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Effective waves for random three-dimensional particulate materials

Gower, Artur LU and Kristensson, Gerhard LU (2021) In New Journal of Physics 23(6).
Abstract
How do you take a reliable measurement of a material whose microstructure is random? When using wave scattering, the answer is often to take an ensemble average (average over time or space). By ensemble averaging we can calculate the average scattered wave and the effective wavenumber. To date, the literature has focused on calculating the effective wavenumber for a plate filled with particles. One clear unanswered question was how to extend this approach to a material of any geometry and for any source. For example, does the effective wavenumber depend on only the microstructure, or also on the material geometry? In this work, we demonstrate that the effective wavenumbers depend on only microstructure, though beyond the long wavelength... (More)
How do you take a reliable measurement of a material whose microstructure is random? When using wave scattering, the answer is often to take an ensemble average (average over time or space). By ensemble averaging we can calculate the average scattered wave and the effective wavenumber. To date, the literature has focused on calculating the effective wavenumber for a plate filled with particles. One clear unanswered question was how to extend this approach to a material of any geometry and for any source. For example, does the effective wavenumber depend on only the microstructure, or also on the material geometry? In this work, we demonstrate that the effective wavenumbers depend on only microstructure, though beyond the long wavelength limit there are multiple effective wavenumbers for one fixed incident frequency. We show how to calculate the average wave scattered from a random particulate material of any shape, and for broad frequency ranges. As an example, we show how to calculate the average wave scattered from a sphere filled with particles. (Less)
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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
New Journal of Physics
volume
23
issue
6
publisher
IOP Publishing
external identifiers
  • scopus:85109931324
ISSN
1367-2630
DOI
10.1088/1367-2630/abdfee
language
English
LU publication?
yes
id
2c990169-d60c-4b51-977b-9bf255526f6b
date added to LUP
2021-01-27 09:26:51
date last changed
2022-04-26 23:56:05
@article{2c990169-d60c-4b51-977b-9bf255526f6b,
  abstract     = {{How do you take a reliable measurement of a material whose microstructure is random? When using wave scattering, the answer is often to take an ensemble average (average over time or space). By ensemble averaging we can calculate the average scattered wave and the effective wavenumber. To date, the literature has focused on calculating the effective wavenumber for a plate filled with particles. One clear unanswered question was how to extend this approach to a material of any geometry and for any source. For example, does the effective wavenumber depend on only the microstructure, or also on the material geometry? In this work, we demonstrate that the effective wavenumbers depend on only microstructure, though beyond the long wavelength limit there are multiple effective wavenumbers for one fixed incident frequency. We show how to calculate the average wave scattered from a random particulate material of any shape, and for broad frequency ranges. As an example, we show how to calculate the average wave scattered from a sphere filled with particles.}},
  author       = {{Gower, Artur and Kristensson, Gerhard}},
  issn         = {{1367-2630}},
  language     = {{eng}},
  number       = {{6}},
  publisher    = {{IOP Publishing}},
  series       = {{New Journal of Physics}},
  title        = {{Effective waves for random three-dimensional particulate materials}},
  url          = {{http://dx.doi.org/10.1088/1367-2630/abdfee}},
  doi          = {{10.1088/1367-2630/abdfee}},
  volume       = {{23}},
  year         = {{2021}},
}