On the diffraction of an arbitrary pulse by a wedge or a cone

By virtue of Green’s Theorem, it is shown that for the diffraction of an arbitrary two-dimensional incident pulse by a wedge of angle $\mu$, the ratio of the resultant velocity potential to the corresponding value of the incident pulse at the corner of the wedge at any instant is equal to $2\pi /(2\pi - \mu )$; and that for the diffraction of a three-dimensional pulse by a cone of solid angle $\omega$, the ratio at the vertex of the cone is equal to $4\pi /(4\pi - \omega )$.