In this paper firstly we introduce the mathematical forms of one-dimensional grating problem and its inverse problem. Secondly, by choosing proper boundary condi-tions,these problems can be mathematically described by using Helmholtz equations. We put the scattering problem in a bounded space area, transform the inverse problem into an initial value problem, analyze the result theoreatically and then construct a method for solving the inverse scattering problem. Finally, we disccusse the corresponding numerical complemants of computational algorithm. |