Diffuse ultrasonic backscatter using a multi-Gaussian beam model

Xiongbing Li, Yongfeng Song, Andrea P. Arguelles, Joseph A. Turner

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Diffuse ultrasonic backscatter is widely used to evaluate microstructural parameters of heterogeneous materials. Recent singly scattered response (SSR) models utilize a single-Gaussian beam (SGB) assumption which is expected to have limitations. Following a similar formalism, a model is presented using a multi-Gaussian beam (MGB) assumption to characterize the transducer beam for longitudinal-to-longitudinal scattering at normal incidence through an interface with arbitrary curvature. First, the Wigner transform of the transducer field is defined using conjugate double-layer MGB expressions. The theoretical analysis shows that ten groups of Gaussian beams are sufficient for convergence. Compared with the SGB-SSR curve, the shape of MGB-SSR curve is positive skewed. Differences between the MGB-SSR model and the SGB-SSR model are quantified and shown to be complex functions of frequency, sample curvature, transducer parameters, and focal depth in the material. Finally, both models are used to fit experimental spatial variance data from a 304 stainless steel pipe with planar, convex, and concave surfaces. The results show that the MGB-SSR has some characteristics suggesting a better fit to the experiments. However, both models result in grain size estimates within the uncertainty of the optical microscopy suggesting that the SGB is sufficient for normal incidence pulse-echo measurements.

Original languageEnglish (US)
Pages (from-to)195-205
Number of pages11
JournalJournal of the Acoustical Society of America
Volume142
Issue number1
DOIs
StatePublished - Jul 1 2017

Fingerprint

ultrasonics
transducers
incidence
curvature
curves
stainless steels
echoes
grain size
formalism
microscopy
Curvature
estimates
pulses
scattering

All Science Journal Classification (ASJC) codes

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics

Cite this

Li, Xiongbing ; Song, Yongfeng ; Arguelles, Andrea P. ; Turner, Joseph A. / Diffuse ultrasonic backscatter using a multi-Gaussian beam model. In: Journal of the Acoustical Society of America. 2017 ; Vol. 142, No. 1. pp. 195-205.
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Diffuse ultrasonic backscatter using a multi-Gaussian beam model. / Li, Xiongbing; Song, Yongfeng; Arguelles, Andrea P.; Turner, Joseph A.

In: Journal of the Acoustical Society of America, Vol. 142, No. 1, 01.07.2017, p. 195-205.

Research output: Contribution to journalArticle

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