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Modelling harmonic generation measurements in solids.

S R Best1, A J Croxford, S A Neild

  • 1Department of Mechanical Engineering, Queen's Building, University Walk, Bristol BS8 1TR, UK.

Ultrasonics
|June 22, 2013
PubMed
Summary
This summary is machine-generated.

This study introduces a 3D model to improve nonlinear ultrasound measurements. The model accounts for diffraction and attenuation, offering more accurate nonlinearity parameter (β) calculations than standard plane wave methods.

Keywords:
AluminiumHarmonic generationSound beam

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Area of Science:

  • Nonlinear acoustics
  • Ultrasonic wave propagation
  • Materials characterization

Background:

  • Current harmonic generation measurements often rely on plane wave approximations.
  • These approximations neglect crucial experimental factors like diffraction, attenuation, and receiver integration.
  • Accurate measurement of the nonlinearity parameter (β) is essential for material property assessment.

Purpose of the Study:

  • To investigate the impact of diffraction, attenuation, and receiver integration on nonlinear ultrasound measurements.
  • To assess the importance of these effects across varying sample dimensions and input frequencies.
  • To develop and validate a more accurate method for determining the nonlinearity parameter (β).

Main Methods:

  • Development of a three-dimensional numerical model based on a quasi-linear assumption.
  • Experimental measurement of fundamental and second harmonic amplitude components along the axis of an ultrasonic beam.
  • Comparison of experimental results with predictions from the numerical model.

Main Results:

  • The numerical model accurately predicts experimental observations of ultrasonic beam propagation.
  • A significant difference was found between nonlinearity parameter (β) values extracted using the simulation and the standard plane wave method.
  • This discrepancy varied with axial range and input frequency, highlighting the limitations of the plane wave approach.

Conclusions:

  • The standard plane wave approximation is insufficient for accurate nonlinear ultrasound measurements.
  • The developed 3D numerical model provides a more reliable method for extracting the nonlinearity parameter (β).
  • Accounting for diffraction and attenuation is critical for precise material characterization using harmonic generation.