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Lateral Mean Exit Time of a Spherical Particle Trapped in an Optical Tweezer

Author

Summary, in English

We apply the Fokker-Planck equation to analyze the stochastic behavior of a 1-micron diameter polystyrene bead trapped in water using an optical tweezer. Due to thermal noise, given enough time, a trapped particle will escape con nement from the trap. However, at biological temperatures, for laser powers of greater than approximately 5 milliwatts at the focus, the mean rst exit time in the lateral plane is extremely large, and unbounded for most practical purposes. We show that the mean exit time increases exponentially with laser power. Furthermore, for a trapped 9.6-micron diameter polystyrene bead, we show that experimental mean passage times within the linear trapping region are in close agreement with theoretical calculations.

Publishing year

2004

Language

English

Pages

4891-4896

Publication/Series

Decision and Control, 2004. CDC. 43rd IEEE Conference on

Volume

5

Document type

Conference paper

Publisher

IEEE - Institute of Electrical and Electronics Engineers Inc.

Topic

  • Control Engineering

Keywords

  • thermal noise
  • radiation pressure
  • polymers
  • water
  • trapped polystyrene bead
  • stochastic behavior
  • spherical particle
  • optical tweezer
  • mean first exit time
  • linear trapping region
  • laser powers
  • Fokker-Planck equation
  • biological temperatures

Status

Published

ISBN/ISSN/Other

  • ISSN: 0191-2216
  • ISBN: 0-7803-8682-5