Diffraction of a plane wave by a transparent wedge Zommerfeld - Malyuzhinetz approach

We consider a time-harmonic diffraction of a plane wave by a transparent wedge of an arbitrary opening by the Sommerfeld-Malyuzhinets approach, see e.g. [1]. The wave propagation velocities inside the wedge and outside are equal. An explicit solution is presented, which is studied asymptotically.