Numerical computations on one-dimensional inverse scattering problems
In this note we present an approximate method to detemine the index of refraction of a dielectric obstacle. For simplicity we treat one-dimensional models of electromagnetic scattering. The governing equations yield a second-order boundary value problem, in which the index of refraction appears as a...
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| Veröffentlicht in: | Journal of computational physics 1984-07, Vol.55 (1), p.157-165 |
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| container_title | Journal of computational physics |
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| creator | Dunn, Mark H Hariharan, S.I |
| description | In this note we present an approximate method to detemine the index of refraction of a dielectric obstacle. For simplicity we treat one-dimensional models of electromagnetic scattering. The governing equations yield a second-order boundary value problem, in which the index of refraction appears as a functional parameter. The availability of reflection coefficients yields an additional initial condition. We approximate the index of refraction by a
kth-order spline which can be written as a linear combination of
B-splines. For
N/2 distinct reflection coefficients, the resulting
N/2 initial value problems yield a system of
N nonlinear equations in
N unknowns which are the coefficients of the
B-splines. |
| doi_str_mv | 10.1016/0021-9991(84)90021-4 |
| format | Article |
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kth-order spline which can be written as a linear combination of
B-splines. For
N/2 distinct reflection coefficients, the resulting
N/2 initial value problems yield a system of
N nonlinear equations in
N unknowns which are the coefficients of the
B-splines.</description><identifier>ISSN: 0021-9991</identifier><identifier>EISSN: 1090-2716</identifier><identifier>DOI: 10.1016/0021-9991(84)90021-4</identifier><language>eng</language><publisher>Legacy CDMS: Elsevier Inc</publisher><subject>Exact sciences and technology ; Fundamental areas of phenomenology (including applications) ; Numerical Analysis ; Optics ; Physics ; Wave optics ; Wave propagation, transmission and absorption</subject><ispartof>Journal of computational physics, 1984-07, Vol.55 (1), p.157-165</ispartof><rights>1984</rights><rights>1985 INIST-CNRS</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c382t-a1ac171ff716eca75b874dc0a1ec4b778a025a99b01b87cd4431f493265bb2463</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/0021999184900214$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3536,27903,27904,65309</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=9068782$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Dunn, Mark H</creatorcontrib><creatorcontrib>Hariharan, S.I</creatorcontrib><title>Numerical computations on one-dimensional inverse scattering problems</title><title>Journal of computational physics</title><description>In this note we present an approximate method to detemine the index of refraction of a dielectric obstacle. For simplicity we treat one-dimensional models of electromagnetic scattering. The governing equations yield a second-order boundary value problem, in which the index of refraction appears as a functional parameter. The availability of reflection coefficients yields an additional initial condition. We approximate the index of refraction by a
kth-order spline which can be written as a linear combination of
B-splines. For
N/2 distinct reflection coefficients, the resulting
N/2 initial value problems yield a system of
N nonlinear equations in
N unknowns which are the coefficients of the
B-splines.</description><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Numerical Analysis</subject><subject>Optics</subject><subject>Physics</subject><subject>Wave optics</subject><subject>Wave propagation, transmission and absorption</subject><issn>0021-9991</issn><issn>1090-2716</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1984</creationdate><recordtype>article</recordtype><sourceid>CYI</sourceid><recordid>eNp9kE9LxDAQxYMouK5-gz30IKKHapKmbXIRZFn_wKIXPYc0nUqkTddMK_jtzW6XPQqBIXm_N5l5hCwYvWWUFXeUcpYqpdi1FDdqdxNHZMaooikvWXFMZgfklJwhflFKZS7kjKxexw6Cs6ZNbN9txsEMrveY9D4eSGvXgcf4EnXnfyAgJGjNMESP_0w2oa9a6PCcnDSmRbjY1zn5eFy9L5_T9dvTy_JhndpM8iE1zFhWsqaJM4E1ZV7JUtSWGgZWVGUpDeW5UaqiLCq2FiJjjVAZL_Kq4qLI5uRq6hs__h4BB905tNC2xkM_ouaCK6lEGUExgTb0iAEavQmuM-FXM6q3meltIHobiJZC7zLTItou9_1N3LJtgvHW4cGraCFLySO2mDBv0Gg_BNRMSUFprjIpo3w_yRCj-HEQNFoH3kLtAthB1737f4w_1qaIvw</recordid><startdate>19840701</startdate><enddate>19840701</enddate><creator>Dunn, Mark H</creator><creator>Hariharan, S.I</creator><general>Elsevier Inc</general><general>Elsevier</general><scope>CYE</scope><scope>CYI</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>19840701</creationdate><title>Numerical computations on one-dimensional inverse scattering problems</title><author>Dunn, Mark H ; Hariharan, S.I</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c382t-a1ac171ff716eca75b874dc0a1ec4b778a025a99b01b87cd4431f493265bb2463</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1984</creationdate><topic>Exact sciences and technology</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Numerical Analysis</topic><topic>Optics</topic><topic>Physics</topic><topic>Wave optics</topic><topic>Wave propagation, transmission and absorption</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Dunn, Mark H</creatorcontrib><creatorcontrib>Hariharan, S.I</creatorcontrib><collection>NASA Scientific and Technical Information</collection><collection>NASA Technical Reports Server</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Journal of computational physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Dunn, Mark H</au><au>Hariharan, S.I</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Numerical computations on one-dimensional inverse scattering problems</atitle><jtitle>Journal of computational physics</jtitle><date>1984-07-01</date><risdate>1984</risdate><volume>55</volume><issue>1</issue><spage>157</spage><epage>165</epage><pages>157-165</pages><issn>0021-9991</issn><eissn>1090-2716</eissn><abstract>In this note we present an approximate method to detemine the index of refraction of a dielectric obstacle. For simplicity we treat one-dimensional models of electromagnetic scattering. The governing equations yield a second-order boundary value problem, in which the index of refraction appears as a functional parameter. The availability of reflection coefficients yields an additional initial condition. We approximate the index of refraction by a
kth-order spline which can be written as a linear combination of
B-splines. For
N/2 distinct reflection coefficients, the resulting
N/2 initial value problems yield a system of
N nonlinear equations in
N unknowns which are the coefficients of the
B-splines.</abstract><cop>Legacy CDMS</cop><pub>Elsevier Inc</pub><doi>10.1016/0021-9991(84)90021-4</doi><tpages>9</tpages><oa>free_for_read</oa></addata></record> |
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| ispartof | Journal of computational physics, 1984-07, Vol.55 (1), p.157-165 |
| issn | 0021-9991 1090-2716 |
| language | eng |
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| source | Elsevier ScienceDirect Journals; NASA Technical Reports Server |
| subjects | Exact sciences and technology Fundamental areas of phenomenology (including applications) Numerical Analysis Optics Physics Wave optics Wave propagation, transmission and absorption |
| title | Numerical computations on one-dimensional inverse scattering problems |
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