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Modeling and correction of image drift in dynamic shadowgraphy experiments.

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Area of Science:

  • Physics
  • Physical Chemistry
  • Fluid Dynamics

Background:

  • Phoretic transport phenomena under non-stationary conditions are challenging to study experimentally.
  • Optical methods for detecting temperature and concentration fluctuations are susceptible to artifacts.
  • Dynamic shadowgraphy is a key technique for observing these fluctuations.

Purpose of the Study:

  • To address a systematic experimental artifact in dynamic shadowgraphy of non-equilibrium fluctuations.
  • To clarify the origin of a spurious quadratic time-delay contribution in structure functions.
  • To propose a method for reliable reconstruction of genuine fluctuation dynamics.

Main Methods:

  • Dynamic shadowgraphy to investigate non-equilibrium fluctuations in liquid mixtures.
  • Analysis of structure functions and their dependence on time delay.
  • Identification of experimental artifacts related to sample cell alignment and gravity.

Main Results:

  • A spurious quadratic time-delay contribution to the structure function was identified.
  • The artifact originates from imperfect sample cell alignment with gravity.
  • This misalignment couples concentration profile evolution with optical signal detection.

Conclusions:

  • A data analysis protocol is proposed to correct for the identified artifact.
  • This protocol allows for the reliable reconstruction of genuine non-equilibrium fluctuation dynamics.
  • Improved experimental analysis of phoretic transport under non-stationary conditions is enabled.