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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 43, Iss. 12 — Apr. 20, 2004
  • pp: 2545–2554

Calculation of the Radiation Trapping Force for Laser Tweezers by Use of Generalized Lorenz-Mie Theory. II. On-Axis Trapping Force

James A. Lock  »View Author Affiliations


Applied Optics, Vol. 43, Issue 12, pp. 2545-2554 (2004)
http://dx.doi.org/10.1364/AO.43.002545


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Abstract

The efficiency of trapping an on-axis spherical particle by use of laser tweezers for a particle size from the Rayleigh limit to the ray optics limit is calculated from generalized Lorenz-Mie light-scattering theory and the localized version of a Gaussian beam that has been truncated and focused by a high-numerical-aperture lens and that possesses spherical aberration as a result of its transmission through the wall of the sample cell. The results are compared with both the experimental trapping efficiency and the theoretical efficiency obtained from use of the localized version of a freely propagating focused Gaussian beam. The predicted trapping efficiency is found to decrease as a function of the depth of the spherical particle in the sample cell owing to an increasing amount of spherical aberration. The decrease in efficiency is also compared with experiment.

© 2004 Optical Society of America

OCIS Codes
(140.7010) Lasers and laser optics : Laser trapping
(290.4020) Scattering : Mie theory

Citation
James A. Lock, "Calculation of the Radiation Trapping Force for Laser Tweezers by Use of Generalized Lorenz-Mie Theory. II. On-Axis Trapping Force," Appl. Opt. 43, 2545-2554 (2004)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-43-12-2545


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References

  1. J. A. Lock, “Calculation of the radiation trapping force for laser tweezers by use of generalized Lorenz-Mie theory. 1. Localized model description of a tightly focused laser beam with spherical aberration,” Appl Opt. 43, 2532–2544 (2004).
  2. W. H. Wright, G. J. Sonek, and M. W. Berns, “Parametric study of the forces on microspheres held by optical tweezers,” Appl. Opt. 33, 1735–1748 (1994).
  3. H. Felgner, O. Muller, and M. Schliwa, “Calibration of light forces in optical tweezers,” Appl. Opt. 34, 977–982 (1995).
  4. 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).
  5. J. S. Kim and S. S. Lee, “Scattering of laser beams and the optical potential well for a homogeneous sphere,” J. Opt. Soc. Am. 73, 303–312 (1983).
  6. G. Gouesbet, B. Maheu, and G. Grehan, “Light scattering from a sphere arbitrarily located in a Gaussian beam, using a Bromwich formulation,” J. Opt. Soc. Am. A 5, 1427–1443 (1988).
  7. R. Pobre and C. Saloma, “Radiation force on a nonlinear microsphere by a tightly focused Gaussian beam,” Appl. Opt. 41, 7694–7701 (2002).
  8. G. Arfken, Mathematical Methods for Physicists, 3rd ed. (Academic, New York, 1985), p. 668, Eqs. (12.81) and (12.81a) and footnote 2.
  9. H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1981), p. 123.
  10. J. A. Lock and G. Gouesbet, “Rigorous justification of the localized approximation to the beam-shape coefficients in generalized Lorenz-Mie theory. I. On-axis beams,” J. Opt. Soc. Am. A 11, 2503–2515 (1994).
  11. 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).
  12. Y. Harada and T. Asakura, “Radiation forces on a dielectric sphere in the Rayleigh scattering regime,” Opt. Commun. 124, 529–541 (1996).
  13. A. Rohrbach and E. H. K. Stelzer, “Optical trapping of dielectric particles in arbitrary fields,” J. Opt. Soc. Am. A 18, 839–853 (2001).
  14. Ref. 9, pp. 143–144.
  15. Ref. 9, p. 127.
  16. A. Ashkin, “Forces of a single-beam gradient laser trap on a dielectric sphere in the ray optics regime,” Biophys. J. 61, 569–582 (1992).
  17. 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).
  18. S. Nemoto and H. Togo, “Axial force acting on a dielectric sphere in a focused laser beam,” Appl. Opt. 37, 6386–6394 (1998).
  19. W. J. Glantschnig and S.-H. Chen, “Light scattering from water droplets in the geometrical optics approximation,” Appl. Opt. 20, 2499–2509 (1981).
  20. A. Ungut, G. Grehan, and G. Gouesbet, “Comparisons between geometrical optics and Lorenz-Mie theory,” Appl. Opt. 20, 2911–2918 (1981).
  21. Y. Takano and M. Tanaka, “Phase matrix and cross sections for single scattering by circular cylinders: a comparison of ray optics and wave theory,” Appl. Opt. 19, 2781–2793 (1980).
  22. E. A. Hovenac and J. A. Lock, “Assessing the contributions of surface waves and complex rays to far-field Mie scattering by use of the Debye series,” J. Opt. Soc. Am. A 9, 781–795 (1992).
  23. J. P. Barton and D. R. Alexander, “Fifth-order corrected electromagnetic field components for a fundamental Gaussian beam,” J. Appl. Phys. 66, 2800–2802 (1989).
  24. A. C. Dogariu and R. Rajagopalan, “Optical traps as force transducers: the effects of focusing the trapping beam through a dielectric interface,” Langmuir 16, 2770–2778 (2000).
  25. 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).
  26. P. Torok, P. Varga, Z. Laczik, and G. R. Booker, “Electromagnetic diffraction of light focused through a planar interface between materials of mismatched refractive indices: an integral representation,” J. Opt. Soc. Am. A 12, 325–332 (1995).
  27. P. Torok, P. Varga, Z. Laczik, and G. R. Booker, “Electromagnetic diffraction of light focused through a planar interface between materials of mismatched refractive indices: an integral representation (errata),” J. Opt. Soc. Am. A 12, 1605 (1995).
  28. E. Wolf, “Electromagnetic diffraction in optical systems. I. An integral representation of the image field,” Proc. R. Soc. London Ser. A 253, 349–357 (1959).
  29. R. Richards and E. Wolf, “Electromagnetic diffraction in optical systems. II. Structure of the image field in an aplanatic system,” Proc. R. Soc. London Ser. A 253, 358–379 (1959).
  30. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic, New York, 1965), p. 634, Eq. (5.52.1).
  31. Ref. 30, p. 692, Eq. (6.574.2).
  32. M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions (National Bureau of Standards, Washington, D.C., 1964), pp. 369–370, Eqs. (9.4.1) and (9.4.3).
  33. Ref. 32, pp. 360 and 364, Eqs. (9.1.10), (9.2.5), (9.2.9), and (9.2.10).
  34. M. Born and E. Wolf, Principles of Optics, 6th ed. (Cambridge U. Press, Cambridge, 1998), p. 477, Fig. 9.3.
  35. P. Torok, P. Varga, and G. R. Booker, “Electromagnetic diffraction of light focused through a planar interface between materials of mismatched refractive indices: structure of the electromagnetic field. I.” J. Opt. Soc. Am. A 12, 2136–2144 (1995).
  36. A. M. MacRobert, “Star-test your telescope,” Sky Telescope 89(3), 42–47 (1995), unnumbered figure on p. 46.
  37. G. Videen, “Light scattering from a sphere on or near a surface,” J. Opt. Soc. Am. A 8, 483–489 (1991).
  38. G. Videen, “Light scattering from a sphere on or near a surface (errata),” J. Opt. Soc. Am. A 9, 844–845 (1992).
  39. B. R. Johnson, “Calculation of light scattering from a spherical particle on a surface by the multipole expansion method,” J. Opt. Soc. Am. A 13, 326–337 (1996).
  40. E. Fucile, P. Denti, F. Borghese, R. Saija, and O. I. Sindoni, “Optical properties of a sphere in the vicinity of a plane surface,” J. Opt. Soc. Am. A 14, 1505–1514 (1997).

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