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A comparison and study of the Born and Rytov expansions

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dc.contributor.authorBruce, Matthew F.en
dc.contributor.committeechairde Wolf, David A.en
dc.contributor.committeememberBesieris, Ioannis M.en
dc.contributor.committeememberKohler, Werner E.en
dc.contributor.departmentElectrical Engineeringen
dc.date.accessioned2014-03-14T21:49:24Zen
dc.date.adate2009-11-10en
dc.date.available2014-03-14T21:49:24Zen
dc.date.issued1993-08-19en
dc.date.rdate2009-11-10en
dc.date.sdate2009-11-10en
dc.description.abstractSince the introduction of the Born and Rytov approximations for use in random wave propagation some forty years ago, a controversy has boiled over the regions of validity and relative merits of the methods. Although the methods fail for strong fluctuations and distant path lengths, these two perturbation methods are the only approaches available for weak fluctuations in a random in homogeneous media. The approximations have also been applied to the inverse problem for optical and acoustical tomography. The intent of this thesis is to investigate the work of previous authors and attempt to clarify the distinctions of each method. The conclusion will be reached that neither approximation is necessarily better than the other in general for all applications. A careful consideration of the problem following the points given should point towards the use of one approximation over the other.en
dc.description.degreeMaster of Scienceen
dc.format.extentviii, 133 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-11102009-020128en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-11102009-020128/en
dc.identifier.urihttp://hdl.handle.net/10919/45603en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V855_1993.B779.pdfen
dc.relation.isformatofOCLC# 29323422en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1993.B779en
dc.subject.lcshApproximation theoryen
dc.subject.lcshBorn approximationen
dc.subject.lcshWaves -- Mathematical modelsen
dc.titleA comparison and study of the Born and Rytov expansionsen
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineElectrical Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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