Wave propagation in randomly layered media with an application to time reversal

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dc.contributor.advisorBorcea, Liliana
dc.creatorGonzalez del Cueto, Fernando
dc.date.accessioned2009-06-04T08:01:33Z
dc.date.available2009-06-04T08:01:33Z
dc.date.issued2005
dc.description.abstractWe describe the propagation of acoustic waves through randomly layered media over distances much larger than the typical wavelength of a pulse that is emitted from a point source. The layered medium is modeled by a smooth reference background modulated by fast random small-scale variations. Using asymptotic methods, we arrive to the O'Doherty-Anstey (ODA) formula which describes the coherent part of the pulse in a deterministic expression up to a small random time correction. An application on time-reversal is presented, where a pulse is sent through the medium, recorded in a small window, time-reversed, and then sent back towards the source. The striking phenomenon of enhanced refocusing occurs, where the randomness in the medium actually improves the spatial refocusing around the initial source.
dc.format.extent50 p.en_US
dc.format.mimetypeapplication/pdf
dc.identifier.callnoTHESIS MATH.SCI. 2005 GONZALEZ
dc.identifier.citationGonzalez del Cueto, Fernando. "Wave propagation in randomly layered media with an application to time reversal." (2005) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/17785">https://hdl.handle.net/1911/17785</a>.
dc.identifier.urihttps://hdl.handle.net/1911/17785
dc.language.isoeng
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.
dc.subjectMathematics
dc.titleWave propagation in randomly layered media with an application to time reversal
dc.typeThesis
dc.type.materialText
thesis.degree.departmentMathematical Sciences
thesis.degree.disciplineEngineering
thesis.degree.grantorRice University
thesis.degree.levelMasters
thesis.degree.nameMaster of Arts
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