PHOTOACOUSTIC TOMOGRAPHY IN ATTENUATING MEDIA WITH PARTIAL DATA

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dc.contributor.authorPalacios, Benjamin
dc.date.accessioned2025-01-20T21:10:38Z
dc.date.available2025-01-20T21:10:38Z
dc.date.issued2022
dc.description.abstractThe attenuation of ultrasound waves in photoacoustic and ther-moacoustic imaging presents an important drawback in the applicability of these modalities. This issue has been addressed previously in the applied and theoretical literature, and some advances have been made on the topic. In particular, stability inequalities have been proposed for the inverse problem of initial source recovery with partial observations under the assumption of unique determination of the initial pressure. The main goal of this work is to fill this gap, this is, we prove the uniqueness property for the inverse prob-lem and establish the associated stability estimates as well. The problem of reconstructing the initial condition of acoustic waves in the complete-data set-ting is revisited and a new Neumann series reconstruction formula is obtained for the case of partial observations in a semi-bounded geometry. A numerical simulation is also included to test the method.
dc.fuente.origenWOS
dc.identifier.doi10.3934/ipi.2022013
dc.identifier.eissn1930-8345
dc.identifier.issn1930-8337
dc.identifier.urihttps://doi.org/10.3934/ipi.2022013
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/93585
dc.identifier.wosidWOS:000773674100001
dc.language.isoen
dc.revistaInverse problems and imaging
dc.rightsacceso restringido
dc.subject&nbsp
dc.subjectMultiwave imaging
dc.subjectdamped wave equation
dc.subjectacoustic attenuation
dc.subjectpartial data
dc.subjectdissipative boundary
dc.subjectNeumann series
dc.subject.ods03 Good Health and Well-being
dc.subject.odspa03 Salud y bienestar
dc.titlePHOTOACOUSTIC TOMOGRAPHY IN ATTENUATING MEDIA WITH PARTIAL DATA
dc.typeartículo
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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