A comparison of stochastic and effective medium approaches to the backscattered signal from a porous layer in a solid matrix.

Valerie J Pinfield, Richard E Challis, Robert A Smith

Research output: Contribution to journalArticle (Academic Journal)peer-review

10 Citations (Scopus)

Abstract

This paper reports a study of the backscattering behavior of a solid layer containing randomly spaced spherical cavities in the long wavelength limit. The motivation for the work arises from a need to model the responses of porous composite materials in ultrasonic NDE procedures. A comparison is made between models based on a summation over discrete scatterers, which show interesting emergent properties, and an integral formulation based on an ensemble average, and with a simple slab effective medium approximation. The similarities and differences between these three models are demonstrated. A simple quantitative criterion is established which sets the maximum frequency at which ensemble average or equivalent homogeneous medium models can represent echo signal generation in a porous layer for given interpore spacing, or equivalently, given pore size and concentration.
Original languageEnglish
Pages (from-to)122-134
JournalJournal of the Acoustical Society of America
Volume130
Issue number1
DOIs
Publication statusPublished - 2011

Fingerprint Dive into the research topics of 'A comparison of stochastic and effective medium approaches to the backscattered signal from a porous layer in a solid matrix.'. Together they form a unique fingerprint.

Cite this