Diffraction by a quarter plane, the exact solution, and some numerical results

The exact solution for diffraction by a perfectly conducting quarter plane has been previously determined. This solution is general and needs some simplification before it can become a useful tool for diffraction studies. A tractable approximation to be used in the "Geometrical theory of diffraction" is being sought. This paper presents the first step in that direction. It presents the exact solution and some numerical results for a few special cases. The numerical results are the far field patterns for an infinitesimal dipole source located on the quarter plane and very close to the tip. These numerical results are directly applicable to the finite ground plane problem.