CORE
🇺🇦
make metadata, not war
Services
Services overview
Explore all CORE services
Access to raw data
API
Dataset
FastSync
Content discovery
Recommender
Discovery
OAI identifiers
OAI Resolver
Managing content
Dashboard
Bespoke contracts
Consultancy services
Support us
Support us
Membership
Sponsorship
Community governance
Advisory Board
Board of supporters
Research network
About
About us
Our mission
Team
Blog
FAQs
Contact us
Multiple waves propagate in random particulate materials
Authors
ID Abrahams
AL Gower
WJ Parnell
Publication date
1 January 2019
Publisher
SIAM Journal on Applied Mathematics
Doi
Cite
View
on
arXiv
Abstract
© 2019 Society for Industrial and Applied Mathematics Publications. All rights reserved. For over 70 years it has been assumed that scalar wave propagation in (ensembleaveraged) random particulate materials can be characterized by a single effective wavenumber. Here, however, we show that there exist many effective wavenumbers, each contributing to the effective transmitted wave field. Most of these contributions rapidly attenuate away from boundaries, but they make a significant contribution to the reflected and total transmitted field beyond the low-frequency regime. In some cases at least two effective wavenumbers have the same order of attenuation. In these cases a single effective wavenumber does not accurately describe wave propagation even far away from boundaries. We develop an efficient method to calculate all of the contributions to the wave field for the scalar wave equation in two spatial dimensions, and then compare results with numerical finite-difference calculations. This new method is, to the best of the authors' knowledge, the first of its kind to give such accurate predictions across a broad frequency range and for general particle volume fractions
Similar works
Full text
Open in the Core reader
Download PDF
Available Versions
Sustaining member
Apollo (Cambridge)
See this paper in CORE
Go to the repository landing page
Download from data provider
oai:www.repository.cam.ac.uk:1...
Last time updated on 05/02/2020
The University of Manchester - Institutional Repository
See this paper in CORE
Go to the repository landing page
Download from data provider
oai:pure.atira.dk:publications...
Last time updated on 04/09/2019
White Rose Research Online
See this paper in CORE
Go to the repository landing page
Download from data provider
oai:eprints.whiterose.ac.uk:14...
Last time updated on 18/06/2019