Abstract

A physical model is presented to understand and calculate trapping force exerted on a dielectric micro-particle under focused evanescent wave illumination. This model is based on our recent vectorial diffraction model by a high numerical aperture objective operating under the total internal condition. As a result, trapping force in a focused evanescent spot generated by both plane wave (TEM00) and doughnut beam (TEM*01) illumination is calculated, showing an agreement with the measured results. It is also revealed by this model that unlike optical trapping in the far-field region, optical axial trapping force in an evanescent focal spot increases linearly with the size of a trapped particle. This prediction shows that it is possible to overcome the force of gravity to lift a polystyrene particle of up to 800 nm in radius with a laser beam of power 10 µW.

© 2004 Optical Society of America

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History
Original Manuscript: September 16, 2004
Revised Manuscript: October 26, 2004
Published: November 1, 2004

References

1. A. Ashkin, "Acceleration and trapping of particles by radiation pressure," Phys. Rev. Lett. 24, 156 (1970). [CrossRef]
2. A. Ashkin, J. M. Dziedzic, and T. Yamane, "Optical trapping and manipulation of single cells using infrared laser beams," Nature 330, 769-771 (1987). [CrossRef]
3. L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, "Controlled rotation of optically trapped microscopic particles," Science 292, 912-914 (2001). [CrossRef]
4. Y. Ishii and T. Yanagida, "Single molecule detection in life science," Single Mol. 1, 5-16 (2000). [CrossRef]
5. K. Svoboda, C. F. Schmidt, B. J. Schnapp, and S. M. Block, "Direct observation of kinesin stepping by optical trapping interferometry," Nature 365, 721-727 (1993). [CrossRef]
6. D. G. Grier, "A revolution in optical manipulation," Nature 424, 810-816 (2003). [CrossRef]
7. A. Ashkin, "Forces of a single-beam gradient laser trap on a dielectric sphere in the ray optics regime," Biophys. J. 61, 569-581 (1992).
8. 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). [CrossRef]
9. D. Ganic, X. Gan, and M. Gu, "Exact radiation trapping force calculation based on vectorial diffraction theory," Opt. Express 12, 2670-2675 (2004), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-12-2670">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-12-2670</a> [CrossRef]
10. P. C. Chaumet, A. Rahmani, and M. Nieto-Vesperinas, "Optical trapping and manipulation of nano-objects with an apertureless probe," Phys. Rev. Lett. 88, 123601-1-4 (2002). [CrossRef]
11. L. Novotny, R. X. Bian, and X. S. Xie, "Theory of nanometric optical tweezers," Phys. Rev. Lett. 79, 645-648 (1997). [CrossRef]
12. K. Okamoto and S. Kawata, "Radiation force exerted on subwavelength particles near a nanoaperture," Phys. Rev. Lett. 83, 4534-4537 (1999). [CrossRef]
13. M. Gu, J. B. Haumonte, Y. Micheau, and J. W. M. Chon, "Laser trapping and manipulation under focused evanescent wave illumination," Appl. Phys. Lett. 84, 4236-4238 (2004). [CrossRef]
14. D. Ganic, X. Gan, and M. Gu, "Focusing of doughnut laser beams by a high numerical-aperture objective in free space," Opt. Express 11, 2747-2752 (2003), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-21-2747">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-21-2747</a>
15. M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, "Creation and manipulation of three-dimensional optically trapped structures," Science 296, 1101-1103 (2002). [CrossRef]
16. J. W. M. Chon and M. Gu, "Scanning total internal reflection fluorescence microscopy under one-photon and two-photon excitation: image formation," Appl. Opt. 43, 1063-1071 (2004). [CrossRef]
17. D. Ganic, X. Gan, M. Gu, M. Hain, S. Somalingam, S. Stankovic, and T. Tschudi, "Generation of doughnut laser beams by use of a liquid-crystal cell with a conversion efficiency near 100%," Opt. Lett. 27, 1351-1353 (2002).
18. M. Gu, D. Morrish, and P. C. Ke, "Enhancement of transverse trapping efficiency for a metallic particle using an obstructed laser beam," Appl. Phys. Lett. 77, 34-36 (2000). [CrossRef]
19. M. Born and E. Wolf, Principles of optics (Cambridge University Press, Cambridge 1999).

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