Scattering of high-frequency waves by perfectly conducting rectangular cylinders

In a previous paper by Mei and Van Bladel, the authors calculated the surface current densities on rectangular cylindrical obstacles when they were illuminated by plane waves. Many interesting results were observed at high frequencies. The present paper is the application of the geometric theory of diffraction in the interpretation of the high-frequency phenomena. The occurrences of resonances in the obstacles are explained. The diffracted fields contributed by the corners are shown to be much weaker than was to be expected. The total scattering cross-sections of rectangular cylinders are discussed.