Analytical and numerical solution to the two-potential Zakharov-Shabat inverse scattering problem

Frangos Panayiotis, V; Jaggard Dwight, L

dc.contributor.author	Frangos Panayiotis, V	en
dc.contributor.author	Jaggard Dwight, L	en
dc.date.accessioned	2014-03-01T01:08:39Z
dc.date.available	2014-03-01T01:08:39Z
dc.date.issued	1992	en
dc.identifier.issn	0018-926X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10638
dc.subject	Analytical Method	en
dc.subject	Differential Operators	en
dc.subject	Integral Equation	en
dc.subject	Inverse Scattering Problem	en
dc.subject	Linear Differential Equation	en
dc.subject	Numerical Method	en
dc.subject	Numerical Solution	en
dc.subject	Reflection Coefficient	en
dc.subject	Transmission Line	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.classification	Telecommunications	en
dc.subject.other	Electric Networks - Transmission Line Theory	en
dc.subject.other	Mathematical Techniques - Integral Equations	en
dc.subject.other	Differential Operators	en
dc.subject.other	GLM Integral Equations	en
dc.subject.other	Inverse Scattering Problem	en
dc.subject.other	Nonuniform Transmission Line	en
dc.subject.other	Electromagnetic Waves	en
dc.title	Analytical and numerical solution to the two-potential Zakharov-Shabat inverse scattering problem	en
heal.type	journalArticle	en
heal.identifier.primary	10.1109/8.138841	en
heal.identifier.secondary	http://dx.doi.org/10.1109/8.138841	en
heal.language	English	en
heal.publicationDate	1992	en
heal.abstract	An analytical and a numerical method are presented in order to solve the inverse scattering problem (ISP) associated with the two-potential Zakharov-Shabat (ZS) coupled mode equations. The numerical solution, which uses leapfrogging in space and time, represents a direct numerical solution to the coupled Gel'fand-Levitan-Marchenko (GLM) integral equations, as an extension of the authors' previous work on GLM equations of simpler form. The analytical method, which is applied here for one-pole reflection coefficients, consists in constructing appropriate differential operators which transform the coupled GLM equations to ordinary linear differential equations. Finally, an application of these methods for nonuniform transmission line synthesis is presented.	en
heal.publisher	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC	en
heal.journalName	IEEE Transactions on Antennas and Propagation	en
dc.identifier.doi	10.1109/8.138841	en
dc.identifier.isi	ISI:A1992HW46100006	en
dc.identifier.volume	40	en
dc.identifier.issue	4	en
dc.identifier.spage	399	en
dc.identifier.epage	404	en