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

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dc.contributor.advisorBorcea, Lilianaen_US
dc.creatorGonzalez del Cueto, Fernandoen_US
dc.date.accessioned2009-06-04T08:01:33Zen_US
dc.date.available2009-06-04T08:01:33Zen_US
dc.date.issued2005en_US
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.en_US
dc.format.extent50 p.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.callnoTHESIS MATH.SCI. 2005 GONZALEZen_US
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>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/17785en_US
dc.language.isoengen_US
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.en_US
dc.subjectMathematicsen_US
dc.titleWave propagation in randomly layered media with an application to time reversalen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMathematical Sciencesen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Artsen_US
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