Wiener-Hopf analysis of symmetrical diffraction problems for open-ended cylindrical waveguide cavities

The analysis of the scattering by open-ended metallic waveguide cavities has received much attention in connection with the prediction and reduction of the radar cross section (RCS) of a target. This problem serves as a simple model of duct structures such as jet engine intakes of an aircraft and cracks occurring on surfaces of general complicated bodies. Kobayashi and Sawai (1992) considered a two-dimensional cavity formed by a finite parallel-plate waveguide with a planar termination at the open end and solved the plane wave diffraction problem rigorously using the Wiener-Hopf technique. We consider a corresponding cylindrical waveguide cavity as a generalisation to the previous cavity geometry, and analyze the axial symmetric diffraction problem by means of the Wiener-Hopf technique. The method of solution is similar to that we have employed for the analysis of the parallel-plate waveguide cavity, but is more complicated because of the cylindrical geometry