dc.contributor.author Frolik, Jeffrey L. en_US dc.contributor.author Yagle, Andrew E. en_US dc.date.accessioned 2006-12-19T19:14:31Z dc.date.available 2006-12-19T19:14:31Z dc.date.issued 1996-12-01 en_US dc.identifier.citation Frolik, Jeffrey L; Yagle, Andrew E (1996). "A discrete-time formulation for the variable wave speed scattering problem in two dimensions ." Inverse Problems. 12(6): 909-924. en_US dc.identifier.issn 0266-5611 en_US dc.identifier.uri https://hdl.handle.net/2027.42/49100 dc.description.abstract Motivated by electromagnetic wave propagation in media where permittivity varies in two dimensions, we address the problem of wave scattering for two-dimensional (2D) media having variable speed. Wave speed variations are shown to produce scattering which can be represented in terms of a Schrödinger scattering potential. The wave equation problem is thus reformulated as a Schrödinger equation inverse potential problem, with a variable wave speed. Throughout it is assumed that wave speed varies smoothly and slowly such that a finite-difference approximation is valid, defining a discrete inverse scattering problem. For this discrete problem, we define an equivalent medium on a variable-mesh grid for which the wave speed is constant throughout, yet the equivalent medium has the same scattering response as the actual variable wave speed medium. Going from actual to equivalent medium entails spatially warping the medium, while going from equivalent to actual entails spatial dewarping. The discrete-time forward and inverse scattering problems are then formulated and solved using the equivalent medium. A numerical example illustrating the introduced concepts is presented. en_US dc.format.extent 3118 bytes dc.format.extent 634568 bytes dc.format.mimetype text/plain dc.format.mimetype application/pdf dc.language.iso en_US dc.publisher IOP Publishing Ltd en_US dc.title A discrete-time formulation for the variable wave speed scattering problem in two dimensions en_US dc.type Article en_US dc.subject.hlbsecondlevel Physics en_US dc.subject.hlbtoplevel Science en_US dc.description.peerreviewed Peer Reviewed en_US dc.contributor.affiliationum Department of Electrical Engineering and Computer Science, The University of Michigan, Ann Arbor, MI 48109-2122, USA en_US dc.contributor.affiliationum Department of Electrical Engineering and Computer Science, The University of Michigan, Ann Arbor, MI 48109-2122, USA en_US dc.contributor.affiliationumcampus Ann Arbor en_US dc.description.bitstreamurl http://deepblue.lib.umich.edu/bitstream/2027.42/49100/2/ip6606.pdf en_US dc.identifier.doi http://dx.doi.org/10.1088/0266-5611/12/6/007 en_US dc.identifier.source Inverse Problems. en_US dc.owningcollname Interdisciplinary and Peer-Reviewed
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