Diffraction by a convex polygon with side-wise constant impedance

The recently developed probabilistic approach to wave propagation and diffraction is applied to the two-dimensional problem of diffraction by an arbitrary convex polygon with side-wise constant impedance boundary conditions. Surprisingly, the new method provides a rigorous solution which is simple, transparent and complimentary to the ray approximation. It is easy to implement and it is compatible with intuitive ideas about diffraction. The numerical examples confirm the feasibility of the solution.