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Brownian motion in a nonhomogeneous force field and photonic force microscope

Giorgio Volpe1, Giovanni Volpe1, and Dmitri Petrov1,2

  • 1ICFO - Institut de Ciencies Fotoniques, Mediterranean Technology Park, 08860 Castelldefels (Barcelona), Spain
  • 2ICREA - Institució Catalana de Recerca i Estudis Avançats, 08010 Barcelona, Spain

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Phys. Rev. E 76, 061118 – Published 19 December, 2007

DOI: https://doi.org/10.1103/PhysRevE.76.061118

Abstract

The photonic force microscope (PFM) is an opto-mechanical technique that uses an optically trapped probe to measure forces in the range of pico to femto Newton. For a correct use of the PFM, the force field has to be homogeneous on the scale of the Brownian motion of the trapped probe. This condition implicates that the force field must be conservative, excluding the possibility of a rotational component. However, there are cases where these assumptions are not fulfilled. Here, we show how to expand the PFM technique in order to deal with these cases. We introduce the theory of this enhanced PFM and we propose a concrete analysis workflow to reconstruct the force field from the experimental time series of the probe position. Furthermore, we experimentally verify some particularly important cases, namely, the case of a conservative and of a rotational force field.

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Phys. Rev. E 76, 061118– Published 19 December, 2007
  • Received 9 August 2007

© 2007 American Physical Society

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