Title :
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
fDate :
6/1/2002 12:00:00 AM
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;
Journal_Title :
Antennas and Propagation, IEEE Transactions on
DOI :
10.1109/TAP.2002.1017660
