Imaging in cluttered acoustic waveguides

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dc.contributor.advisorBorcea, Lilianaen_US
dc.creatorIssa, Leilaen_US
dc.date.accessioned2018-12-03T18:31:13Zen_US
dc.date.available2018-12-03T18:31:13Zen_US
dc.date.issued2008en_US
dc.description.abstractWe 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.en_US
dc.format.extent56 ppen_US
dc.identifier.callnoTHESIS MATH.SCI. 2008 ISSAen_US
dc.identifier.citationIssa, Leila. "Imaging in cluttered acoustic waveguides." (2008) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/103532">https://hdl.handle.net/1911/103532</a>.en_US
dc.identifier.digital304507748en_US
dc.identifier.urihttps://hdl.handle.net/1911/103532en_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.subjectAcousticsen_US
dc.subjectPure sciencesen_US
dc.titleImaging in cluttered acoustic waveguidesen_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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