Bidirectional and unidirectional spectral representations for the scalar wave equation

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dc.contributor.authorKoutoumbas, Anastasios M.en
dc.contributor.committeechairBesieris, Ioannis M.en
dc.contributor.committeememberBrown, Gary S.en
dc.contributor.committeememberKim, Jong Uhnen
dc.contributor.departmentElectrical Engineeringen
dc.date.accessioned2014-03-14T21:32:48Zen
dc.date.adate2009-04-07en
dc.date.available2014-03-14T21:32:48Zen
dc.date.issued1990-06-13en
dc.date.rdate2009-04-07en
dc.date.sdate2009-04-07en
dc.description.abstractThe Cauchy problem associated with the scalar wave equation in free space is used as a vehicle for a critical examination and assessment of the bidirectional and unidirectional spectral representations. These two novel methods for synthesizing wave signals are distinct from the superposition principle underlying the conventional Fourier method and they can effectively be used to derive a large class of localized solutions to the scalar wave equation. The bidirectional spectral representation is presented as an extension of Brittingham's ansatz and Ziolkowski's Focus Wave Mode spectral representations. On the other hand, the unidirectional spectral representation is motivated through a group-theoretic similarity reduction of the scalar wave equation.en
dc.description.degreeMaster of Scienceen
dc.format.extentv, 47 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-04072009-040420en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-04072009-040420/en
dc.identifier.urihttp://hdl.handle.net/10919/41904en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V855_1990.K687.pdfen
dc.relation.isformatofOCLC# 22403821en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1990.K687en
dc.subject.lcshCauchy problem -- Numerical solutions -- Researchen
dc.titleBidirectional and unidirectional spectral representations for the scalar wave equationen
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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