A Bidirectional Traveling Plane-Wave Representation Of Exact-Solutions Of The Scalar Wave-Equation

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dc.contributorVirginia Techen
dc.contributor.authorBesieris, Ioannis M.en
dc.contributor.authorShaarawi, Amr M.en
dc.contributor.authorZiolkowski, R. W.en
dc.contributor.departmentElectrical and Computer Engineeringen
dc.date.accessed2014-03-20en
dc.date.accessioned2014-04-09T18:12:14Zen
dc.date.available2014-04-09T18:12:14Zen
dc.date.issued1989-06-01en
dc.description.abstractA new decomposition of exact solutions to the scalar wave equation into bidirectional, forward and backward, traveling plane wave solutions is described. The resulting representation is a natural basis for synthesizing pulse solutions that can be tailored to give directed energy transfer in space. The development of known free_space solutions, such as the focus wave modes, the electromagnetic directed energy pulse trains, the spinor splash pulses, and the Bessel beams, in terms of this decomposition will be given. The efficacy of this representation in geometries with boundaries, such as a propagation in a circular waveguide, will also be demonstrated.en
dc.description.sponsorshipU.S. Dept of Energy W-7405-ENG-48en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationBesieris, I. M.; Shaarawi, A. M.; Ziolkowski, R. W., "a bidirectional traveling plane-wave representation of exact-solutions of the scalar wave-equation," J. Math. Phys. 30, 1254 (1989); http://dx.doi.org/10.1063/1.528301en
dc.identifier.doihttps://doi.org/10.1063/1.528301en
dc.identifier.issn0022-2488en
dc.identifier.urihttp://hdl.handle.net/10919/47018en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jmp/30/6/10.1063/1.528301en
dc.language.isoenen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectExact solutionsen
dc.subjectWave equationsen
dc.subjectElectromagnetic wave propagationen
dc.subjectEnergy transferen
dc.subjectSpin wavesen
dc.titleA Bidirectional Traveling Plane-Wave Representation Of Exact-Solutions Of The Scalar Wave-Equationen
dc.title.serialJournal of Mathematical Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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