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Diffuse ultrasonic backscatter using a multi-Gaussian beam model.

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A new multi-Gaussian beam (MGB) model for ultrasonic backscatter analysis shows potential improvements over the single-Gaussian beam (SGB) model, particularly for curved surfaces. However, both models provide similar grain size estimates in stainless steel pipes.

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Area of Science:

  • Materials Science
  • Non-destructive Testing
  • Ultrasonic Characterization

Background:

  • Diffuse ultrasonic backscatter is crucial for material microstructural analysis.
  • Existing singly scattered response (SSR) models often assume a single-Gaussian beam (SGB), potentially limiting accuracy.

Purpose of the Study:

  • To develop and validate a multi-Gaussian beam (MGB) model for ultrasonic scattering.
  • To analyze longitudinal-to-longitudinal scattering at interfaces with varying curvature.

Main Methods:

  • Utilized Wigner transform with conjugate double-layer MGB expressions for transducer field characterization.
  • Developed a theoretical model for normal incidence scattering.
  • Compared MGB-SSR and SGB-SSR models using experimental data from stainless steel pipes.

Main Results:

  • The MGB-SSR model predicts a positive skewed curve compared to SGB-SSR.
  • Model differences depend complexly on frequency, sample curvature, and transducer parameters.
  • MGB-SSR showed slightly better experimental fit for curved surfaces.

Conclusions:

  • The MGB-SSR model offers a more nuanced characterization of transducer beams in ultrasonic analysis.
  • Despite MGB's potential advantages, SGB remains sufficient for normal incidence pulse-echo measurements regarding grain size estimation accuracy.