The three-dimensional inverse-scattering and inverse-source problems with a planar aperture.
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| Title: | The three-dimensional inverse-scattering and inverse-source problems with a planar aperture. |
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| Authors: | Norton, Stephen J.1 sjnorton@duke.edu |
| Source: | Journal of the Acoustical Society of America. Jun2015, Vol. 137 Issue 6, pEL443-EL448. 6p. |
| Subjects: | Inverse scattering transform, Scattering potentials, Integral equations, Green's functions, Born approximation, Degrees of freedom, Fourier transforms, Cross correlation |
| Abstract: | When signals are recorded on a planar aperture with point emitters/detectors, from either a three-dimensional (3D) scattering potential or from a 3D spatially-incoherent source distribution, an integral equation arises containing the product of two Green's functions in the weak scattering limit (the Born approximation). This fundamental imaging equation for scatterers or sources is derived and solved analytically. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of the Acoustical Society of America is the property of American Institute of Physics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 103359000 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: The three-dimensional inverse-scattering and inverse-source problems with a planar aperture. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Norton%2C+Stephen+J%2E%22">Norton, Stephen J.</searchLink><relatesTo>1</relatesTo><i> sjnorton@duke.edu</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+the+Acoustical+Society+of+America%22">Journal of the Acoustical Society of America</searchLink>. Jun2015, Vol. 137 Issue 6, pEL443-EL448. 6p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Inverse+scattering+transform%22">Inverse scattering transform</searchLink><br /><searchLink fieldCode="DE" term="%22Scattering+potentials%22">Scattering potentials</searchLink><br /><searchLink fieldCode="DE" term="%22Integral+equations%22">Integral equations</searchLink><br /><searchLink fieldCode="DE" term="%22Green's+functions%22">Green's functions</searchLink><br /><searchLink fieldCode="DE" term="%22Born+approximation%22">Born approximation</searchLink><br /><searchLink fieldCode="DE" term="%22Degrees+of+freedom%22">Degrees of freedom</searchLink><br /><searchLink fieldCode="DE" term="%22Fourier+transforms%22">Fourier transforms</searchLink><br /><searchLink fieldCode="DE" term="%22Cross+correlation%22">Cross correlation</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: When signals are recorded on a planar aperture with point emitters/detectors, from either a three-dimensional (3D) scattering potential or from a 3D spatially-incoherent source distribution, an integral equation arises containing the product of two Green's functions in the weak scattering limit (the Born approximation). This fundamental imaging equation for scatterers or sources is derived and solved analytically. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of the Acoustical Society of America is the property of American Institute of Physics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=103359000 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1121/1.4921672 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 6 StartPage: EL443 Subjects: – SubjectFull: Inverse scattering transform Type: general – SubjectFull: Scattering potentials Type: general – SubjectFull: Integral equations Type: general – SubjectFull: Green's functions Type: general – SubjectFull: Born approximation Type: general – SubjectFull: Degrees of freedom Type: general – SubjectFull: Fourier transforms Type: general – SubjectFull: Cross correlation Type: general Titles: – TitleFull: The three-dimensional inverse-scattering and inverse-source problems with a planar aperture. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Norton, Stephen J. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: Jun2015 Type: published Y: 2015 Identifiers: – Type: issn-print Value: 00014966 Numbering: – Type: volume Value: 137 – Type: issue Value: 6 Titles: – TitleFull: Journal of the Acoustical Society of America Type: main |
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