The wavelet response as a multiscale characterization of scattering processes at granular interfaces.

Abstract:

:We perform a multiscale analysis of the backscattering properties of a complex interface between water and a layer of randomly arranged glass beads with diameter D=1 mm. An acoustical experiment is done to record the wavelet response of the interface in a large frequency range from lambda/D=0.3 to lambda/D=15. The wavelet response is a physical analog of the mathematical wavelet transform which possesses nice properties to detect and characterize abrupt changes in signals. The experimental wavelet response allows to identify five frequency domains corresponding to different backscattering properties of the complex interface. This puts quantitative limits to the validity domains of the models used to represent the interface and which are flat elastic, flat visco-elastic, rough random half-space with multiple scattering, and rough elastic from long to short wavelengths respectively. A physical explanation based on Mie scattering theory is proposed to explain the origin of the five frequency domains identified in the wavelet response.

journal_name

Ultrasonics

journal_title

Ultrasonics

authors

Le Gonidec Y,Gibert D

doi

10.1016/j.ultras.2006.05.212

subject

Has Abstract

pub_date

2006-11-01 00:00:00

pages

381-90

issue

4

eissn

0041-624X

issn

1874-9968

pii

S0041-624X(06)00242-3

journal_volume

44

pub_type

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