Calculation of waves scattered in irregular waveguides

Wave scattering problems in irregular waveguides are investigated. The proposed algorithm for solving such problems is based on the reduction of the scattering problem to an interior boundary value problem in the irregular section. This problem is solved in general form by the boundary integral equation method and then the solutions in regular and irregular sections are matched. The scalar Dirichlet problem with excitation by a wave, incident from infinity, is considered. The approach is applied to a test problem and numerical results are compared with the ones obtained by the cross section method.