Diffraction of a plane wave by a transparent wedge. Numerical approach

We consider a 2D scalar problem of diffraction of a plane wave by a transparent wedge. We seek the solution as a sum of single layer potentials (see also [1]) which allows us to reduce the problem to a system of integral equations. This system is solved numerically. Numerical solution allows us to obtain diffraction coefficients of the wave scattered by the vertex. As compared to the earlier work [2], (where a much simpler case was considered when both sides of the wedge were illuminated by a plane wave) we remove a number of limitations and consider a more general case. Nevertheless, some restrictions on the conditions still remain. The wave velocity in the inner area must be greater than the wave velocity outside.