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.
Department/s
Publishing year
2004
Language
English
Pages
4891-4896
Publication/Series
Decision and Control, 2004. CDC. 43rd IEEE Conference on
Volume
5
Full text
- Available as PDF - 174 kB
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Links
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