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Applied Physics B

, Volume 83, Issue 1, pp 127–133 | Cite as

Performance bounds on single-particle tracking by fluorescence modulation

  • A.J. BerglundEmail author
  • H. Mabuchi
Article

Abstract

We consider fundamental bounds on the performance of single-particle tracking schemes based on non-imaging, fluorescence modulation methods. We calculate the noise density of a linearized position estimate arising from photon-counting statistics and find the optimal estimate of a freely diffusing particle’s position in the presence of this noise. For the experimentally relevant case of a Gaussian laser rapidly translated in a circular pattern, explicit expressions are derived for the noise density. Tracking performance limits are obtained by considering the variance in the estimated position of a Brownian particle with diffusion coefficient D in the presence of a noise density nm, which we find scales generically as (Dnm 2)1/2. For reasonable experimental parameters, a particle with diffusion coefficient D=1 μm2/s cannot be tracked with accuracy better than approximately 100 nm in three dimensions or 80 nm in two dimensions. Using a combination of exact results and numerical simulation, we construct a ‘phase diagram’ for determining parameter regimes in which a particle can be tracked in the presence of measurement noise.

Keywords

Tracking Error Linear Regime Noise Density Noise Spectral Density Feedback Bandwidth 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 2005

Authors and Affiliations

  1. 1.Physical Measurement and Control 266-33California Institute of TechnologyPasadenaUSA

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