University of Illinois Urbana-Champaign

Radiative transfer of ultrasound

Turner, Joseph A.; Weaver, Richard L.

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https://hdl.handle.net/2142/112414

Description

Title
Radiative transfer of ultrasound
Author(s)
  • Turner, Joseph A.
  • Weaver, Richard L.
Issue Date
1993-09
Keyword(s)
  • Radiative Transfer
  • Ultrasound
Abstract
A radiative transfer equation is used to model the diffuse multiple scattering of ultrasound in a medium containing discrete random scatterers. An assumption of uncorrelated phases allows one to write an equation of energy balance for the diffuse intensity. This ultrasonic radiative transfer equation contains single-scattering and propagation parameters that are calculated using the elastic wave equation. Polarization effects are included through the introduction of an elastodynamic Stokes vector which contains a longitudinal Stokes parameter and four shear Stokes paramters similar to the four Stokes paramters used in optical radiative transfer theory. The theory is applied to a statistically homogeneous, isotropic elastic half space containing randomly distributed spherical voids illuminated by a harmonic plane wave. Results on the angular dependence of backscattered intensity are presented. It is anticipated that this approach may be applicable to materials characterization through the study of the time, space, ultrasonic frequency, and angular dependence of diffusely scattered ultrasound in elastic media with microstructure.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 725
  • 1993-6023
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112414
Sponsor(s)/Grant Number(s)
National Science Foundation 93/09
Copyright and License Information
Copyright 1993 Board of Trustees of the University of Illinois

Owning Collections

Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.