2004).
[CrossRef] [PubMed]

K. C. Neuman and S. M. Block, Rev. Sci. Instrum.  75, 2787 (2004).
[CrossRef]

2003 (3)

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

M. J. Lang and S. M. Block, Am. J. Phys.  71, 201 (2003).
[CrossRef]

R. Dorn, S. Quabis, and G. Leuchs, Phys. Rev. Lett.  91, 233901 (2003).
[CrossRef] [PubMed]

2001 (1)

S. Quabis, R. Dorn, M. Eberler, O. Glöckl, and G. Leuchs, Appl. Phys. B  72, 109 (2001).

1996 (1)

Y. Harada and T. Asakura, Opt. Commun.  124, 529 (1996).
[CrossRef]

1992 (1)

A. Ashkin, Biophys. J.  61, 569 (1992).
[CrossRef] [PubMed]

1986 (1)

1959 (1)

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

Asakura, T.

Y. Harada and T. Asakura, Opt. Commun.  124, 529 (1996).
[CrossRef]

Ashkin, A.

Bai, J.

Bjorkholm, J. E.

Block, S. M.

K. C. Neuman and S. M. Block, Rev. Sci. Instrum.  75, 2787 (2004).
[CrossRef]

M. J. Lang and S. M. Block, Am. J. Phys.  71, 201 (2003).
[CrossRef]

Chen, J.

J. Chen, J. Ng, S. Liu, and Z. Lin, Phys. Rev. E  80, 026607 (2009).
[CrossRef]

Chu, S.

Dorn, R.

R. Dorn, S. Quabis, and G. Leuchs, Phys. Rev. Lett.  91, 233901 (2003).
[CrossRef] [PubMed]

S. Quabis, R. Dorn, M. Eberler, O. Glöckl, and G. Leuchs, Appl. Phys. B  72, 109 (2001).

Dziedzic, J. M.

Eberler, M.

S. Quabis, R. Dorn, M. Eberler, O. Glöckl, and G. Leuchs, Appl. Phys. B  72, 109 (2001).

Glöckl, O.

S. Quabis, R. Dorn, M. Eberler, O. Glöckl, and G. Leuchs, Appl. Phys. B  72, 109 (2001).

Grier, D. G.

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

Harada, Y.

Y. Harada and T. Asakura, Opt. Commun.  124, 529 (1996).
[CrossRef]

Kawauchi, H.

Kozawa, Y.

Lang, M. J.

M. J. Lang and S. M. Block, Am. J. Phys.  71, 201 (2003).
[CrossRef]

Leuchs, G.

R. Dorn, S. Quabis, and G. Leuchs, Phys. Rev. Lett.  91, 233901 (2003).
[CrossRef] [PubMed]

S. Quabis, R. Dorn, M. Eberler, O. Glöckl, and G. Leuchs, Appl. Phys. B  72, 109 (2001).

Lin, Z.

J. Chen, J. Ng, S. Liu, and Z. Lin, Phys. Rev. E  80, 026607 (2009).
[CrossRef]

Liu, S.

J. Chen, J. Ng, S. Liu, and Z. Lin, Phys. Rev. E  80, 026607 (2009).
[CrossRef]

Neuman, K. C.

K. C. Neuman and S. M. Block, Rev. Sci. Instrum.  75, 2787 (2004).
[CrossRef]

Ng, J.

J. Chen, J. Ng, S. Liu, and Z. Lin, Phys. Rev. E  80, 026607 (2009).
[CrossRef]

Quabis, S.

R. Dorn, S. Quabis, and G. Leuchs, Phys. Rev. Lett.  91, 233901 (2003).
[CrossRef] [PubMed]

S. Quabis, R. Dorn, M. Eberler, O. Glöckl, and G. Leuchs, Appl. Phys. B  72, 109 (2001).

Richards, B.

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

Sato, S.

Wolf, E.

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

Yan, S.

S. Yan and B. Yao, Phys. Rev. A  76, 053836 (2007).
[CrossRef]

Yao, B.

S. Yan and B. Yao, Phys. Rev. A  76, 053836 (2007).
[CrossRef]

Yonezawa, K.

Zhan, Q.

Zhang, Y.

Am. J. Phys. (1)

M. J. Lang and S. M. Block, Am. J. Phys.  71, 201 (2003).
[CrossRef]

Appl. Phys. B (1)

S. Quabis, R. Dorn, M. Eberler, O. Glöckl, and G. Leuchs, Appl. Phys. B  72, 109 (2001).

Biophys. J. (1)

A. Ashkin, Biophys. J.  61, 569 (1992).
[CrossRef] [PubMed]

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

Y. Kozawa and S. Sato, J. Opt. Soc. Am. A Opt.  24, 1793 (2007).
[CrossRef]

Nature (1)

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

Opt. Commun. (1)

Y. Harada and T. Asakura, Opt. Commun.  124, 529 (1996).
[CrossRef]

Opt. Express (2)

Opt. Lett. (3)

Phys. Rev. A (1)

S. Yan and B. Yao, Phys. Rev. A  76, 053836 (2007).
[CrossRef]

Phys. Rev. E (1)

J. Chen, J. Ng, S. Liu, and Z. Lin, Phys. Rev. E  80, 026607 (2009).
[CrossRef]

Phys. Rev. Lett. (1)

R. Dorn, S. Quabis, and G. Leuchs, Phys. Rev. Lett.  91, 233901 (2003).
[CrossRef] [PubMed]

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

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

Rev. Sci. Instrum. (1)

K. C. Neuman and S. M. Block, Rev. Sci. Instrum.  75, 2787 (2004).
[CrossRef]

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 (4)

Fig. 1
Fig. 1

The total radial trap force F t acting on a gold particle along the x axis for several different off-focus distances of z = 0 , 0.5, 1.0, and 1.5 μ m . The solid and dotted curves are cases with the R-TEM 11 and R-TEM 01 beams, respectively.

Fig. 2
Fig. 2

Dependence of the transverse trap stiffness on the off-focus distance of a particle for two different radially polarized beams.

Fig. 3
Fig. 3

The axial gradient force (left column), the sum of axial absorption and scattering forces (middle column), and the total axial trapping force (right column) for three different off-axis distances of x = 0 , 0.1, and 0.15 μ m . The solid and dotted curves are cases with the R-TEM 11 and R-TEM 01 beams, respectively.

Fig. 4
Fig. 4

Dependence of the axial trap stiffness on the off-axis distance of a particle for the two different radially polarized beams.

Equations (4)

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

E r ( r , z ) = η 0 α A ( θ ) cos   θ   sin   2 θ J 1 ( k 1 r   sin   θ ) exp ( i k 1 z   cos   θ ) d θ ,
E z ( r , z ) = 2 i η 0 α A ( θ ) cos   θ sin 2 θ J 0 ( k 1 r   sin   θ ) exp ( i k 1 z   cos   θ ) d θ ,
H φ ( r , z ) = 2 η n 1 μ 0 c 0 α A ( θ ) cos   θ   sin   θ   cos   2 θ J 1 ( k 1 r   sin   θ ) exp ( i k 1 z   cos   θ ) d θ ,
A ( θ ) = ( β   sin   θ sin   α ) 2 exp [ ( β   sin   θ sin   α ) 2 ] L p 1 [ 2 ( β   sin   θ sin   α ) 2 ] .

Metrics