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Far-field scattering model for wave propagation in random media.

S I Rokhlin1, J Li1, G Sha1

  • 1Department of Materials Science and Engineering, Edison Joining Technology Center, The Ohio State University, 1248 Arthur E. Adams Drive, Columbus, Ohio 43221, USA.

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|May 22, 2015
PubMed
Summary

A new approximate model simplifies ultrasonic wave propagation analysis in random elastic media. This model accurately captures multiple scattering effects across all frequencies, improving upon existing methods.

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Area of Science:

  • Materials Science
  • Acoustics
  • Solid Mechanics

Background:

  • Ultrasonic wave propagation in random elastic media is complex.
  • Existing models often struggle with multiple scattering and broad frequency ranges.

Purpose of the Study:

  • Develop a simplified approximate model for ultrasonic wave propagation.
  • Incorporate second-order multiple scattering effects.
  • Ensure applicability across all frequencies.

Main Methods:

  • Utilized the far-field approximation of the reference medium Green's function.
  • Simplified the mass operator beyond the first smooth approximation.
  • Derived a dispersion equation for the perturbed wave number.

Main Results:

  • Obtained dispersive ultrasonic velocity and attenuation coefficients.
  • The model is general, suitable for non-equiaxed grains with arbitrary elastic symmetry.
  • Demonstrated reduced error compared to the Born approximation and captured multiple scattering onset.

Conclusions:

  • The developed model offers a more accurate and versatile approach to ultrasonic wave propagation analysis.
  • It provides insights into multiple scattering and the limitations of simpler approximations.
  • The model's structure facilitates inversion from attenuation to material microstructure.