Direct and inverse medium scattering in a three-dimensional homogeneous planar waveguide

Arens, T; Gintides, D; Lechleiter, A

dc.contributor.author	Arens, T	en
dc.contributor.author	Gintides, D	en
dc.contributor.author	Lechleiter, A	en
dc.date.accessioned	2014-03-01T01:35:31Z
dc.date.available	2014-03-01T01:35:31Z
dc.date.issued	2011	en
dc.identifier.issn	0036-1399	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21094
dc.subject	Inverse scattering	en
dc.subject	Scattering	en
dc.subject	Waveguide	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Direct waves	en
dc.subject.other	Energy loss	en
dc.subject.other	Evanescent mode	en
dc.subject.other	Factorization methods	en
dc.subject.other	Free space	en
dc.subject.other	Geometry features	en
dc.subject.other	Incident fields	en
dc.subject.other	Inverse medium scattering	en
dc.subject.other	Inverse scattering	en
dc.subject.other	Inverse scattering problems	en
dc.subject.other	Inversion methods	en
dc.subject.other	Limited aperture	en
dc.subject.other	Near-field	en
dc.subject.other	Numerical example	en
dc.subject.other	Planar geometries	en
dc.subject.other	Point sources	en
dc.subject.other	Resonance frequencies	en
dc.subject.other	Theoretical result	en
dc.subject.other	Three-dimensional waveguides	en
dc.subject.other	Time-harmonic	en
dc.subject.other	Wavefields	en
dc.subject.other	Acoustics	en
dc.subject.other	Diffractive optics	en
dc.subject.other	Energy dissipation	en
dc.subject.other	Geometry	en
dc.subject.other	Helmholtz equation	en
dc.subject.other	Inverse problems	en
dc.subject.other	Planar waveguides	en
dc.subject.other	Resonance	en
dc.subject.other	Three dimensional	en
dc.subject.other	Acoustic wave scattering	en
dc.title	Direct and inverse medium scattering in a three-dimensional homogeneous planar waveguide	en
heal.type	journalArticle	en
heal.identifier.primary	10.1137/100806333	en
heal.identifier.secondary	http://dx.doi.org/10.1137/100806333	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	Time-harmonic acoustic waves in an ocean o f finite height are modeled by the Helmholtz equation inside a layer with suitable boundary conditions. Scattering in this geometry features phenomena unknown in free space: resonances might occur at special frequencies, and wave fields consist of partly evanescent modes. Inverse scattering in waveguides hence needs to cope with energy loss and limited aperture data due to the planar geometry. In this paper, we analyze direct wave scattering in a three-dimensional planar waveguide and show that resonance frequencies do not exist for a certain class of bounded penetrable scatterers. More important, we propose the factorization method for solving inverse scattering problems in the three-dimensional waveguide. This fast inversion method requires near-field data for special incident fields, and we rigorously show how to generate this data from standard point sources. Finally, we discuss our theoretical results in light of numerical examples. © 2011 Society for Industrial and Applied Mathematics.	en
heal.publisher	SIAM PUBLICATIONS	en
heal.journalName	SIAM Journal on Applied Mathematics	en
dc.identifier.doi	10.1137/100806333	en
dc.identifier.isi	ISI:000291870200006	en
dc.identifier.volume	71	en
dc.identifier.issue	3	en
dc.identifier.spage	753	en
dc.identifier.epage	772	en