Inverse scattering in 1-D nonhomogeneous media and recovery of the wave speed

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dc.contributorVirginia Techen
dc.contributor.authorAktosun, T.en
dc.contributor.authorKlaus, Martinen
dc.contributor.authorvan der Mee, Cornelisen
dc.contributor.departmentMathematicsen
dc.date.accessed2014-03-20en
dc.date.accessioned2014-04-09T18:12:20Zen
dc.date.available2014-04-09T18:12:20Zen
dc.date.issued1992-04en
dc.description.abstractThe inverse scattering problem for the 1-D Schrodinger equation d2-psi/dx2 + k2-psi = k2P(x)psi + Q(x)psi is studied. This equation is equivalent to the 1-D wave equation with speed 1/ square-root 1 - P(x) in a nonhomogeneous medium where Q(x) acts as a restoring force. When Q(x) is integrable with a finite first moment, P(x) < 1 and bounded below and satisfies two integrability conditions, P(x) is recovered uniquely when the scattering data and Q(x) are known. Some explicitly solved examples are provided.en
dc.description.sponsorshipNSF DMS 9096268en
dc.identifier.citationAktosun, T.; Klaus, M.; Vandermee, C., "Inverse scattering in 1-D nonhomogeneous media and recovery of the wave speed," J. Math. Phys. 33, 1395 (1992); http://dx.doi.org/10.1063/1.529714en
dc.identifier.doihttps://doi.org/10.1063/1.529714en
dc.identifier.issn0022-2488en
dc.identifier.urihttp://hdl.handle.net/10919/47052en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jmp/33/4/10.1063/1.529714en
dc.language.isoen_USen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectinverse scatteringen
dc.subjectwave equationsen
dc.titleInverse scattering in 1-D nonhomogeneous media and recovery of the wave speeden
dc.title.serialJournal of Mathematical Physicsen
dc.typeArticle - Refereeden

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