Stability for the Electromagnetic Scattering from Large Cavities
Consider the scattering of electromagnetic waves from a large rectangular cavity embedded in the infinite ground plane. There are two fundamental polarizations for the scattering problem in two dimensions: TM (transverse magnetic) and TE (transverse electric). In this paper, new stability results fo...
Gespeichert in:
| Veröffentlicht in: | Archive for rational mechanics and analysis 2016-06, Vol.220 (3), p.1003-1044 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 1044 |
|---|---|
| container_issue | 3 |
| container_start_page | 1003 |
| container_title | Archive for rational mechanics and analysis |
| container_volume | 220 |
| creator | Bao, Gang Yun, KiHyun |
| description | Consider the scattering of electromagnetic waves from a large rectangular cavity embedded in the infinite ground plane. There are two fundamental polarizations for the scattering problem in two dimensions: TM (transverse magnetic) and TE (transverse electric). In this paper, new stability results for the cavity problems are established for large rectangular shape cavities in both polarizations. For the TM cavity problem, an asymptotic property of the solution and a stability estimate with an improved dependence on the high wavenumber are derived. In the TE case, the first stability result is established with an explicit dependence on the wave number. |
| doi_str_mv | 10.1007/s00205-015-0947-x |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_1835609542</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1835609542</sourcerecordid><originalsourceid>FETCH-LOGICAL-c349t-1aa3faf118e31d12e9f7d09ffe9ce86b212d8f48128f8eedc40d3e734c077e8f3</originalsourceid><addsrcrecordid>eNp1kE1LAzEQhoMoWKs_wNuCFy-rk4_dZG9KqR9Q8FA9hzQ7qSnb3ZqkYv-9u6wgCB6GYYb3fWd4CLmkcEMB5G0EYFDkQPuqhMy_jsiECs5yKCU_JhMA4HlVMHlKzmLcDCPj5YTcLZNZ-canQ-a6kKV3zOYN2hS6rVm3mLzNltakhMG368z162xhwhqzmfn0yWM8JyfONBEvfvqUvD3MX2dP-eLl8Xl2v8gtF1XKqTHcGUepQk5ryrBysobKOawsqnLFKKuVE4oy5RRibQXUHCUXFqRE5fiUXI-5u9B97DEmvfXRYtOYFrt91FTxooSqEKyXXv2Rbrp9aPvvNINSSOiPqV5FR5UNXYwBnd4FvzXhoCnogakemeqeqR6Y6q_ew0ZP3A08MPwm_2_6Bl00eZU</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2064702128</pqid></control><display><type>article</type><title>Stability for the Electromagnetic Scattering from Large Cavities</title><source>SpringerNature Journals</source><creator>Bao, Gang ; Yun, KiHyun</creator><creatorcontrib>Bao, Gang ; Yun, KiHyun</creatorcontrib><description>Consider the scattering of electromagnetic waves from a large rectangular cavity embedded in the infinite ground plane. There are two fundamental polarizations for the scattering problem in two dimensions: TM (transverse magnetic) and TE (transverse electric). In this paper, new stability results for the cavity problems are established for large rectangular shape cavities in both polarizations. For the TM cavity problem, an asymptotic property of the solution and a stability estimate with an improved dependence on the high wavenumber are derived. In the TE case, the first stability result is established with an explicit dependence on the wave number.</description><identifier>ISSN: 0003-9527</identifier><identifier>EISSN: 1432-0673</identifier><identifier>DOI: 10.1007/s00205-015-0947-x</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Asymptotic properties ; Classical Mechanics ; Complex Systems ; Dependence ; Electromagnetic radiation ; Electromagnetic scattering ; Electromagnetic waves ; Estimates ; Fluid- and Aerodynamics ; Ground plane ; Holes ; Mathematical and Computational Physics ; Physics ; Physics and Astronomy ; Polarization ; Scattering ; Stability ; Theoretical ; Wavelengths</subject><ispartof>Archive for rational mechanics and analysis, 2016-06, Vol.220 (3), p.1003-1044</ispartof><rights>Springer-Verlag Berlin Heidelberg 2015</rights><rights>Copyright Springer Science & Business Media 2016</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c349t-1aa3faf118e31d12e9f7d09ffe9ce86b212d8f48128f8eedc40d3e734c077e8f3</citedby><cites>FETCH-LOGICAL-c349t-1aa3faf118e31d12e9f7d09ffe9ce86b212d8f48128f8eedc40d3e734c077e8f3</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/s00205-015-0947-x$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00205-015-0947-x$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Bao, Gang</creatorcontrib><creatorcontrib>Yun, KiHyun</creatorcontrib><title>Stability for the Electromagnetic Scattering from Large Cavities</title><title>Archive for rational mechanics and analysis</title><addtitle>Arch Rational Mech Anal</addtitle><description>Consider the scattering of electromagnetic waves from a large rectangular cavity embedded in the infinite ground plane. There are two fundamental polarizations for the scattering problem in two dimensions: TM (transverse magnetic) and TE (transverse electric). In this paper, new stability results for the cavity problems are established for large rectangular shape cavities in both polarizations. For the TM cavity problem, an asymptotic property of the solution and a stability estimate with an improved dependence on the high wavenumber are derived. In the TE case, the first stability result is established with an explicit dependence on the wave number.</description><subject>Asymptotic properties</subject><subject>Classical Mechanics</subject><subject>Complex Systems</subject><subject>Dependence</subject><subject>Electromagnetic radiation</subject><subject>Electromagnetic scattering</subject><subject>Electromagnetic waves</subject><subject>Estimates</subject><subject>Fluid- and Aerodynamics</subject><subject>Ground plane</subject><subject>Holes</subject><subject>Mathematical and Computational Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Polarization</subject><subject>Scattering</subject><subject>Stability</subject><subject>Theoretical</subject><subject>Wavelengths</subject><issn>0003-9527</issn><issn>1432-0673</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNp1kE1LAzEQhoMoWKs_wNuCFy-rk4_dZG9KqR9Q8FA9hzQ7qSnb3ZqkYv-9u6wgCB6GYYb3fWd4CLmkcEMB5G0EYFDkQPuqhMy_jsiECs5yKCU_JhMA4HlVMHlKzmLcDCPj5YTcLZNZ-canQ-a6kKV3zOYN2hS6rVm3mLzNltakhMG368z162xhwhqzmfn0yWM8JyfONBEvfvqUvD3MX2dP-eLl8Xl2v8gtF1XKqTHcGUepQk5ryrBysobKOawsqnLFKKuVE4oy5RRibQXUHCUXFqRE5fiUXI-5u9B97DEmvfXRYtOYFrt91FTxooSqEKyXXv2Rbrp9aPvvNINSSOiPqV5FR5UNXYwBnd4FvzXhoCnogakemeqeqR6Y6q_ew0ZP3A08MPwm_2_6Bl00eZU</recordid><startdate>20160601</startdate><enddate>20160601</enddate><creator>Bao, Gang</creator><creator>Yun, KiHyun</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20160601</creationdate><title>Stability for the Electromagnetic Scattering from Large Cavities</title><author>Bao, Gang ; Yun, KiHyun</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c349t-1aa3faf118e31d12e9f7d09ffe9ce86b212d8f48128f8eedc40d3e734c077e8f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>Asymptotic properties</topic><topic>Classical Mechanics</topic><topic>Complex Systems</topic><topic>Dependence</topic><topic>Electromagnetic radiation</topic><topic>Electromagnetic scattering</topic><topic>Electromagnetic waves</topic><topic>Estimates</topic><topic>Fluid- and Aerodynamics</topic><topic>Ground plane</topic><topic>Holes</topic><topic>Mathematical and Computational Physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Polarization</topic><topic>Scattering</topic><topic>Stability</topic><topic>Theoretical</topic><topic>Wavelengths</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bao, Gang</creatorcontrib><creatorcontrib>Yun, KiHyun</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Archive for rational mechanics and analysis</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bao, Gang</au><au>Yun, KiHyun</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Stability for the Electromagnetic Scattering from Large Cavities</atitle><jtitle>Archive for rational mechanics and analysis</jtitle><stitle>Arch Rational Mech Anal</stitle><date>2016-06-01</date><risdate>2016</risdate><volume>220</volume><issue>3</issue><spage>1003</spage><epage>1044</epage><pages>1003-1044</pages><issn>0003-9527</issn><eissn>1432-0673</eissn><abstract>Consider the scattering of electromagnetic waves from a large rectangular cavity embedded in the infinite ground plane. There are two fundamental polarizations for the scattering problem in two dimensions: TM (transverse magnetic) and TE (transverse electric). In this paper, new stability results for the cavity problems are established for large rectangular shape cavities in both polarizations. For the TM cavity problem, an asymptotic property of the solution and a stability estimate with an improved dependence on the high wavenumber are derived. In the TE case, the first stability result is established with an explicit dependence on the wave number.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/s00205-015-0947-x</doi><tpages>42</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0003-9527 |
| ispartof | Archive for rational mechanics and analysis, 2016-06, Vol.220 (3), p.1003-1044 |
| issn | 0003-9527 1432-0673 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_1835609542 |
| source | SpringerNature Journals |
| subjects | Asymptotic properties Classical Mechanics Complex Systems Dependence Electromagnetic radiation Electromagnetic scattering Electromagnetic waves Estimates Fluid- and Aerodynamics Ground plane Holes Mathematical and Computational Physics Physics Physics and Astronomy Polarization Scattering Stability Theoretical Wavelengths |
| title | Stability for the Electromagnetic Scattering from Large Cavities |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-26T06%3A55%3A50IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Stability%20for%20the%20Electromagnetic%20Scattering%20from%20Large%20Cavities&rft.jtitle=Archive%20for%20rational%20mechanics%20and%20analysis&rft.au=Bao,%20Gang&rft.date=2016-06-01&rft.volume=220&rft.issue=3&rft.spage=1003&rft.epage=1044&rft.pages=1003-1044&rft.issn=0003-9527&rft.eissn=1432-0673&rft_id=info:doi/10.1007/s00205-015-0947-x&rft_dat=%3Cproquest_cross%3E1835609542%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2064702128&rft_id=info:pmid/&rfr_iscdi=true |