Computational Methods for One-Dimensional Scattering in Non-Smooth Media

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dc.contributor.advisorGibson, Peter
dc.contributor.authorChien-Cheng Chiu
dc.date.accessioned2022-08-08T15:48:41Z
dc.date.available2022-08-08T15:48:41Z
dc.date.copyright2021-09-24
dc.date.issued2022-08-08
dc.date.updated2022-08-08T15:48:41Z
dc.degree.disciplineMathematics & Statistics
dc.degree.levelMaster's
dc.degree.nameMA - Master of Arts
dc.description.abstractThis thesis implements various numerical algorithms used for acoustic imaging of layered media: the scattering-based algorithm, the classical Born approximation, the refined impedance transform and the echoes-to-impedance transform. The last three are inverse scattering algorithms that numerically convert data in the time domain to an impedance in the spatial domain; however, the simplicity, speed and accuracy can differ greatly among them. In place of physical recordings, the scattering-based algorithm is used to generate accurate synthetic data. Numerical experiments and error analyses reveal significant differences among the three. The principal conclusion is that the method based on the most sophisticated mathematical ideas, namely the echoes-to-impedance transform, is far superior.
dc.identifier.urihttp://hdl.handle.net/10315/39608
dc.languageen
dc.rightsAuthor owns copyright, except where explicitly noted. Please contact the author directly with licensing requests.
dc.subjectPhysics
dc.subject.keywordsAcoustic imaging
dc.subject.keywordsMedia
dc.subject.keywordsScattering
dc.subject.keywordsInverse scattering
dc.subject.keywordsNumerical algorithms
dc.subject.keywordsComputational methods
dc.subject.keywordsSignal processing
dc.titleComputational Methods for One-Dimensional Scattering in Non-Smooth Media
dc.typeElectronic Thesis or Dissertation

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