A numerical solution to the Zakharov-Shabat inverse scattering problem

Author

Frangos, Panayiotis V. ; Jaggard, Dwight L.

Author_Institution

Dept. of Electr. Eng., Nat. Tech. Univ. of Athens, Greece

Volume

39

Issue

1

fYear

1991

fDate

1/1/1991 12:00:00 AM

Firstpage

74

Lastpage

79

Abstract

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

Keywords

electromagnetic wave scattering; integral equations; EM wave scattering; Zakharov-Shabat inverse scattering problem; accuracy; bound states; codirectional coupling; contradirectional coupling; coupled mode equations; coupling coefficient; numerical solution; propagating modes; reflection data; Differential equations; Inverse problems; Kernel; Nonlinear equations; Optical coupling; Optical filters; Optical reflection; Optical scattering; Optical waveguides; Schrodinger equation;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.64438

Filename

64438