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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 35, Iss. 36 — Dec. 20, 1996
  • pp: 7112–7116

Determination of the force constant of a single-beam gradient trap by measurement of backscattered light

M. E. J. Friese, H. Rubinsztein-Dunlop, N. R. Heckenberg, and E. W. Dearden  »View Author Affiliations


Applied Optics, Vol. 35, Issue 36, pp. 7112-7116 (1996)
http://dx.doi.org/10.1364/AO.35.007112


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Abstract

A single-beam gradient trap could potentially be used to hold a stylus for scanning force microscopy. With a view to development of this technique, we modeled the optical trap as a harmonic oscillator and therefore characterized it by its force constant. We measured force constants and resonant frequencies for 1–4-μm-diameter polystyrene spheres in a single-beam gradient trap using measurements of backscattered light. Force constants were determined with both Gaussian and doughnut laser modes, with powers of 3 and 1 mW, respectively. Typical values for spring constants were measured to be between 10−6 and 4 × 10−6 N/m. The resonant frequencies of trapped particles were measured to be between 1 and 10 kHz, and the rms amplitudes of oscillations were estimated to be around 40 nm. Our results confirm that the use of the doughnut mode for single-beam trapping is more efficient in the axial direction.

© 1996 Optical Society of America

History
Original Manuscript: June 29, 1995
Revised Manuscript: May 20, 1996
Published: December 20, 1996

Citation
M. E. J. Friese, H. Rubinsztein-Dunlop, N. R. Heckenberg, and E. W. Dearden, "Determination of the force constant of a single-beam gradient trap by measurement of backscattered light," Appl. Opt. 35, 7112-7116 (1996)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-35-36-7112


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References

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  9. H. He, N. R. Heckenberg, H. Rubinsztein-Dunlop, “Optical particle trapping with higher order doughnut beams produced using high efficiency computer generated phase holograms,” J. Mod. Opt. 42, 217–223 (1995).
  10. J. Happel, H. Brenner, Low Reynolds Number Hydrodynamics (Prentice-Hall, Englewood Cliffs, N.J., 1965), pp. 330–331.

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