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pro vyhledávání: '"Abrahams, Ian"'
Effective medium theory aims to describe a complex inhomogeneous material in terms of a few important macroscopic parameters. To characterise wave propagation through an inhomogeneous material, the most crucial parameter is the effective wavenumber.
Externí odkaz:
http://arxiv.org/abs/1905.06996
For over 70 years it has been assumed that scalar wave propagation in (ensemble-averaged) random particulate materials can be characterised by a single effective wavenumber. Here, however, we show that there exist many effective wavenumbers, each con
Externí odkaz:
http://arxiv.org/abs/1810.10816
We formally deduce closed-form expressions for the transmitted effective wavenumber of a material comprising multiple types of inclusions or particles (multi-species), dispersed in a uniform background medium. The expressions, derived here for the fi
Externí odkaz:
http://arxiv.org/abs/1712.05427
Publikováno v:
Research in Science & Technological Education; Sep2024, Vol. 42 Issue 3, p784-811, 28p
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Akademický článek
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Autor:
Smith, Michael, Abrahams, Ian
We present a novel multipole formulation for computing the band structures of two-dimensional arrays of cylindrical Helmholtz resonators. This formulation is derived by combining existing multipole methods for arrays of ideal cylinders with the metho
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4977d02e23c0c97dea79e5e20a743bba
https://www.repository.cam.ac.uk/handle/1810/338463
https://www.repository.cam.ac.uk/handle/1810/338463
Autor:
Smith, Michael, Abrahams, Ian
We present a solution method which combines the technique of matched asymptotic expansions with the method of multipole expansions to determine the band structure of cylindrical Helmholtz resonator arrays in two dimensions. The resonator geometry is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::566429a301d54e023940d8ba8fae93c5
https://www.repository.cam.ac.uk/handle/1810/338491
https://www.repository.cam.ac.uk/handle/1810/338491