dorsal/arxiv
View SchemaReconstruction of the three mechanical material constants of a lossy fluid-like cylinder from low-frequency scattered acoustic fields
| Authors | Thierry Scotti, Armand Wirgin |
|---|---|
| Categories | |
| ArXiv ID | physics/0311076 |
| URL | https://arxiv.org/abs/physics/0311076 |
| DOI | 10.1016/j.crme.2004.03.018 |
Abstract
The inverse medium problem for a circular cylindrical domain is studied using low-frequency acoustic waves as the probe radiation. It is shown that to second order in $k_{0}a$ ($k_{0}$ the wavenumber in the host medium, $a$ the radius of the cylinder), only the first three terms (i.e., of orders 0, -1 and +1) in the partial wave representation of the scattered field are non-vanishing, and the material parameters enter into these terms in explicit manner. Moreover, the zeroth-order term contains only two of the unknown material constants (i.e., the real and imaginary parts of complex compressibility of the cylinder $\kappa_{1}$) whereas the $\pm 1$ order terms contain the other material constant (i.e., the density of the cylinder $\rho_{1}$). A method, relying on the knowledge of the totality of the far-zone scattered field and resulting in explicit expressions for $\rho_{1}$ and $\kappa_{1}$, is devised and shown to give highly-accurate estimates of these quantities even for frequencies such that $k_{0}a$ is as large as 0.1.
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"abstract": "The inverse medium problem for a circular cylindrical domain is studied using\nlow-frequency acoustic waves as the probe radiation. It is shown that to second\norder in $k_{0}a$ ($k_{0}$ the wavenumber in the host medium, $a$ the radius of\nthe cylinder), only the first three terms (i.e., of orders 0, -1 and +1) in the\npartial wave representation of the scattered field are non-vanishing, and the\nmaterial parameters enter into these terms in explicit manner. Moreover, the\nzeroth-order term contains only two of the unknown material constants (i.e.,\nthe real and imaginary parts of complex compressibility of the cylinder\n$\\kappa_{1}$) whereas the $\\pm 1$ order terms contain the other material\nconstant (i.e., the density of the cylinder $\\rho_{1}$). A method, relying on\nthe knowledge of the totality of the far-zone scattered field and resulting in\nexplicit expressions for $\\rho_{1}$ and $\\kappa_{1}$, is devised and shown to\ngive highly-accurate estimates of these quantities even for frequencies such\nthat $k_{0}a$ is as large as 0.1.",
"arxiv_id": "physics/0311076",
"authors": [
"Thierry Scotti",
"Armand Wirgin"
],
"categories": [
"physics.class-ph"
],
"doi": "10.1016/j.crme.2004.03.018",
"title": "Reconstruction of the three mechanical material constants of a lossy fluid-like cylinder from low-frequency scattered acoustic fields",
"url": "https://arxiv.org/abs/physics/0311076"
},
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