Extinction cross-section for elastic wave scattering in energy-absorbing media: revisited
A rigorous derivation of the extinction cross-section for elastic wave scattering by an object in an absorbing medium is given. It is necessary to readdress this problem because the assumption of a small detector made in our previous derivation, which essentially leads to the extinction cross-sectio...
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| Veröffentlicht in: | Acta mechanica 2009-10, Vol.207 (3-4), p.153-161 |
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| creator | Kim, Jin-Yeon Lee, Jun-Shin |
| description | A rigorous derivation of the extinction cross-section for elastic wave scattering by an object in an absorbing medium is given. It is necessary to readdress this problem because the assumption of a small detector made in our previous derivation, which essentially leads to the extinction cross-section that is valid strictly in the short wavelength limit, is found to be unnecessary. The detector is now assumed to be infinitely large. This assumption endows the extinction cross-section with a physical meaning that it is a property of the scatterer, independent of the nature of the detector, and is valid in the entire frequency range. Using an integral representation for scattered wave fields instead of using the wave functions for a specific dimension, two- and three-dimensional scattering problems are treated in a unified way. Numerical results are given to demonstrate why the exact extinction cross-section should be used. Applications of the present result to the analysis of wave propagation in inhomogeneous materials are also discussed. |
| doi_str_mv | 10.1007/s00707-008-0113-8 |
| format | Article |
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It is necessary to readdress this problem because the assumption of a small detector made in our previous derivation, which essentially leads to the extinction cross-section that is valid strictly in the short wavelength limit, is found to be unnecessary. The detector is now assumed to be infinitely large. This assumption endows the extinction cross-section with a physical meaning that it is a property of the scatterer, independent of the nature of the detector, and is valid in the entire frequency range. Using an integral representation for scattered wave fields instead of using the wave functions for a specific dimension, two- and three-dimensional scattering problems are treated in a unified way. Numerical results are given to demonstrate why the exact extinction cross-section should be used. Applications of the present result to the analysis of wave propagation in inhomogeneous materials are also discussed.</description><subject>Classical and Continuum Physics</subject><subject>Control</subject><subject>Dynamical Systems</subject><subject>Elasticity</subject><subject>Engineering</subject><subject>Engineering Thermodynamics</subject><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Heat and Mass Transfer</subject><subject>Mathematics</subject><subject>Mechanical engineering</subject><subject>Physics</subject><subject>Scattering</subject><subject>Solid Mechanics</subject><subject>Structural and continuum mechanics</subject><subject>Theoretical and Applied Mechanics</subject><subject>Vibration</subject><subject>Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</subject><subject>Waveform analysis</subject><issn>0001-5970</issn><issn>1619-6937</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNp1kE1LxDAQhoMouK7-AG9F0Ft0pk2b1pvI-gELXvTgKSTpdMnSbdeku7r_3taKguAcMkx452F4GDtFuEQAeRX6ByQHyDkgJjzfYxPMsOBZkch9NgEA5Gkh4ZAdhbDsp1gKnLDX2UfnGtu5tomsb0Pggcapan1EtQ6ds9G73lIUrO468q5ZRK6JqCG_2HFtQuvN8Lei0unryNPWBddRecwOKl0HOvnuU_ZyN3u-feDzp_vH25s5t4nMOq6zSgsyldRFrmOr0YDB1FSlkZhRX4BSSoMxlAJNUVoknUGemTS1QqQymbKLkbv27duGQqdWLliqa91QuwkqEYXIIYc-ePYnuGw3vulvU3GcZCggGWg4hr5keKrU2ruV9juFoAbTajStetNqMK3yfuf8G6x7R3XldWNd-FmMsRCxyAd2PObCerBI_veA_-GflpCO4g</recordid><startdate>20091001</startdate><enddate>20091001</enddate><creator>Kim, Jin-Yeon</creator><creator>Lee, Jun-Shin</creator><general>Springer Vienna</general><general>Springer</general><general>Springer Nature B.V</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7TB</scope><scope>7XB</scope><scope>88I</scope><scope>8AO</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>8G5</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>HCIFZ</scope><scope>KR7</scope><scope>L6V</scope><scope>M2O</scope><scope>M2P</scope><scope>M7S</scope><scope>MBDVC</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>Q9U</scope><scope>S0W</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20091001</creationdate><title>Extinction cross-section for elastic wave scattering in energy-absorbing media: revisited</title><author>Kim, Jin-Yeon ; Lee, Jun-Shin</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c376t-a6fa4ebf7a98a2ca1b0b15bfdb716eeee01777b120d41b9dc1ea6086b55c44573</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Classical and Continuum Physics</topic><topic>Control</topic><topic>Dynamical Systems</topic><topic>Elasticity</topic><topic>Engineering</topic><topic>Engineering Thermodynamics</topic><topic>Exact sciences and technology</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Heat and Mass Transfer</topic><topic>Mathematics</topic><topic>Mechanical engineering</topic><topic>Physics</topic><topic>Scattering</topic><topic>Solid Mechanics</topic><topic>Structural and continuum mechanics</topic><topic>Theoretical and Applied Mechanics</topic><topic>Vibration</topic><topic>Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</topic><topic>Waveform analysis</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kim, Jin-Yeon</creatorcontrib><creatorcontrib>Lee, Jun-Shin</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Science Database (Alumni Edition)</collection><collection>ProQuest Pharma Collection</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Research Library (Alumni Edition)</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>Engineering Research Database</collection><collection>ProQuest Central Student</collection><collection>Research Library Prep</collection><collection>SciTech Premium Collection</collection><collection>Civil Engineering Abstracts</collection><collection>ProQuest Engineering Collection</collection><collection>Research Library</collection><collection>Science Database</collection><collection>Engineering Database</collection><collection>Research Library (Corporate)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>ProQuest Central Basic</collection><collection>DELNET Engineering & Technology Collection</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Acta mechanica</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kim, Jin-Yeon</au><au>Lee, Jun-Shin</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Extinction cross-section for elastic wave scattering in energy-absorbing media: revisited</atitle><jtitle>Acta mechanica</jtitle><stitle>Acta Mech</stitle><date>2009-10-01</date><risdate>2009</risdate><volume>207</volume><issue>3-4</issue><spage>153</spage><epage>161</epage><pages>153-161</pages><issn>0001-5970</issn><eissn>1619-6937</eissn><coden>AMHCAP</coden><abstract>A rigorous derivation of the extinction cross-section for elastic wave scattering by an object in an absorbing medium is given. It is necessary to readdress this problem because the assumption of a small detector made in our previous derivation, which essentially leads to the extinction cross-section that is valid strictly in the short wavelength limit, is found to be unnecessary. The detector is now assumed to be infinitely large. This assumption endows the extinction cross-section with a physical meaning that it is a property of the scatterer, independent of the nature of the detector, and is valid in the entire frequency range. Using an integral representation for scattered wave fields instead of using the wave functions for a specific dimension, two- and three-dimensional scattering problems are treated in a unified way. Numerical results are given to demonstrate why the exact extinction cross-section should be used. Applications of the present result to the analysis of wave propagation in inhomogeneous materials are also discussed.</abstract><cop>Vienna</cop><pub>Springer Vienna</pub><doi>10.1007/s00707-008-0113-8</doi><tpages>9</tpages></addata></record> |
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| subjects | Classical and Continuum Physics Control Dynamical Systems Elasticity Engineering Engineering Thermodynamics Exact sciences and technology Fundamental areas of phenomenology (including applications) Heat and Mass Transfer Mathematics Mechanical engineering Physics Scattering Solid Mechanics Structural and continuum mechanics Theoretical and Applied Mechanics Vibration Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) Waveform analysis |
| title | Extinction cross-section for elastic wave scattering in energy-absorbing media: revisited |
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