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dc.contributor.advisor Borcea, Liliana
dc.creatorIssa, Leila
dc.date.accessioned 2018-12-03T18:31:13Z
dc.date.available 2018-12-03T18:31:13Z
dc.date.issued 2008
dc.identifier.urihttps://hdl.handle.net/1911/103532
dc.description.abstract We consider an inverse problem for the acoustic scalar wave equation in a cluttered waveguide. The problem is to find the location of sources or scatterers, given measurements of the pressure at a remote array of transducers. The sound speed in the waveguide fluctuates rapidly due to the presence of small inhomogeneities. These fluctuations, not known in detail, are viewed as clutter and modeled as a random process. We consider the regime of weak fluctuations, O (ε), whose effect on the wave-field accumulates after long propagation distances, O (1/ε 2 ). This recorded field is backpropagated using the homogeneous Green's function to search points where an image is formed. The multiple scattering due to clutter may lead to significant loss of coherence in the data, which in turn can cause instability and loss of resolution in the images. Parameters such as frequency band, depth of the waveguide, number of modes and aperture play a major role in the resolution and stability of the resulting images.
dc.format.extent 56 pp
dc.language.iso eng
dc.subjectMathematics
Acoustics
Pure sciences
dc.title Imaging in cluttered acoustic waveguides
dc.identifier.digital 304507748
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Mathematics
thesis.degree.discipline Natural Sciences
thesis.degree.grantor Rice University
thesis.degree.level Masters
thesis.degree.name Master of Arts
dc.identifier.callno THESIS MATH.SCI. 2008 ISSA
dc.identifier.citation Issa, Leila. "Imaging in cluttered acoustic waveguides." (2008) Master’s Thesis, Rice University. https://hdl.handle.net/1911/103532.


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