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

Ranaweera, Aruna; Åström, Karl Johan LU and Bamieh, Bassam (2004) In Decision and Control, 2004. CDC. 43rd IEEE Conference on 5. p.4891-4896
Abstract
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.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
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
in
Decision and Control, 2004. CDC. 43rd IEEE Conference on
volume
5
pages
4891 - 4896
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:14544303735
ISSN
0191-2216
ISBN
0-7803-8682-5
language
English
LU publication?
yes
id
95457583-7174-4b45-af3e-86fb020cdd67 (old id 536113)
alternative location
http://ieeexplore.ieee.org/xpls/abs_all.jsp?tp=&arnumber=1429574
date added to LUP
2007-09-24 16:35:53
date last changed
2017-01-01 06:46:25
@inproceedings{95457583-7174-4b45-af3e-86fb020cdd67,
  abstract     = {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.},
  author       = {Ranaweera, Aruna and Åström, Karl Johan and Bamieh, Bassam},
  booktitle    = {Decision and Control, 2004. CDC. 43rd IEEE Conference on},
  isbn         = {0-7803-8682-5},
  issn         = {0191-2216},
  keyword      = {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},
  language     = {eng},
  pages        = {4891--4896},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  title        = {Lateral Mean Exit Time of a Spherical Particle Trapped in an Optical Tweezer},
  volume       = {5},
  year         = {2004},
}