Transverse-to-transverse diffuse ultrasonic double scattering

Yuantian Huang, Joseph A. Turner, Yongfeng Song, Xiongbing Li

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Previously, a transverse-to-transverse single scattering model (T-T SSR) was developed for a pulse echo configuration, which may have limitations for strongly scattering materials. In this work, a transverse-to-transverse double scattering model (T-T DSR) is presented to model the transverse ultrasonic backscatter more accurately. First, the Wigner distribution of the transducer beam pattern is extended to a transverse wave. Next, the multiple scattering framework is followed to derive the transverse and longitudinal components of the second-order scattering. Then, a quasi-Monte Carlo (QMC) method is used with Graphics Processing Unit (GPU) acceleration to calculate numerical results of the final expression which contains a five-dimensional integral. The correlation length, the focal length of the transducer, and incident angle are used to investigate differences between the T-T DSR model and the T-T SSR model. Finally, a backscatter experiment is performed on two stainless steel specimens with different grain sizes to determine the respective correlation lengths. The results show that the T-T DSR model has better performance over the T-T SSR model for evaluating the grain size of these relatively strongly-scattering specimens.

Original languageEnglish (US)
Article number106301
StatePublished - Mar 2021


  • GPU acceleration
  • Quasi-Monte Carlo
  • Strongly scattering material
  • Transverse-to-transverse (T-T) double scattering

ASJC Scopus subject areas

  • Acoustics and Ultrasonics


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