Edge diffraction of creeping rays

S. J. Chapman, J. R. Ockendon & V. H. Saward

Explicit formulae are derived for waves modelled by the scalar two-dimensional Helmholtz equation for the field that is diffracted when surface creeping rays encounter an infinitely sharp edge. Both Neumann and Dirichlet boundary conditions are analysed, and the diffracted field is found to be an order of magnitude smaller in the latter case.