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

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

Frangos Panayiotis, V
(EN)

Jaggard Dwight, L
(EN)

N/A
(EN)

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)

journalArticle

Nonuniform Transmission Line
(EN)

Differential Operators
(EN)

Numerical Method
(EN)

Mathematical Techniques - Integral Equations
(EN)

Reflection Coefficient
(EN)

Inverse Scattering Problem
(EN)

Transmission Line
(EN)

Linear Differential Equation
(EN)

Analytical Method
(EN)

Numerical Solution
(EN)

Electromagnetic Waves
(EN)

Integral Equation
(EN)

GLM Integral Equations
(EN)

Electric Networks - Transmission Line Theory
(EN)

Εθνικό Μετσόβιο Πολυτεχνείο
(EL)

National Technical University of Athens
(EN)

IEEE Transactions on Antennas and Propagation
(EN)

1992

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
(EN)

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