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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 53, Iss. 10 — Apr. 1, 2014
  • pp: B254–B258

Moving average process underlying the holographic–optical–tweezers experiments

Jakub Ślęzak, Sławomir Drobczyński, Karina Weron, and Jan Masajada  »View Author Affiliations


Applied Optics, Vol. 53, Issue 10, pp. B254-B258 (2014)
http://dx.doi.org/10.1364/AO.53.00B254


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Abstract

We study the statistical properties of recordings that contain time-dependent positions of a bead trapped in optical tweezers. Analysis of such a time series indicates that the commonly accepted model, i.e., the autoregressive process of first-order, is not sufficient to fit the data. We show the presence of a first-order moving average part in the dynamical model of the system. We explain the origin of this part as an influence of the high-frequency CCD camera on the measurements. We show that this influence evidently depends on the applied exposure time. The proposed autoregressive moving average model appears to reflect perfectly all statistical features of the high-frequency recording data.

© 2014 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(140.7010) Lasers and laser optics : Laser trapping
(170.4520) Medical optics and biotechnology : Optical confinement and manipulation
(350.4855) Other areas of optics : Optical tweezers or optical manipulation

History
Original Manuscript: November 5, 2013
Revised Manuscript: February 3, 2014
Manuscript Accepted: February 9, 2014
Published: March 21, 2014

Virtual Issues
Vol. 9, Iss. 6 Virtual Journal for Biomedical Optics

Citation
Jakub Ślęzak, Sławomir Drobczyński, Karina Weron, and Jan Masajada, "Moving average process underlying the holographic–optical–tweezers experiments," Appl. Opt. 53, B254-B258 (2014)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-53-10-B254


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References

  1. K. C. Neuman and S. M. Block, “Optical trapping,” Rev. Sci. Instrum. 75, 2787–2809 (2004). [CrossRef]
  2. A. Ranaweera, Investigations with Optical Tweezers: Construction, Identification, and Control (University of California, 2004).
  3. L. P. Ghislain, N. A. Switz, and W. W. Webb, “Measurement of small forces using an optical trap,” Rev. Sci. Instrum. 65, 2762–2768 (1994). [CrossRef]
  4. M. D. Wang, H. Yin, R. Landick, J. Gelles, and S. M. Block, “Stretching DNA with optical tweezers,” Biophys J. 72, 1335–1346 (1997). [CrossRef]
  5. S. B. Smith, Y. Cui, and C. Bustamante, “Overstretching B-DNA: the elastic response of individual double-stranded and single-stranded DNA molecules,” Science 271, 795–799 (1996). [CrossRef]
  6. M. E. Arsenault, Y. Sun, H. H. Baua, and Y. E. Goldman, “Using electrical and optical tweezers to facilitate studies of molecular motors,” Phys. Chem. Chem. Phys. 11, 4834–4839 (2009). [CrossRef]
  7. A. D. Mehta, M. Rief, J. A. Spudich, D. A. Smith, and R. M. Simmons, “Single-molecule biomechanics with optical methods,” Science 283, 1689–1695 (1999). [CrossRef]
  8. D. G. Grier, “Optical tweezers in colloid and interface science,” Curr. Opin. Colloid Interface Sci. 2, 264–270 (1997). [CrossRef]
  9. W. Coffey, Yu. Kalmykov, and J. Waldron, The Langevin Equation (World Scientific, 2005).
  10. K. Sobczyk, Stochastic Differential Equations (Kluwer Academic, 1991).
  11. D. Grier and Y. Roichman, “Holographic optical trapping,” Appl. Opt. 45, 880–887 (2006). [CrossRef]
  12. M. Polin, K. Ladavac, S.-H. Lee, Y. Roichman, and D. G. Grier, “Optimized holographic optical traps,” Opt. Express 13, 5831–5845 (2005). [CrossRef]
  13. A. Horst and N. Forde, “Power spectral analysis for optical trap stiffness calibration from high-speed camera position detection with limited bandwidth,” Opt. Express 18, 7670–7677 (2010). [CrossRef]
  14. P. Brockwell and R. Davis, Time Series: Theory and Methods (Springer-Verlag, 2006).
  15. G. Box, G. Jenkins, and G. Reinsel, Time Series Analysis: Forecasting and Control (Prentice-Hall, 1994).
  16. K. Berg-Sørensen and H. Flyvbjerg, “Power spectrum analysis for optical tweezers,” Rev. Sci. Instrum. 75, 594–613 (2004). [CrossRef]
  17. S. J. Orfanidis, Introduction to Signal Processing (Prentice-Hall, 1995).

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