Inverse solution of thermoacoustic wave equation for cylindrical layered media

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dc.authorid0000-0001-7209-5131
dc.authorid0000-0001-9126-8384
dc.contributor.authorElmas, Demeten_US
dc.contributor.authorÜnalmış Uzun, Banuen_US
dc.date.accessioned2022-05-25T16:27:41Z
dc.date.available2022-05-25T16:27:41Z
dc.date.issued2022-03-30
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractThermoacoustic imaging is a crossbred approach taking advantages of electromagnetic and ultrasound disciplines, together. A significant number of current medical imaging strategies are based on reconstruction of source distribution from information collected by sensors over a surface covering the region to be imaged. Reconstruction in thermoacoustic imaging depends on the inverse solution of thermoacoustic wave equation. Homogeneous assumption of tissue to be imaged results in degradation of image quality. In our paper, inverse solution of the thermoacoustic wave equation using layered tissue model consisting of concentric annular layers on a cylindrical cross-section is investigated for cross-sectional thermoacustic imaging of breast and brain. By using Green’s functions and surface integral methods we derive an exact analytic inverse solution of thermoacoustic wave equation in frequency domain. Our inverse solution is an extension of conventional solution to layered cylindrical structures. By carrying out simulations, using numerical test phantoms consisting of thermoacoustic sources distributed in the layered model, our layered medium assumption solution was tested and benchmarked with conventional solutions based on homogeneous medium assumption in frequency domain. In thermoacoustic image reconstruction, where the medium is assumed as homogeneous medium, the solution of nonhomogeneous thermoacoustic wave equation results in geometrical distortions, artifacts and reduced image resolution due to inconvenient medium assumptions.en_US
dc.identifier.citationElmas, D. & Ünalmış Uzun, B. (2022). Inverse solution of thermoacoustic wave equation for cylindrical layered media. Frontiers in Physics, 10, 1-9. doi:10.3389/fphy.2022.736555en_US
dc.identifier.doi10.3389/fphy.2022.736555
dc.identifier.endpage9
dc.identifier.issn2296-424X
dc.identifier.scopus2-s2.0-85128480465
dc.identifier.scopusqualityQ2
dc.identifier.startpage1
dc.identifier.urihttps://hdl.handle.net/11729/4360
dc.identifier.urihttp://dx.doi.org/ 10.3389/fphy.2022.736555
dc.identifier.volume10
dc.identifier.wosWOS:000806352300001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorElmas, Demeten_US
dc.institutionauthorÜnalmış Uzun, Banuen_US
dc.institutionauthorid0000-0001-7209-5131
dc.institutionauthorid0000-0001-9126-8384
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherFrontiers Media S.A.en_US
dc.relation.ispartofFrontiers in Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectGreen’s functionsen_US
dc.subjectIntegral equationsen_US
dc.subjectInverse source problemen_US
dc.subjectLayered mediumen_US
dc.subjectThermoacoustic imagingen_US
dc.subjectPhotoacoustic tomographyen_US
dc.subjectThermoacousticsen_US
dc.subjectEchographyen_US
dc.subjectAcoustic heterogeneityen_US
dc.subjectReconstructionen_US
dc.titleInverse solution of thermoacoustic wave equation for cylindrical layered mediaen_US
dc.typeArticleen_US
dspace.entity.typePublication

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