PSEUDODIFFERENTIAL MODELS FOR ULTRASOUND WAVES WITH FRACTIONAL ATTENUATION

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dc.contributor.authorAcosta, Sebastian
dc.contributor.authorChan, Jesse
dc.contributor.authorJohnson, Raven
dc.contributor.authorPalacios, Benjamin
dc.date.accessioned2025-01-20T16:09:50Z
dc.date.available2025-01-20T16:09:50Z
dc.date.issued2024
dc.description.abstractTo strike a balance between modeling accuracy and computational efficiency for simulations of ultrasound waves in soft tissues, we derive a pseudodifferential factorization of the wave operator with fractional attenuation. This factorization allows us to approximately solve the Helmholtz equation via one-way (transmission) or two-way (transmission and reflection) sweeping schemes tailored to high-frequency wave fields. We provide explicitly the three highest order terms of the pseudodifferential expansion to incorporate the well-known square-root first order symbol for wave propagation, the zeroth order symbol for amplitude modulation due to changes in wave speed and damping, and the next symbol to model fractional attenuation. We also propose wide-angle Pade'\ approximations for the pseudodifferential operators corresponding to these three highest order symbols. Our analysis provides insights regarding the role played by the frequency and the Pade\' approximations in the estimation of error bounds. We also provide a proof-of-concept numerical implementation of the proposed method and test the error estimates numerically.
dc.fuente.origenWOS
dc.identifier.doi10.1137/24M1634011
dc.identifier.eissn1095-712X
dc.identifier.issn0036-1399
dc.identifier.urihttps://doi.org/10.1137/24M1634011
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/90177
dc.identifier.wosidWOS:001301445400004
dc.issue.numero4
dc.language.isoen
dc.pagina.final1630
dc.pagina.inicio1609
dc.revistaSiam journal on applied mathematics
dc.rightsacceso restringido
dc.subjectwave propagation
dc.subjectacoustics
dc.subjecthigh frequency
dc.subjectHelmholtz equation
dc.subjectpseudodifferential calculus
dc.subjectPade approximations
dc.subject.ods03 Good Health and Well-being
dc.subject.odspa03 Salud y bienestar
dc.titlePSEUDODIFFERENTIAL MODELS FOR ULTRASOUND WAVES WITH FRACTIONAL ATTENUATION
dc.typeartículo
dc.volumen84
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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