Radiative transfer and multiple scattering of diffuse ultrasound in polycrystalline media

Joseph A Turner, Richard L. Weaver

Research output: Contribution to journalArticle

63 Citations (Scopus)

Abstract

A model is presented for the multiply scattered incoherent field in a continuous polycrystalline elastic medium. Unlike a previous development based upon energy conservation considerations [J. A. Turner and R. L. Weaver, J. Acoust. Soc. Am. 93, 2312 (A) (1993)] for a medium containing discrete random scatterers, the present model has been developed from the wave equation and first principles. Appropriate ensemble averaging of the wave equation leads to Dyson and Bethe-Salpeter equations which govern the mean Green's function and the covariance of the Green's function, respectively. These equations are expanded for weak heterogeneity and equations of radiative transfer are obtained. The result is valid for attenuations that are small compared with a wave number: α/k<1. Polarization effects are included, as before, through five elastodynamic Stokes parameters, one longitudinal and four shear. The theory is applied to a statistically homogeneous and statistically isotropic half-space composed of cubic crystallites illuminated by a plane wave. Results for the angular dependence of backscattered intensity are presented. It is anticipated that this approach may be applicable to microstructural characterization through the study of the time, space, ultrasonic frequency, and angular dependence of multiply scattered ultrasound in elastic media.

Original languageEnglish (US)
Pages (from-to)3675-3683
Number of pages9
JournalJournal of the Acoustical Society of America
Volume96
Issue number6
DOIs
StatePublished - Jan 1 1994

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elastic media
radiative transfer
wave equations
Green's functions
elastodynamics
Bethe-Salpeter equation
energy conservation
half spaces
scattering
crystallites
plane waves
ultrasonics
attenuation
shear
polarization
Equations
Ultrasound
Waves

ASJC Scopus subject areas

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics

Cite this

Radiative transfer and multiple scattering of diffuse ultrasound in polycrystalline media. / Turner, Joseph A; Weaver, Richard L.

In: Journal of the Acoustical Society of America, Vol. 96, No. 6, 01.01.1994, p. 3675-3683.

Research output: Contribution to journalArticle

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