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Reflection and transmission at low concentration by a depth-varying random distribution of cylinders in a fluid slab-like region

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.
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https://hal.sorbonne-universite.fr/hal-01587124
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Submitted on : Wednesday, September 13, 2017 - 4:42:23 PM
Last modification on : Wednesday, October 14, 2020 - 4:13:29 AM

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J.M. Conoir, S. Robert, A. El Mouhtadi, F. Luppé. Reflection and transmission at low concentration by a depth-varying random distribution of cylinders in a fluid slab-like region. Wave Motion, Elsevier, 2011, 130, pp.122. ⟨10.1016/j.wavemoti.2009.06.015⟩. ⟨hal-01587124⟩

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