An efficient algorithm for solving Zakharov-Shabat inverse scattering problem

Author

Xiao, Gaobiao ; Yashiro, Ken´ichiro

Author_Institution

Graduate Sch. of Sci. & Technol., Chiba Univ., Japan

Volume

50

Issue

6

fYear

2002

fDate

6/1/2002 12:00:00 AM

Firstpage

807

Lastpage

811

Abstract

An efficient numerical method for solving Zakharov-Shabat (ZS) inverse scattering problem is presented. In this method, instead of equivalent second-order differential equations to the Gel´fand-Levitan-Marchenko (GLM)-type integral equations, equivalent first-order differential equations are adopted and sufficiently accurate solutions to Zakharov-Shabat inverse problem can be achieved without iterations. Examples for applying it to design nonuniform transmission line (NTL) filters are also provided

Keywords

differential equations; electromagnetic wave scattering; integral equations; inverse problems; passive filters; transmission lines; Gel´fand-Levitan-Marchenko-type integral equations; Zakharov-Shabat inverse scattering problem; efficient algorithm; efficient numerical method; filter design; first-order differential equations; nonuniform transmission line filters; Couplings; Differential equations; Distributed parameter circuits; Filters; Integral equations; Inverse problems; Kernel; Reflection; Scattering; Transmission lines;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2002.1017660

Filename

1017660