Wave diffraction

Wave diffraction is the phenomenon that solutions of the wave equation when they meet an corner of their domain (or some other form of conic singularity). A singularity of the wave equation that hits the corner will produce an outgoing circular wave emanating from the corner. This phenomenon has been studied for well over 100 years, but surprisingly, there are still things remaining to be proved about diffraction on a domain as simple as a planar wedge.

The idea of this project would be to try to relate the outgoing wave emanating from the corner to properties of the incoming wave and and the link (ie circular cross-section) of the corner.