Inverse scattering: Solution of coupled Gel'fand-Levitan-Marchenko integral equations using successive kernel approximations

Frangos Panayiotis, V; Jaggard Dwight, L

dc.contributor.author	Frangos Panayiotis, V	en
dc.contributor.author	Jaggard Dwight, L	en
dc.date.accessioned	2014-03-01T01:11:09Z
dc.date.available	2014-03-01T01:11:09Z
dc.date.issued	1995	en
dc.identifier.issn	0018-926X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11561
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.classification	Telecommunications	en
dc.subject.other	Approximation theory	en
dc.subject.other	Dielectric materials	en
dc.subject.other	Integral equations	en
dc.subject.other	Inverse problems	en
dc.subject.other	Mathematical models	en
dc.subject.other	Numerical analysis	en
dc.subject.other	Transmission line theory	en
dc.subject.other	Waveguides	en
dc.subject.other	Coupled Gel'fand-Levitan-Marchenko integral equations	en
dc.subject.other	Successive kernel approximations	en
dc.subject.other	Electromagnetic wave scattering	en
dc.title	Inverse scattering: Solution of coupled Gel'fand-Levitan-Marchenko integral equations using successive kernel approximations	en
heal.type	journalArticle	en
heal.identifier.primary	10.1109/8.387169	en
heal.identifier.secondary	http://dx.doi.org/10.1109/8.387169	en
heal.language	English	en
heal.publicationDate	1995	en
heal.abstract	We develop a method of successive kernel approximations to solve coupled Gel'fand-Levitan-Marchenko (GLM) integral equations, These equations appear in the synthesis problem of nonuniform and lossy transmission lines, the inversion of absorbing dielectrics and wavenumber-dependent potentials, the design of corrugated waveguide filters, soliton theory, and other applications, We find that our method is easy to apply, more accurate than previously developed methods, and can be used for a larger number of applications when compared to prior work, As an application and example, wavenumber- dependent potentials are reconstructed from scattering data.	en
heal.publisher	IEEE, Piscataway, NJ, United States	en
heal.journalName	IEEE Transactions on Antennas and Propagation	en
dc.identifier.doi	10.1109/8.387169	en
dc.identifier.isi	ISI:A1995RB97500001	en
dc.identifier.volume	43	en
dc.identifier.issue	6	en
dc.identifier.spage	547	en
dc.identifier.epage	552	en