NUMERICAL PROCEDURE FOR SOLVING THE STRIPrnPROBLEM BY THE SPECTRAL EQUATION

摘要

Recently, a new technique has been proposed by one of the authors for solving diffraction problems belonging to certain class. The class includes 2D problems that can be reduced to propagation problems on branched surfaces by applying the method of images. One of the simplest problems belonging to this class is diffraction by an infinitely thin ideal strip. Within the framework of the new method, a "spectral equation" is derived, which is an ordinary differential equation for the components of the directivity of the scattered field. The coefficients of the spectral equation are known up to several numerical parameters, and these are found by a complicated numerical procedure from the a-priori known monodromy data for the equation. In the current paper the numerical procedure is described and its accuracy and efficiency are analyzed.