PROEILE RECONSTRUCTION FOR PLANAR DIELECTRIC WAVEGUIDE BY USING UNDERRELAXED ITERATIVE METHOD
平面介质波导折射率剖面重建的欠松弛迭代方法

Thenumerical solution of Gel'fand-Levitan-Marchenkoequation for the presence of guidedmodes is studied in this paper.It is found that the solution by using iterative method undergoesdivergence beyond a certain distance because the characteristic function of reflection coefficient whichpossesses poles on the positive imaginary axes in complex k-plane contains exponentially growingterms.In order to overcome this difficuIty we resort to the relaxation technique.The reconstructiondistance is,therefore,efficiently extended by introducing an underrelaxation factor.The reconstructedpotential in inverse scattering can directly be applied to the profile design of dielectric planarwaveguide via the scaling transformation for Schrodinger equation.