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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 8 — Apr. 12, 2010
  • pp: 7670–7677

Power spectral analysis for optical trap stiffness calibration from high-speed camera position detection with limited bandwidth

Astrid van der Horst and Nancy R. Forde  »View Author Affiliations

Optics Express, Vol. 18, Issue 8, pp. 7670-7677 (2010)

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The use of camera imaging enables trap calibration for multiple particles simultaneously. For stiff traps, however, blur from image integration time affects the detected particle positions significantly. In this paper we use power spectral analysis to calibrate stiff optical traps, taking the effects of blur, aliasing and position detection error into account, as put forward by Wong and Halvorsen [Opt. Express 14, 12517 (2006)]. We find agreement with simultaneously obtained photodiode data and the expected relation of corner frequency fc with laser power, up to fc = 3.6 kHz for a Nyquist frequency of 1.25 kHz. Spectral analysis enables easy identification of the contribution of noise. We demonstrate the utility of our approach with simultaneous calibration of multiple holographic optical traps.

© 2010 OSA

OCIS Codes
(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

ToC Category:
Optical Trapping and Manipulation

Original Manuscript: February 18, 2010
Revised Manuscript: March 19, 2010
Manuscript Accepted: March 19, 2010
Published: March 29, 2010

Virtual Issues
Vol. 5, Iss. 8 Virtual Journal for Biomedical Optics

Astrid van der Horst and Nancy R. Forde, "Power spectral analysis for optical trap stiffness calibration from high-speed camera position detection with limited bandwidth," Opt. Express 18, 7670-7677 (2010)

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  1. K. C. Neuman and S. M. Block, “Optical trapping,” Rev. Sci. Instrum. 75(9), 2787–2809 (2004). [CrossRef]
  2. W. P. Wong and K. Halvorsen, “The effect of integration time on fluctuation measurements: calibrating an optical trap in the presence of motion blur,” Opt. Express 14(25), 12517–12531 (2006), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-25-12517 . [CrossRef] [PubMed]
  3. A. van der Horst and N. R. Forde, “Calibration of dynamic holographic optical tweezers for force measurements on biomaterials,” Opt. Express 16(25), 20987–21003 (2008), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-25-20987 . [CrossRef] [PubMed]
  4. A. van der Horst, B. P. B. Downing, and N. R. Forde, “Position and intensity modulations in holographic optical traps created by a Liquid Crystal Spatial Light Modulator,” in Optical Trapping Applications, Vol. 1 of 2009 OSA Technical Digest (CD) (Optical Society of America, 2009), paper OMB3. http://www.opticsinfobase.org/oe/abstract.cfm?URI=OTA-2009-OMB3
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  7. E. J. G. Peterman, M. A. van Dijk, L. C. Kapitein, and C. F. Schmidt, “Extending the bandwidth of optical-tweezers interferometry,” Rev. Sci. Instrum. 74(7), 3246–3249 (2003). [CrossRef]
  8. E. J. G. Peterman, F. Gittes, and C. F. Schmidt, “Laser-induced heating in optical traps,” Biophys. J. 84(2), 1308–1316 (2003). [CrossRef] [PubMed]
  9. H. Mao, J. R. Arias-Gonzalez, S. B. Smith, I. Tinoco, and C. Bustamante, “Temperature control methods in a laser tweezers system,” Biophys. J. 89(2), 1308–1316 (2005). [CrossRef] [PubMed]
  10. A. Farré, A. van der Horst, G. A. Blab, B. P. B. Downing, and N. R. Forde, “Stretching single DNA molecules to demonstrate high-force capabilities of holographic optical tweezers,” J. Biophoton. 3(4), 224-233 (2010). [CrossRef]

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