Source splitting via the point source method
Identifieur interne : 000035 ( Main/Exploration ); précédent : 000034; suivant : 000036Source splitting via the point source method
Auteurs : Roland Potthast [Royaume-Uni] ; Filippo M. Fazi [Royaume-Uni] ; Philip A. Nelson [Royaume-Uni]Source :
- Inverse Problems [ 0266-5611 ] ; 2010.
Abstract
We introduce a new algorithm for source identification and field splitting based on the point source method (Potthast 1998 A point-source method for inverse acoustic and electromagnetic obstacle scattering problems IMA J. Appl. Math. 61 11940, Potthast R 1996 A fast new method to solve inverse scattering problems Inverse Problems 12 73142). The task is to separate the sound fields uj, j 1, , n of sound sources supported in different bounded domains G1, , Gn in from measurements of the field on some microphone arraymathematically speaking from the knowledge of the sum of the fields u u1 un on some open subset of a plane. The main idea of the scheme is to calculate filter functions , to construct u for 1, , n from u in the formWe will provide the complete mathematical theory for the field splitting via the point source method. In particular, we describe uniqueness, solvability of the problem and convergence and stability of the algorithm. In the second part we describe the practical realization of the splitting for real data measurements carried out at the Institute for Sound and Vibration Research at Southampton, UK. A practical demonstration of the original recording and the splitting results for real data is available online.
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DOI: 10.1088/0266-5611/26/4/045002
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Nelson</name></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:56F89300A1C0C21B1AC86F42D657543F6C127EFB</idno><date when="2010" year="2010">2010</date><idno type="doi">10.1088/0266-5611/26/4/045002</idno><idno type="url">https://api.istex.fr/document/56F89300A1C0C21B1AC86F42D657543F6C127EFB/fulltext/pdf</idno><idno type="wicri:Area/Main/Corpus">000F39</idno><idno type="wicri:explorRef" wicri:stream="Main" wicri:step="Corpus" wicri:corpus="ISTEX">000F39</idno><idno type="wicri:Area/Main/Curation">000F39</idno><idno type="wicri:Area/Main/Exploration">000035</idno><idno type="wicri:explorRef" wicri:stream="Main" wicri:step="Exploration">000035</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a">Source splitting via the point source method</title><author><name sortKey="Potthast, Roland" sort="Potthast, Roland" uniqKey="Potthast R" first="Roland" last="Potthast">Roland Potthast</name><affiliation wicri:level="1"><country xml:lang="fr">Royaume-Uni</country><wicri:regionArea>Department of Mathematics, University of Reading, Whiteknights, PO Box 220, Berkshire, RG6 6AX</wicri:regionArea><wicri:noRegion>RG6 6AX</wicri:noRegion></affiliation><affiliation wicri:level="1"><country wicri:rule="url">Royaume-Uni</country></affiliation></author><author><name sortKey="Fazi, Filippo M" sort="Fazi, Filippo M" uniqKey="Fazi F" first="Filippo M" last="Fazi">Filippo M. Fazi</name><affiliation wicri:level="1"><country xml:lang="fr">Royaume-Uni</country><wicri:regionArea>Institute of Sound and Vibration Research ISVR, University of Southampton</wicri:regionArea><wicri:noRegion>University of Southampton</wicri:noRegion></affiliation><affiliation wicri:level="1"><country wicri:rule="url">Royaume-Uni</country></affiliation></author><author><name sortKey="Nelson, Philip A" sort="Nelson, Philip A" uniqKey="Nelson P" first="Philip A" last="Nelson">Philip A. Nelson</name><affiliation wicri:level="1"><country xml:lang="fr">Royaume-Uni</country><wicri:regionArea>Institute of Sound and Vibration Research ISVR, University of Southampton</wicri:regionArea><wicri:noRegion>University of Southampton</wicri:noRegion></affiliation></author></analytic><monogr></monogr><series><title level="j">Inverse Problems</title><title level="j" type="abbrev">Inverse Problems</title><idno type="ISSN">0266-5611</idno><idno type="eISSN">1361-6420</idno><imprint><publisher>IOP Publishing</publisher><date type="published" when="2010">2010</date><biblScope unit="volume">26</biblScope><biblScope unit="issue">4</biblScope><biblScope unit="page" from="1">1</biblScope><biblScope unit="page" to="17">17</biblScope><biblScope unit="production">Printed in the UK & the USA</biblScope></imprint><idno type="ISSN">0266-5611</idno></series><idno type="istex">56F89300A1C0C21B1AC86F42D657543F6C127EFB</idno><idno type="DOI">10.1088/0266-5611/26/4/045002</idno><idno type="PII">S0266-5611(10)06000-6</idno><idno type="articleID">306000</idno><idno type="articleNumber">045002</idno></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0266-5611</idno></seriesStmt></fileDesc><profileDesc><textClass></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract">We introduce a new algorithm for source identification and field splitting based on the point source method (Potthast 1998 A point-source method for inverse acoustic and electromagnetic obstacle scattering problems IMA J. Appl. Math. 61 11940, Potthast R 1996 A fast new method to solve inverse scattering problems Inverse Problems 12 73142). The task is to separate the sound fields uj, j 1, , n of sound sources supported in different bounded domains G1, , Gn in from measurements of the field on some microphone arraymathematically speaking from the knowledge of the sum of the fields u u1 un on some open subset of a plane. The main idea of the scheme is to calculate filter functions , to construct u for 1, , n from u in the formWe will provide the complete mathematical theory for the field splitting via the point source method. In particular, we describe uniqueness, solvability of the problem and convergence and stability of the algorithm. In the second part we describe the practical realization of the splitting for real data measurements carried out at the Institute for Sound and Vibration Research at Southampton, UK. A practical demonstration of the original recording and the splitting results for real data is available online.</div></front></TEI><affiliations><list><country><li>Royaume-Uni</li></country></list><tree><country name="Royaume-Uni"><noRegion><name sortKey="Potthast, Roland" sort="Potthast, Roland" uniqKey="Potthast R" first="Roland" last="Potthast">Roland Potthast</name></noRegion><name sortKey="Fazi, Filippo M" sort="Fazi, Filippo M" uniqKey="Fazi F" first="Filippo M" last="Fazi">Filippo M. Fazi</name><name sortKey="Fazi, Filippo M" sort="Fazi, Filippo M" uniqKey="Fazi F" first="Filippo M" last="Fazi">Filippo M. Fazi</name><name sortKey="Nelson, Philip A" sort="Nelson, Philip A" uniqKey="Nelson P" first="Philip A" last="Nelson">Philip A. Nelson</name><name sortKey="Potthast, Roland" sort="Potthast, Roland" uniqKey="Potthast R" first="Roland" last="Potthast">Roland Potthast</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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