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

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    Author
    Gonzalez del Cueto, Fernando
    Date
    2005
    Advisor
    Borcea, Liliana
    Degree
    Master of Arts
    Abstract
    We 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.
    Keyword
    Mathematics
    Citation
    Gonzalez del Cueto, Fernando. "Wave propagation in randomly layered media with an application to time reversal." (2005) Master’s Thesis, Rice University. http://hdl.handle.net/1911/17785.
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    Managed by the Digital Scholarship Services at Fondren Library, Rice University
    Physical Address: 6100 Main Street, Houston, Texas 77005
    Mailing Address: MS-44, P.O.BOX 1892, Houston, Texas 77251-1892