A numerical solution to the Zakharov-Shabat inverse scattering problem

A numerical solution to the Zakharov-Shabat inverse scattering problem

A novel numerical method to solve the inverse scattering problem associated with the Zakharov-Shabat coupled mode equations is developed. In this problem the coupling coefficient for two propagating modes is determined from reflection data. Both codirectional and contradirectional coupling can be ac...

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Veröffentlicht in:IEEE transactions on antennas and propagation 1991-01, Vol.39 (1), p.74-79
Hauptverfasser: Frangos, P.V., Jaggard, D.L.
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Differential equations
Diffraction, scattering, reflection
Exact sciences and technology
Inverse problems
Kernel
Nonlinear equations
Optical coupling
Optical filters
Optical reflection
Optical scattering
Optical waveguides
Radiocommunications
Radiowave propagation
Schrodinger equation
Telecommunications
Telecommunications and information theory
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Beschreibung
Zusammenfassung:A novel numerical method to solve the inverse scattering problem associated with the Zakharov-Shabat coupled mode equations is developed. In this problem the coupling coefficient for two propagating modes is determined from reflection data. Both codirectional and contradirectional coupling can be accommodated as well as the presence of bound states. Analytical results based on an independent analytical method are derived in order to demonstrate the accuracy of the proposed method, which is applicable to a broad class of reflection data.< >
ISSN:0018-926X
1558-2221
DOI:10.1109/8.64438