Diffraction by a transparent wedge with resistive faces with the parabolic equation method

The problem of the two-dimensional (2D) scattering from a transparent wedge with thin resistive faces is treated by the parabolic equation (PE) method in conjunction with the finite difference (FD) method. The solution is valid in the high-frequency region. Some interesting features of the PE method, which have not been deeply investigated before, especially concerning the stability of the solution, are also addressed.