Fourier method for recovering acoustic sources from multi-frequency far-field data
We consider an inverse source problem of determining a source term in the Helmholtz equation from multi-frequency far-field measurements. Based on the Fourier series expansion, we develop a novel non-iterative reconstruction method for solving the problem. A promising feature of this method is that...
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| Veröffentlicht in: | Inverse problems 2017-03, Vol.33 (3), p.35001 |
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| container_issue | 3 |
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| container_title | Inverse problems |
| container_volume | 33 |
| creator | Wang, Xianchao Guo, Yukun Zhang, Deyue Liu, Hongyu |
| description | We consider an inverse source problem of determining a source term in the Helmholtz equation from multi-frequency far-field measurements. Based on the Fourier series expansion, we develop a novel non-iterative reconstruction method for solving the problem. A promising feature of this method is that it utilizes the data from only a few observation directions for each frequency. Theoretical uniqueness and stability analysis are provided. Numerical experiments are conducted to illustrate the effectiveness and efficiency of the proposed method in both two and three dimensions. |
| doi_str_mv | 10.1088/1361-6420/aa573c |
| format | Article |
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Based on the Fourier series expansion, we develop a novel non-iterative reconstruction method for solving the problem. A promising feature of this method is that it utilizes the data from only a few observation directions for each frequency. Theoretical uniqueness and stability analysis are provided. Numerical experiments are conducted to illustrate the effectiveness and efficiency of the proposed method in both two and three dimensions.</description><identifier>ISSN: 0266-5611</identifier><identifier>EISSN: 1361-6420</identifier><identifier>DOI: 10.1088/1361-6420/aa573c</identifier><identifier>CODEN: INPEEY</identifier><language>eng</language><publisher>IOP Publishing</publisher><subject>far-field ; Fourier expansion ; Helmholtz equation ; inverse source problem ; multi-frequency</subject><ispartof>Inverse problems, 2017-03, Vol.33 (3), p.35001</ispartof><rights>2017 IOP Publishing Ltd</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-a303t-c595fd10c05bcc2499c26afcc0ac43e1c7996327c5d2bbef104ee643dfe692453</citedby><cites>FETCH-LOGICAL-a303t-c595fd10c05bcc2499c26afcc0ac43e1c7996327c5d2bbef104ee643dfe692453</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://iopscience.iop.org/article/10.1088/1361-6420/aa573c/pdf$$EPDF$$P50$$Giop$$H</linktopdf><link.rule.ids>314,776,780,27901,27902,53821,53868</link.rule.ids></links><search><creatorcontrib>Wang, Xianchao</creatorcontrib><creatorcontrib>Guo, Yukun</creatorcontrib><creatorcontrib>Zhang, Deyue</creatorcontrib><creatorcontrib>Liu, Hongyu</creatorcontrib><title>Fourier method for recovering acoustic sources from multi-frequency far-field data</title><title>Inverse problems</title><addtitle>IP</addtitle><addtitle>Inverse Problems</addtitle><description>We consider an inverse source problem of determining a source term in the Helmholtz equation from multi-frequency far-field measurements. 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Numerical experiments are conducted to illustrate the effectiveness and efficiency of the proposed method in both two and three dimensions.</description><subject>far-field</subject><subject>Fourier expansion</subject><subject>Helmholtz equation</subject><subject>inverse source problem</subject><subject>multi-frequency</subject><issn>0266-5611</issn><issn>1361-6420</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><recordid>eNp1kEFLAzEQhYMoWKt3j_kBRifJJts9SrEqFATRc0hnJ5rSbWqyK_Tfu6XizdPA473Hm4-xawm3EmazO6mtFLZScOe9qTWesMmfdMomoKwVxkp5zi5KWQNIOZP1hL0u0pAjZd5R_5laHlLmmTB9U47bD-4xDaWPyMtoQyo85NTxbtj0UYRMXwNtcc-DzyJE2rS89b2_ZGfBbwpd_d4pe188vM2fxPLl8Xl-vxReg-4FmsaEVgKCWSGqqmlQWR8QwWOlSWLdNFarGk2rVisKEioiW-k2kG1UZfSUwbEXcyolU3C7HDuf906COzBxBwDuAMAdmYyRm2Mkpp1bjy9tx4H_238A5oBkRQ</recordid><startdate>20170301</startdate><enddate>20170301</enddate><creator>Wang, Xianchao</creator><creator>Guo, Yukun</creator><creator>Zhang, Deyue</creator><creator>Liu, Hongyu</creator><general>IOP Publishing</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20170301</creationdate><title>Fourier method for recovering acoustic sources from multi-frequency far-field data</title><author>Wang, Xianchao ; Guo, Yukun ; Zhang, Deyue ; Liu, Hongyu</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a303t-c595fd10c05bcc2499c26afcc0ac43e1c7996327c5d2bbef104ee643dfe692453</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>far-field</topic><topic>Fourier expansion</topic><topic>Helmholtz equation</topic><topic>inverse source problem</topic><topic>multi-frequency</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wang, Xianchao</creatorcontrib><creatorcontrib>Guo, Yukun</creatorcontrib><creatorcontrib>Zhang, Deyue</creatorcontrib><creatorcontrib>Liu, Hongyu</creatorcontrib><collection>CrossRef</collection><jtitle>Inverse problems</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wang, Xianchao</au><au>Guo, Yukun</au><au>Zhang, Deyue</au><au>Liu, Hongyu</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Fourier method for recovering acoustic sources from multi-frequency far-field data</atitle><jtitle>Inverse problems</jtitle><stitle>IP</stitle><addtitle>Inverse Problems</addtitle><date>2017-03-01</date><risdate>2017</risdate><volume>33</volume><issue>3</issue><spage>35001</spage><pages>35001-</pages><issn>0266-5611</issn><eissn>1361-6420</eissn><coden>INPEEY</coden><abstract>We consider an inverse source problem of determining a source term in the Helmholtz equation from multi-frequency far-field measurements. Based on the Fourier series expansion, we develop a novel non-iterative reconstruction method for solving the problem. A promising feature of this method is that it utilizes the data from only a few observation directions for each frequency. Theoretical uniqueness and stability analysis are provided. Numerical experiments are conducted to illustrate the effectiveness and efficiency of the proposed method in both two and three dimensions.</abstract><pub>IOP Publishing</pub><doi>10.1088/1361-6420/aa573c</doi><tpages>18</tpages></addata></record> |
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| ispartof | Inverse problems, 2017-03, Vol.33 (3), p.35001 |
| issn | 0266-5611 1361-6420 |
| language | eng |
| recordid | cdi_crossref_primary_10_1088_1361_6420_aa573c |
| source | IOP Publishing Journals; Institute of Physics (IOP) Journals - HEAL-Link |
| subjects | far-field Fourier expansion Helmholtz equation inverse source problem multi-frequency |
| title | Fourier method for recovering acoustic sources from multi-frequency far-field data |
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