OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 44, Iss. 13 — May. 1, 2005
  • pp: 2667–2672

Axial optical trapping forces on two particles trapped simultaneously by optical tweezers

Shenghua Xu, Yinmei Li, and Liren Lou  »View Author Affiliations


Applied Optics, Vol. 44, Issue 13, pp. 2667-2672 (2005)
http://dx.doi.org/10.1364/AO.44.002667


View Full Text Article

Acrobat PDF (118 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Optical tweezers, which utilize radiation pressure to control and manipulate microscopic particles, are used for a large number of applications in biology and colloid science. In most applications a single optical tweezers is used to control one single particle. However, two or more particles can be trapped simultaneously. Although this characteristic has been used in applications, no theoretical analysis of the trapping force or the status of the trapped particles is available to our knowledge. We present our calculation, using a ray optics model, of the axial trapping forces on two rigid particles trapped in optical tweezers. The spherical aberration that results from a mismatch of the refractive indices of oil and water is also considered. The results show that the forces exerted by the optical tweezers on the two particles will cause the two particles to touch each other, and the two particles can be stably trapped at a joint equilibrium point. We also discuss the stability of axial trapping. The calculation will be useful in applications of optical tweezers to trap multiple particles.

© 2005 Optical Society of America

OCIS Codes
(080.2710) Geometric optics : Inhomogeneous optical media
(140.0140) Lasers and laser optics : Lasers and laser optics
(140.7010) Lasers and laser optics : Laser trapping

Citation
Shenghua Xu, Yinmei Li, and Liren Lou, "Axial optical trapping forces on two particles trapped simultaneously by optical tweezers," Appl. Opt. 44, 2667-2672 (2005)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-44-13-2667


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. A. Ashkin, J. M. Dziedzic, J. E. Bjorkholm, and S. Chu, "Observation of a single-beam gradient force optical trap for dielectric particles," Opt. Lett. 11, 288-290 (1986).
  2. A. Ashkin and J. M. Dziedzic, "Optical trapping and manipulation of viruses and bacteria," Science 235, 1517-1520 (1987).
  3. A. Ishijima, H. Kojima, T. Funatsu, M. Tokunaga, H. Higuchi, H. Tanaka, and T. Yanagida, "Simultaneous observation of individual ATPase and mechanical events by a single myosin molecule during interaction with actin," Cell 92, 161-171 (1998).
  4. M. D. Wang, "Manipulation of single molecules in biology," Curr. Opin. Biotechnol. 10, 81-86 (1999).
  5. J. C. Crocker, "Measurement of the hydrodynamic corrections to the Brownian motion of two colloidal spheres," J. Chem. Phys. 106, 2837-2840 (1997).
  6. J. C. Crocker and D. G. Grier, "Microscopic measurement of the pair interaction potential of charge-stabilized colloid," Phys. Rev. Lett. 73, 352-355 (1994).
  7. D. G. Grier, "Optical tweezers in colloid and interface science," Curr. Opin. Colloid Interface Sci. 2, 264-270 (1997).
  8. R. J. Owen, J. C. Crocker, R. Verma, and A. G. Yodh, "Measurement of long-range steric repulsions between microspheres due to an adsorbed polymer," Phys. Rev. E. 64, 11401 (2001).
  9. A. Ashkin, "Forces of a single-beam gradient trap on a dielectric sphere in the ray optics regime," Biophys. J. 61, 569-582 (1992).
  10. G. Roosen, "La levitation optique de spheres," Can. J. Phys. 57, 1260-1279 (1979).
  11. R. Gussgard, T. Lindmo, and I. Brevik, "Calculation of the trapping force in a strongly focused laser beam," J. Opt. Soc. Am. B 9, 1922-1930 (1992).
  12. J. P. Barton, D. R. Alexander, and S. A. Schaub, "Theoretical determination of net radiation force and torque for a spherical particle illuminated by a focused laser beam," J. Appl. Phys. 66, 4594-4602 (1989).
  13. A. Rohrbach and E. H. K. Stelzer, "Trapping forces, force constants, and potential depths for dielectric spheres in the presence of spherical aberrations," Appl. Opt. 41, 2494-2507 (2002).
  14. T. A. Nieminen, H. Rubinsztein-Dunlop, and N. R. Heckenberg, "Calculation and optical measurement of laser trapping forces on non-spherical particles," J. Quant. Spectrosc. Radiat. Transfer 70, 627-637 (2001).
  15. X. C. Yao, Z. L. Li, H. L. Guo, B. Y. Cheng, and D. Z. Zhang, "Effects of spherical aberration on optical trapping forces for Rayleigh particles," Chin. Phys. Lett. 18, 432-434 (2001).
  16. E. Fallman and O. Axner, "Influence of a glass-water interface on the on-axis trapping of micrometer-sized spherical objects by optical tweezers," Appl. Opt. 42, 3915-3926 (2003).
  17. V. Garces-Chavez, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, "Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam," Nature 419, 145-147 (2002).
  18. D. G. Grier, "A revolution in optical manipulation," Nature 424, 810-816 (2003).
  19. Z. W. Sun, S. H. Xu, G. L. Dai, Y. M. Li, L. R. Lou, Q. S. Liu, and R. Z. Zhu, "A microscopic approach to studying colloidal stability," J. Chem. Phys. 119, 2399-2405 (2003).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited