An iterative method for a two-dimensional inverse scattering problem for a dielectric
The inverse problem under consideration is to reconstruct theshape of a homogeneous dielectric infinite cylinder from the far fieldpattern for scattering of a time-harmonic E-polarized electromagneticplane wave. We proposean inverse algorithm that extends the approach suggested and investigatedby Kr...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Altundag, Ahmet [verfasserIn] Kress, Rainer [verfasserIn] |
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| Format: |
E-Artikel |
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| Erschienen: |
Walter de Gruyter GmbH & Co. KG ; 2012 |
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| Schlagwörter: |
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| Umfang: |
16 |
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| Reproduktion: |
Walter de Gruyter Online Zeitschriften |
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| Übergeordnetes Werk: |
Enthalten in: Journal of inverse and ill-posed problems - Berlin : de Gruyter, 1993, 20(2012), 4 vom: 02. Okt., Seite 575-590 |
| Übergeordnetes Werk: |
volume:20 ; year:2012 ; number:4 ; day:02 ; month:10 ; pages:575-590 ; extent:16 |
| Links: |
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| DOI / URN: |
10.1515/jip-2012-0031 |
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NLEJ247091669 |
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| 520 | |a The inverse problem under consideration is to reconstruct theshape of a homogeneous dielectric infinite cylinder from the far fieldpattern for scattering of a time-harmonic E-polarized electromagneticplane wave. We proposean inverse algorithm that extends the approach suggested and investigatedby Kress and Rundell for the electrostatic case and by Ivanyshyn and Kressfor the time-harmonic case when the scattering object is a perfect conductor. It is based on a system of nonlinear boundary integral equations associated with a single-layerpotential approach to solve the forward scattering problem. We present the mathematical foundations of the method and exhibit its feasibility by numerical examples. | ||
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10.1515/jip-2012-0031 doi artikel_Grundlieferung.pp (DE-627)NLEJ247091669 DE-627 ger DE-627 rakwb Altundag, Ahmet verfasserin aut An iterative method for a two-dimensional inverse scattering problem for a dielectric Walter de Gruyter GmbH & Co. KG 2012 16 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The inverse problem under consideration is to reconstruct theshape of a homogeneous dielectric infinite cylinder from the far fieldpattern for scattering of a time-harmonic E-polarized electromagneticplane wave. We proposean inverse algorithm that extends the approach suggested and investigatedby Kress and Rundell for the electrostatic case and by Ivanyshyn and Kressfor the time-harmonic case when the scattering object is a perfect conductor. It is based on a system of nonlinear boundary integral equations associated with a single-layerpotential approach to solve the forward scattering problem. We present the mathematical foundations of the method and exhibit its feasibility by numerical examples. Walter de Gruyter Online Zeitschriften Inverse scattering Helmholtz equation transmission problem single-layer approach nonlinear integral equations iterative method Kress, Rainer verfasserin aut Enthalten in Journal of inverse and ill-posed problems Berlin : de Gruyter, 1993 20(2012), 4 vom: 02. Okt., Seite 575-590 (DE-627)NLEJ248236091 (DE-600)2041913-2 1569-3945 nnns volume:20 year:2012 number:4 day:02 month:10 pages:575-590 extent:16 https://doi.org/10.1515/jip-2012-0031 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 20 2012 4 02 10 575-590 16 |
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10.1515/jip-2012-0031 doi artikel_Grundlieferung.pp (DE-627)NLEJ247091669 DE-627 ger DE-627 rakwb Altundag, Ahmet verfasserin aut An iterative method for a two-dimensional inverse scattering problem for a dielectric Walter de Gruyter GmbH & Co. KG 2012 16 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The inverse problem under consideration is to reconstruct theshape of a homogeneous dielectric infinite cylinder from the far fieldpattern for scattering of a time-harmonic E-polarized electromagneticplane wave. We proposean inverse algorithm that extends the approach suggested and investigatedby Kress and Rundell for the electrostatic case and by Ivanyshyn and Kressfor the time-harmonic case when the scattering object is a perfect conductor. It is based on a system of nonlinear boundary integral equations associated with a single-layerpotential approach to solve the forward scattering problem. We present the mathematical foundations of the method and exhibit its feasibility by numerical examples. Walter de Gruyter Online Zeitschriften Inverse scattering Helmholtz equation transmission problem single-layer approach nonlinear integral equations iterative method Kress, Rainer verfasserin aut Enthalten in Journal of inverse and ill-posed problems Berlin : de Gruyter, 1993 20(2012), 4 vom: 02. Okt., Seite 575-590 (DE-627)NLEJ248236091 (DE-600)2041913-2 1569-3945 nnns volume:20 year:2012 number:4 day:02 month:10 pages:575-590 extent:16 https://doi.org/10.1515/jip-2012-0031 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 20 2012 4 02 10 575-590 16 |
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10.1515/jip-2012-0031 doi artikel_Grundlieferung.pp (DE-627)NLEJ247091669 DE-627 ger DE-627 rakwb Altundag, Ahmet verfasserin aut An iterative method for a two-dimensional inverse scattering problem for a dielectric Walter de Gruyter GmbH & Co. KG 2012 16 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The inverse problem under consideration is to reconstruct theshape of a homogeneous dielectric infinite cylinder from the far fieldpattern for scattering of a time-harmonic E-polarized electromagneticplane wave. We proposean inverse algorithm that extends the approach suggested and investigatedby Kress and Rundell for the electrostatic case and by Ivanyshyn and Kressfor the time-harmonic case when the scattering object is a perfect conductor. It is based on a system of nonlinear boundary integral equations associated with a single-layerpotential approach to solve the forward scattering problem. We present the mathematical foundations of the method and exhibit its feasibility by numerical examples. Walter de Gruyter Online Zeitschriften Inverse scattering Helmholtz equation transmission problem single-layer approach nonlinear integral equations iterative method Kress, Rainer verfasserin aut Enthalten in Journal of inverse and ill-posed problems Berlin : de Gruyter, 1993 20(2012), 4 vom: 02. Okt., Seite 575-590 (DE-627)NLEJ248236091 (DE-600)2041913-2 1569-3945 nnns volume:20 year:2012 number:4 day:02 month:10 pages:575-590 extent:16 https://doi.org/10.1515/jip-2012-0031 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 20 2012 4 02 10 575-590 16 |
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10.1515/jip-2012-0031 doi artikel_Grundlieferung.pp (DE-627)NLEJ247091669 DE-627 ger DE-627 rakwb Altundag, Ahmet verfasserin aut An iterative method for a two-dimensional inverse scattering problem for a dielectric Walter de Gruyter GmbH & Co. KG 2012 16 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The inverse problem under consideration is to reconstruct theshape of a homogeneous dielectric infinite cylinder from the far fieldpattern for scattering of a time-harmonic E-polarized electromagneticplane wave. We proposean inverse algorithm that extends the approach suggested and investigatedby Kress and Rundell for the electrostatic case and by Ivanyshyn and Kressfor the time-harmonic case when the scattering object is a perfect conductor. It is based on a system of nonlinear boundary integral equations associated with a single-layerpotential approach to solve the forward scattering problem. We present the mathematical foundations of the method and exhibit its feasibility by numerical examples. Walter de Gruyter Online Zeitschriften Inverse scattering Helmholtz equation transmission problem single-layer approach nonlinear integral equations iterative method Kress, Rainer verfasserin aut Enthalten in Journal of inverse and ill-posed problems Berlin : de Gruyter, 1993 20(2012), 4 vom: 02. Okt., Seite 575-590 (DE-627)NLEJ248236091 (DE-600)2041913-2 1569-3945 nnns volume:20 year:2012 number:4 day:02 month:10 pages:575-590 extent:16 https://doi.org/10.1515/jip-2012-0031 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 20 2012 4 02 10 575-590 16 |
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An iterative method for a two-dimensional inverse scattering problem for a dielectric |
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The inverse problem under consideration is to reconstruct theshape of a homogeneous dielectric infinite cylinder from the far fieldpattern for scattering of a time-harmonic E-polarized electromagneticplane wave. We proposean inverse algorithm that extends the approach suggested and investigatedby Kress and Rundell for the electrostatic case and by Ivanyshyn and Kressfor the time-harmonic case when the scattering object is a perfect conductor. It is based on a system of nonlinear boundary integral equations associated with a single-layerpotential approach to solve the forward scattering problem. We present the mathematical foundations of the method and exhibit its feasibility by numerical examples. |
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The inverse problem under consideration is to reconstruct theshape of a homogeneous dielectric infinite cylinder from the far fieldpattern for scattering of a time-harmonic E-polarized electromagneticplane wave. We proposean inverse algorithm that extends the approach suggested and investigatedby Kress and Rundell for the electrostatic case and by Ivanyshyn and Kressfor the time-harmonic case when the scattering object is a perfect conductor. It is based on a system of nonlinear boundary integral equations associated with a single-layerpotential approach to solve the forward scattering problem. We present the mathematical foundations of the method and exhibit its feasibility by numerical examples. |
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The inverse problem under consideration is to reconstruct theshape of a homogeneous dielectric infinite cylinder from the far fieldpattern for scattering of a time-harmonic E-polarized electromagneticplane wave. We proposean inverse algorithm that extends the approach suggested and investigatedby Kress and Rundell for the electrostatic case and by Ivanyshyn and Kressfor the time-harmonic case when the scattering object is a perfect conductor. It is based on a system of nonlinear boundary integral equations associated with a single-layerpotential approach to solve the forward scattering problem. We present the mathematical foundations of the method and exhibit its feasibility by numerical examples. |
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KG</subfield><subfield code="c">2012</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">16</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">The inverse problem under consideration is to reconstruct theshape of a homogeneous dielectric infinite cylinder from the far fieldpattern for scattering of a time-harmonic E-polarized electromagneticplane wave. We proposean inverse algorithm that extends the approach suggested and investigatedby Kress and Rundell for the electrostatic case and by Ivanyshyn and Kressfor the time-harmonic case when the scattering object is a perfect conductor. It is based on a system of nonlinear boundary integral equations associated with a single-layerpotential approach to solve the forward scattering problem. We present the mathematical foundations of the method and exhibit its feasibility by numerical examples.</subfield></datafield><datafield tag="533" ind1=" " ind2=" "><subfield code="f">Walter de Gruyter Online Zeitschriften</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Inverse scattering</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Helmholtz equation</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">transmission problem</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">single-layer approach</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">nonlinear integral equations</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">iterative method</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Kress, Rainer</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Journal of inverse and ill-posed problems</subfield><subfield code="d">Berlin : de Gruyter, 1993</subfield><subfield code="g">20(2012), 4 vom: 02. Okt., Seite 575-590</subfield><subfield code="w">(DE-627)NLEJ248236091</subfield><subfield code="w">(DE-600)2041913-2</subfield><subfield code="x">1569-3945</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:20</subfield><subfield code="g">year:2012</subfield><subfield code="g">number:4</subfield><subfield code="g">day:02</subfield><subfield code="g">month:10</subfield><subfield code="g">pages:575-590</subfield><subfield code="g">extent:16</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/jip-2012-0031</subfield><subfield code="z">Deutschlandweit zugänglich</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-1-DGR</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_NL_ARTICLE</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">20</subfield><subfield code="j">2012</subfield><subfield code="e">4</subfield><subfield code="b">02</subfield><subfield code="c">10</subfield><subfield code="h">575-590</subfield><subfield code="g">16</subfield></datafield></record></collection>
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