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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 9, Iss. 10 — Oct. 1, 1992
  • pp: 1922–1930

Calculation of the trapping force in a strongly focused laser beam

R. Gussgard, T. Lindmo, and I. Brevik  »View Author Affiliations

JOSA B, Vol. 9, Issue 10, pp. 1922-1930 (1992)

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We present what is, to the best of our knowledge, the first detailed calculation of the reverse trapping force acting on a dielectric sphere when it is illuminated by a strongly focused laser beam. The calculation is carried out within the geometrical optics approximation. The phenomenon of laser trapping was discovered experimentally by Ashkinet al. [ Opt. Lett. 11, 288 ( 1986)] and is of great practical interest in view of the possibility it offers for freely manipulating biological particles, such as viruses and bacteria, in a nondestructive manner. We support our calculations by a qualitative experiment that clearly shows the accessibility of the trapping effect in practice. We use, as an experimental improvement, an objective with a central field stop producing a conical dark field. This enhances the relative contribution from high-N.A. illumination and makes it easier to achieve optical trapping.

© 1992 Optical Society of America

Original Manuscript: July 24, 1991
Published: October 1, 1992

R. Gussgard, I. Brevik, and T. Lindmo, "Calculation of the trapping force in a strongly focused laser beam," J. Opt. Soc. Am. B 9, 1922-1930 (1992)

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  1. A. Ashkin, “Acceleration and trapping of particles by radiation pressure,” Phys. Rev. Lett. 24, 156 (1970);“The pressure of laser light,” Sci. Am. 226, 63 (1972);A. Ashkin, J. M. Dziedzic, “Optical levitation by radiation pressure,” Appl. Phys. Lett. 19, 283 (1971);“Stability of optical levitation by radiation pressure,” Appl. Phys. Lett. 24, 586 (1974). [CrossRef]
  2. A. Ashkin, “Applications of laser radiation pressure,” Science 210, 1081 (1980);see also V. S. Letokhov, V. G. Minogin, “Laser radiation pressure on free atoms,” Phys. Rep. 73, 1 (1981). [CrossRef] [PubMed]
  3. A. Ashkin, J. P. Gordon, “Stability of radiation-pressure particle traps: an optical Earnshaw theorem,” Opt. Lett. 8, 511 (1983). [CrossRef] [PubMed]
  4. A. Ashkin, J. M. Dziedzic, “Observation of radiation-pressure trapping of particles by attenuating light beams,” Phys. Rev. Lett. 54, 1245 (1985). [CrossRef] [PubMed]
  5. G. Roosen, C. Imbert, “Optical levitation by means of two horizontal laser beams: a theoretical and experimental study,” Phys. Lett. 59A, 6 (1976).
  6. G. Roosen, B. Delaunay, C. Imbert, “Étude de la pression de radiation exercée par un faisceau lumineux sur une sphére refringente,” J. Opt. (Paris) 8, 181 (1977). [CrossRef]
  7. G. Roosen, “Effets mécaniques de la lumière: étude théorique, experimentale et applications,” thèse d’état (Université Paris XI, Orsay, France, 1978).
  8. G. Roosen, “La lévitation optique de sphères,” Can. J. Phys. 57, 1260 (1979). [CrossRef]
  9. G. Roosen, S. Slansky, “Influence of the beam divergence on the exerted force on a sphere by a laser beam and required conditions for a stable optical levitation,” Opt. Commun. 29, 341 (1979). [CrossRef]
  10. A. Ashkin, J. M. Dziedzic, J. E. Bjorkholm, S. Chu, “Observation of a single-beam gradient force optical trap for dielectric particles,” Opt. Lett. 11, 288 (1986). [CrossRef] [PubMed]
  11. L. D. Landau, E. M. Lifshitz, Electrodynamics of Continuous Media, 2nd ed. (Pergamon, Oxford, 1984).
  12. I. Brevik, “Experiments in phenomenological electrodynamics and the electromagnetic energy-momentum tensor,” Phys. Rep. 52, 133 (1979). [CrossRef]
  13. A. Ashkin, J. M. Dziedzic, “Optical trapping and manipulation of single living cells using infra-red laser beams,” Ber. Bunsenges. Phys. Chem. 93, 254 (1989). [CrossRef]
  14. H. Misawa, M. Koshioka, K. Sasaki, N. Kitamura, H. Masuhara, “Laser trapping, spectroscopy, and ablation of a single latex particle in water,” Chem. Lett. (Jpn) 8, 1479 (1990);“Spatial pattern formation, size selection, and directional flow of polymer latex particles by laser trapping technique,” Chem. Lett. (Jpn) 3, 469 (1991). [CrossRef]
  15. S. Sato, M. Ohyumi, H. Shibata, H. Inaba, “Optical trapping of small particles using a 1.3-μm compact InGaAsP diode laser,” Opt. Lett. 16, 282 (1991). [CrossRef] [PubMed]
  16. A. Ashkin, J. M. Dziedzic, “Optical trapping and manipulation of viruses and bacteria,” Science 235, 1517 (1987). [CrossRef] [PubMed]
  17. T. N. Buican, M. J. Smyth, H. A. Crissman, G. C. Salzman, C. C. Stewart, J. C. Martin, “Automated single-cell manipulation and sorting by light trapping,” Appl. Opt. 26, 5311 (1987). [CrossRef] [PubMed]
  18. S. M. Block, D. F. Blair, H. C. Berg, “Compliance of bacterial flagella measured with optical tweezers,” Nature (London) 338, 514 (1989). [CrossRef]
  19. M. W. Berns, W. H. Wright, B. J. Tromberg, G. A. Profeta, J. J. Andrews, R. J. Walter, “Use of laser-induced optical force trap to study chromosome movement on the mitotic spindle,” Proc. Natl. Acad. Sci. (USA) 86, 4539 (1989). [CrossRef]
  20. A. Ashkin, J. M. Dziedzic, “Internal cell manipulation using infrared laser traps,” Proc. Natl. Acad. Sci. (USA) 86, 7914 (1989). [CrossRef]
  21. A. Ashkin, K. Schütze, J. M. Dziedzic, U. Euteneuer, M. Schliwa, “Force generation of organelle transport measured in vivo by an infrared laser trap,” Nature (London) 348, 346 (1990). [CrossRef]
  22. S. M. Block, L. S. B. Goldstein, B. J. Schnapp, “Bead movement by single kinesin molecules studied with optical tweezers,” Nature (London) 348, 348 (1990). [CrossRef]
  23. M. Born, E. Wolf, Principles of Optics, 3rd ed. (Pergamon, Oxford, 1965).
  24. J. P. Barton, D. R. Alexander, S. A. Schaub, “Internal and near-surface electromagnetic fields for a spherical particle irradiated by a focused laser beam,” J. Appl. Phys. 64, 1632 (1988);“Internal fields of a spherical particle illuminated by a tightly focused laser beam: focal point positioning effects at resonance,” J. Appl. Phys. 65, 2900 (1989). [CrossRef]
  25. J. P. Barton, D. R. Alexander, “Fifth-order corrected electromagnetic field components for a fundamental Gaussian beam,” J. Appl. Phys. 66, 2800 (1989). [CrossRef]
  26. J. P. Barton, D. R. Alexander, 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 (1989);“Simplified scattering coefficient expressions for a spherical particle located on the propagation axis of a fifth-order Gaussian beam,” Appl. Phys. Lett. 55, 2709 (1989). [CrossRef]
  27. P. Mulser, “Radiation pressure on macroscopic bodies,” J. Opt. Soc. Am. B 2, 1814 (1985). [CrossRef]
  28. C. Møller, The Theory of Relativity, 2nd ed. (Clarendon, Oxford, 1972).
  29. See, for instance, M. Kerker, The Scattering of Light (Academic, New York, 1969).
  30. A. Drobnik, K. Łukaszewski, “Direct calculations of radiation pressure for spherical particles,” J. Opt. Soc. Am. A 7, 943 (1990). [CrossRef]
  31. A. Yariv, Introduction to Optical Electronics, 2nd ed. (Holt, Rinehart & Winston, New York, 1971), Chap. 3.
  32. L. W. Davis, “Theory of electromagnetic beams,” Phys. Rev. A 19, 1177 (1979). [CrossRef]
  33. J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941).
  34. H. M. Lai, P. T. Leung, K. L. Poon, K. Young, “Electrostrictive distortion of a micrometer-sized droplet by a laser pulse,” J. Opt. Soc. Am. B 6, 2430 (1989). [CrossRef]
  35. I. Brevik, “Fluids in electric and magnetic fields: pressure variation and stability,” Can. J. Phys. 60, 449 (1982). [CrossRef]
  36. H. Minkowski, “Die Grundgleichungen für die electromagnetischen Vorgänge in bewegten Körpern,” Nachr. Kgl. Ges. Wiss. Göttingen, p. 53 (1908).
  37. M. Abraham, “Zur Elektrodynamik bewegter Körper,” Rend. Cir. Mat. Palermo 28, 1 (1990);Rend. Cir. Mat. Palermo 30, 33 (1910). [CrossRef]
  38. I. Brevik, “Electromagnetic energy-momentum tensor within material media,” Parts 1 and 2, Mat. Fys. Medd. Dan. Vid. Selsk. 37(11), 1 (1970);Parts 1 and 2, Mat. Fys. Medd. Dan. Vid. Selsk. 37(13), 1 (1970);“Photon drag experiment and the electromagnetic momentum in matter,” Phys. Rev. B 33, 1058 (1986).

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