Transverse-to-transverse diffuse ultrasonic double scattering

Yuantian Huang; Joseph A Turner; Yongfeng Song; Xiongbing Li

doi:10.1016/j.ultras.2020.106301

Transverse-to-transverse diffuse ultrasonic double scattering

Ultrasonics. 2021 Mar:111:106301. doi: 10.1016/j.ultras.2020.106301. Epub 2020 Nov 19.

Authors

Yuantian Huang¹, Joseph A Turner², Yongfeng Song³, Xiongbing Li⁴

Affiliations

¹ School of Traffic and Transportation Engineering, Central South University, Changsha, Hunan 410075, China; Zhuzhou Times New Material Technology Co., Ltd., Zhuzhou, Hunan 412007, China.
² Mechanical and Materials Engineering, University of Nebraska-Lincoln, Lincoln, NE 68588, USA.
³ School of Traffic and Transportation Engineering, Central South University, Changsha, Hunan 410075, China.
⁴ School of Traffic and Transportation Engineering, Central South University, Changsha, Hunan 410075, China; Key Laboratory of Traffic Safety on Track (Central South University), Ministry of Education, Changsha, Hunan 410075, China. Electronic address: lixb213@csu.edu.cn.

PMID: 33316642
DOI: 10.1016/j.ultras.2020.106301

Abstract

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.

Keywords: GPU acceleration; Quasi-Monte Carlo; Strongly scattering material; Transverse-to-transverse (T-T) double scattering.