Abstract

There has been an interest to understand the trapping performance produced by a laser beam with a complex wavefront structure because the current methods for calculating trapping force ignore the effect of diffraction by a vectorial electromagnetic wave. In this letter, we present a method for determining radiation trapping force on a micro-particle, based on the vectorial diffraction theory and the Maxwell stress tensor approach. This exact method enables one to deal with not only complex apodization, phase, and polarization structures of trapping laser beams but also the effect of spherical aberration present in the trapping system.

© 2004 Optical Society of America

PDF Article

References

  • View by:
  • |

  1. 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]
  2. A. Ashkin, K. Schütze, J. M. Dziedzic, U. Euteneuer, and M. Schliwa, "Force generation of organelle transport measured in vivo by an infrared laser trap," Nature 348, 346-348 (1990).
    [CrossRef]
  3. S. Chu, "Laser manipulation of atoms and particles," Science 253, 861-866 (1991).
    [CrossRef]
  4. D. Ganic, X. Gan, and M. Gu, "Generation of doughnut laser beams by use of a liquid-crystal cell with a conversion efficiency near 100%," Opt. Lett. 27, 1351-1353 (2002).
  5. V. R. Daria, P. J. Rodrigo, and J. Glückstad, "Dynamic array of dark optical traps," Appl. Phys. Lett. 84, 323-325 (2004).
    [CrossRef]
  6. W. M. Lee and X. C. Yuan, "Observation of three-dimensional optical stacking of microparticles using a single Laguerre-Gaussian beam," Appl. Phys. Lett. 83, 5124-5126 (2003).
    [CrossRef]
  7. 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]
  8. 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).
  9. V. Garcés-Chávez, D. Mcgloin, H. Melville, W. Sibbett, and K. Dholakia, "Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam," Nature 419, 145 (2002).
    [CrossRef]
  10. 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).
  11. 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]
  12. A. Rohrbach and E. H. K. Stelzer, "Optical trapping of dielectric particles in arbitrary fields," J. Opt. Soc. Am. A 18, 839-853 (2001).
  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. J. A. Lock, "Calculation of the radiation trapping force for laser tweezers by use of generalized Lorenz-Mie theory. I. Localized model description of an on-axis tightly focused laser beam with spherical aberation," Appl. Opt. 43, 2532-2544 (2004).
    [CrossRef]
  15. J. 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).
    [CrossRef]
  16. P. Török, 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).
  17. M. Gu, Advanced optical imaging theory (Springer, Heidelberg 2000).
  18. W. H. Wright, G. J. Sonek, and M. W. Berns, "Radiation trapping forces on microspheres with optical tweezers," Appl. Phys. Lett. 63, 715-717 (1993).
    [CrossRef]
  19. H. Felgner, O. Müller, and M. Schliwa, "Calibration of light forces in optical tweezers," Appl. Opt. 34, 977-982 (1995).

Appl. Opt. (4)

Appl. Phys. Lett. (3)

W. H. Wright, G. J. Sonek, and M. W. Berns, "Radiation trapping forces on microspheres with optical tweezers," Appl. Phys. Lett. 63, 715-717 (1993).
[CrossRef]

V. R. Daria, P. J. Rodrigo, and J. Glückstad, "Dynamic array of dark optical traps," Appl. Phys. Lett. 84, 323-325 (2004).
[CrossRef]

W. M. Lee and X. C. Yuan, "Observation of three-dimensional optical stacking of microparticles using a single Laguerre-Gaussian beam," Appl. Phys. Lett. 83, 5124-5126 (2003).
[CrossRef]

Biophys. J. (1)

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).

J. Appl. Phys. (1)

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]

J. Opt. Soc. Am A (1)

A. Rohrbach and E. H. K. Stelzer, "Optical trapping of dielectric particles in arbitrary fields," J. Opt. Soc. Am. A 18, 839-853 (2001).

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

Nature (3)

V. Garcés-Chávez, D. Mcgloin, H. Melville, W. Sibbett, and K. Dholakia, "Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam," Nature 419, 145 (2002).
[CrossRef]

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]

A. Ashkin, K. Schütze, J. M. Dziedzic, U. Euteneuer, and M. Schliwa, "Force generation of organelle transport measured in vivo by an infrared laser trap," Nature 348, 346-348 (1990).
[CrossRef]

Opt. Express (1)

Opt. Lett. (1)

Science (2)

S. Chu, "Laser manipulation of atoms and particles," Science 253, 861-866 (1991).
[CrossRef]

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]

Other (1)

M. Gu, Advanced optical imaging theory (Springer, Heidelberg 2000).

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.


Metrics