On the calibration of astigmatism particle tracking velocimetry for microflows

  • Cierpka C
  • Rossi M
  • Segura R
 et al. 
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Astigmatism particle tracking velocimetry (APTV) is a method to determine three components (3C) of
the velocity field in a volume (3D) using a single camera. The depth position of the particles is
coded by optical distortions caused by a cylindrical lens in the optical setup. This technique is
particularly suited for microfluidic applications as measurement errors due to spatial averaging and
depth of correlation, typically encountered with μPIV approaches, are eliminated so that the
measurement precision is enhanced. Unfortunately, the current state of the technique is limited by
the small measurement region achievable with the current calibration procedures as well as by higher
order image aberrations (Cierpka et al 2010 Meas. Sci. Technol. [/0957-0233/21/4/045401] 21 045401
). In order to extend the size of the measurement volume and to account for all image aberrations, a
new intrinsic calibration procedure, based on the imaging function of the particles, is proposed in
the paper at hand. It provides an extended measurement depth, taking into account all image
aberrations. In this work, the calibration procedure was applied to a μPIV arrangement but could
also be implemented on macroscopic experimental setups. The calibration procedure is qualified with
synthetic data as well as Poiseuille flow in a straight rectangular micro-channel with a
cross-sectional area of 200 × 500 µm 2 . The three-dimensional velocity distribution of the whole
channel was resolved via APTV with uncertainties of 0.9% and 3.7% of the centerline velocity, u c ,
for the in-plane and out-of-plane components, respectively. Further investigations using different
cylindrical-lens focal lengths, magnifications and particle sizes provide information about
achievable measurement depths and help to design and adapt the optimal system for the desired

Author-supplied keywords

  • 3D3C PTV
  • Astigmatism
  • Microfluidics

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  • C. Cierpka

  • M. Rossi

  • R. Segura

  • C. J. Kähler

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