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Article: Variable density linear acoustic inverse problem

TitleVariable density linear acoustic inverse problem
Authors
Issue Date1993
Citation
Ultrasonic Imaging, 1993, v. 15 n. 3, p. 255-266 How to Cite?
AbstractThe linear acoustic inverse problem is solved simultaneously for density (ρ) and compressibility (κ) using the basic ideas of diffraction tomography (DT). The key to solving this problem is to utilize frequency diversity to obtain the required independent measurements. The receivers are assumed to be in the far field of the object, and plane wave incidence is also assumed. The Born approximation is used to arrive at a relationship between the measured pressure field and two terms related to the spatial Fourier transform of the two unknowns, ρ and κ. The term involving compressibility corresponds to monopole scattering and that for density to dipole scattering. Measurements at several frequencies are used and a least squares problem is solved to reconstruct ρ and κ at the same time. It is observed that the low spatial frequencies in the spectra of ρ and κ produce inaccuracies in the results. Hence, a regularization method is devised to remove this problem. Several results are shown. Low contrast objects for which the above analysis holds are used to show that good reconstructions are obtained for both density and compressibility after regularization is applied.
Persistent Identifierhttp://hdl.handle.net/10722/182537
ISSN
2015 Impact Factor: 2.111
2015 SCImago Journal Rankings: 0.610
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorMoghaddam, Men_US
dc.contributor.authorChew, WCen_US
dc.date.accessioned2013-05-02T05:15:47Z-
dc.date.available2013-05-02T05:15:47Z-
dc.date.issued1993en_US
dc.identifier.citationUltrasonic Imaging, 1993, v. 15 n. 3, p. 255-266en_US
dc.identifier.issn0161-7346en_US
dc.identifier.urihttp://hdl.handle.net/10722/182537-
dc.description.abstractThe linear acoustic inverse problem is solved simultaneously for density (ρ) and compressibility (κ) using the basic ideas of diffraction tomography (DT). The key to solving this problem is to utilize frequency diversity to obtain the required independent measurements. The receivers are assumed to be in the far field of the object, and plane wave incidence is also assumed. The Born approximation is used to arrive at a relationship between the measured pressure field and two terms related to the spatial Fourier transform of the two unknowns, ρ and κ. The term involving compressibility corresponds to monopole scattering and that for density to dipole scattering. Measurements at several frequencies are used and a least squares problem is solved to reconstruct ρ and κ at the same time. It is observed that the low spatial frequencies in the spectra of ρ and κ produce inaccuracies in the results. Hence, a regularization method is devised to remove this problem. Several results are shown. Low contrast objects for which the above analysis holds are used to show that good reconstructions are obtained for both density and compressibility after regularization is applied.en_US
dc.languageengen_US
dc.relation.ispartofUltrasonic Imagingen_US
dc.subject.meshAcousticsen_US
dc.subject.meshAlgorithmsen_US
dc.subject.meshHumansen_US
dc.subject.meshSignal Processing, Computer-Assisteden_US
dc.subject.meshTomographyen_US
dc.titleVariable density linear acoustic inverse problemen_US
dc.typeArticleen_US
dc.identifier.emailChew, WC: wcchew@hku.hken_US
dc.identifier.authorityChew, WC=rp00656en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1006/uimg.1993.1016en_US
dc.identifier.pmid8879095-
dc.identifier.scopuseid_2-s2.0-0027742817en_US
dc.identifier.volume15en_US
dc.identifier.issue3en_US
dc.identifier.spage255en_US
dc.identifier.epage266en_US
dc.identifier.isiWOS:A1993MV10300005-
dc.identifier.scopusauthoridMoghaddam, M=7004934627en_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US

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