On the Inverse Elastic Scattering by Interfaces Using One Type of Scattered Waves
We deal with the problem of the linearized and isotropic elastic inverse scattering by interfaces. We prove that the scattered p -parts or s -parts of the far field pattern, corresponding to all the incident plane waves of pressure or shear types, uniquely determine the obstacle geometry for both th...
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| Veröffentlicht in: | Journal of elasticity 2015-01, Vol.118 (1), p.15-38 |
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| container_title | Journal of elasticity |
| container_volume | 118 |
| creator | Kar, Manas Sini, Mourad |
| description | We deal with the problem of the linearized and isotropic elastic inverse scattering by interfaces. We prove that the scattered
p
-parts or
s
-parts of the far field pattern, corresponding to all the incident plane waves of pressure or shear types, uniquely determine the obstacle geometry for both the penetrable and impenetrable obstacles. In addition, we state a reconstruction procedure. In the analysis, we assume only the Lipschitz regularity of the interfaces and, for the penetrable case, the Lamé coefficients to be measurable and bounded, inside the obstacles, with the usual jumps across these interfaces. |
| doi_str_mv | 10.1007/s10659-014-9474-5 |
| format | Article |
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p
-parts or
s
-parts of the far field pattern, corresponding to all the incident plane waves of pressure or shear types, uniquely determine the obstacle geometry for both the penetrable and impenetrable obstacles. In addition, we state a reconstruction procedure. In the analysis, we assume only the Lipschitz regularity of the interfaces and, for the penetrable case, the Lamé coefficients to be measurable and bounded, inside the obstacles, with the usual jumps across these interfaces.</description><identifier>ISSN: 0374-3535</identifier><identifier>EISSN: 1573-2681</identifier><identifier>DOI: 10.1007/s10659-014-9474-5</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Automotive Engineering ; Classical Mechanics ; Elastic scattering ; Elasticity ; Far fields ; Inverse ; Obstacles ; Physics ; Physics and Astronomy ; Plane waves ; Reconstruction ; Regularity</subject><ispartof>Journal of elasticity, 2015-01, Vol.118 (1), p.15-38</ispartof><rights>Springer Science+Business Media Dordrecht 2014</rights><rights>Springer Science+Business Media Dordrecht 2015</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c462t-de321363f1fc898f6d125a7df2f0e78207c43d4af4636da4e65c7fe5751b960d3</citedby><cites>FETCH-LOGICAL-c462t-de321363f1fc898f6d125a7df2f0e78207c43d4af4636da4e65c7fe5751b960d3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10659-014-9474-5$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10659-014-9474-5$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Kar, Manas</creatorcontrib><creatorcontrib>Sini, Mourad</creatorcontrib><title>On the Inverse Elastic Scattering by Interfaces Using One Type of Scattered Waves</title><title>Journal of elasticity</title><addtitle>J Elast</addtitle><description>We deal with the problem of the linearized and isotropic elastic inverse scattering by interfaces. We prove that the scattered
p
-parts or
s
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p
-parts or
s
-parts of the far field pattern, corresponding to all the incident plane waves of pressure or shear types, uniquely determine the obstacle geometry for both the penetrable and impenetrable obstacles. In addition, we state a reconstruction procedure. In the analysis, we assume only the Lipschitz regularity of the interfaces and, for the penetrable case, the Lamé coefficients to be measurable and bounded, inside the obstacles, with the usual jumps across these interfaces.</abstract><cop>Dordrecht</cop><pub>Springer Netherlands</pub><doi>10.1007/s10659-014-9474-5</doi><tpages>24</tpages><oa>free_for_read</oa></addata></record> |
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| ispartof | Journal of elasticity, 2015-01, Vol.118 (1), p.15-38 |
| issn | 0374-3535 1573-2681 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_1660081571 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Automotive Engineering Classical Mechanics Elastic scattering Elasticity Far fields Inverse Obstacles Physics Physics and Astronomy Plane waves Reconstruction Regularity |
| title | On the Inverse Elastic Scattering by Interfaces Using One Type of Scattered Waves |
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