English

Allan Variance Analysis as Useful Tool to Determine Noise in Various Single-Molecule Setups

Data Analysis, Statistics and Probability 2009-09-01 v1 Optics

Abstract

One limitation on the performance of optical traps is the noise inherently present in every setup. Therefore, it is the desire of most experimentalists to minimize and possibly eliminate noise from their optical trapping experiments. A step in this direction is to quantify the actual noise in the system and to evaluate how much each particular component contributes to the overall noise. For this purpose we present Allan variance analysis as a straightforward method. In particular, it allows for judging the impact of drift which gives rise to low-frequency noise, which is extremely difficult to pinpoint by other methods. We show how to determine the optimal sampling time for calibration, the optimal number of data points for a desired experiment, and we provide measurements of how much accuracy is gained by acquiring additional data points. Allan variances of both micrometer-sized spheres and asymmetric nanometer-sized rods are considered.

Keywords

Cite

@article{arxiv.0908.4484,
  title  = {Allan Variance Analysis as Useful Tool to Determine Noise in Various Single-Molecule Setups},
  author = {Fabian Czerwinski and Andrew C. Richardson and Christine Selhuber-Unkel and Lene B. Oddershede},
  journal= {arXiv preprint arXiv:0908.4484},
  year   = {2009}
}

Comments

14 pages, 6 figures, presented at SPIE Optics+Photonics 2009 in San Diego, CA, USA