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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 48, Iss. 25 — Sep. 1, 2009
  • pp: 4832–4841

Real-time in situ calibration of an optically trapped probing system

Jingfang Wan, Yanan Huang, Sissy Jhiang, and Chia-Hsiang Menq  »View Author Affiliations

Applied Optics, Vol. 48, Issue 25, pp. 4832-4841 (2009)

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We present real-time in situ calibration of an optically trapped probing system. In the probing system, a micro/nanobead is stably trapped around the minimum of the field potential to serve as the measurement probe, whereas the random thermal force tends to destabilize it and causes Brownian motion around the equilibrium. The weighted recursive least-squares algorithm is applied to recursively update the system’s parameters, such as the state transition coefficient, and to estimate specific system response and the unknown variance of the Gaussian white noise in real time according to the probe’s motion. The real-time recursive algorithm was first applied to real-time calibration of measurement sensitivity and trapping stiffness for the case that the local temperature and the damping coefficient of the probe are known. It was then applied to estimate the probe’s local temperature in real time. Two experiments were designed to illustrate the applicability of the real-time calibration method. The experimental results show that the recursive algorithm is able to real-time calibrate the trapping stiffness of the probing system and the measurement sensitivity of the back-focal-plane interferometry employed for position measurement. The experimental results also show that the method can estimate the probe’s local temperature in real time.

© 2009 Optical Society of America

OCIS Codes
(140.6810) Lasers and laser optics : Thermal effects
(140.7010) Lasers and laser optics : Laser trapping

ToC Category:
Lasers and Laser Optics

Original Manuscript: May 26, 2009
Revised Manuscript: August 3, 2009
Manuscript Accepted: August 5, 2009
Published: August 21, 2009

Virtual Issues
Vol. 4, Iss. 11 Virtual Journal for Biomedical Optics

Jingfang Wan, Yanan Huang, Sissy Jhiang, and Chia-Hsiang Menq, "Real-time in situ calibration of an optically trapped probing system," Appl. Opt. 48, 4832-4841 (2009)

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