The problem of the scattering by two parallel conducting rectangular cylinders has been rigorously analyzed by the Wiener-Hopf technique. The incident wave is an E-polarized plane wave. Since the field in the region between the two cylinders can be expressed in an expansion in terms of guided modal wave functions, the scattered field from cylinders in close proximity can be accurately calculated. The numerical results of the scattering pattern and the scattering cross section are graphically presented and compared with results found in the literature.

This paper presents a rigorous Wiener-Hopf solution to the electromagnetic wave exitation by a waveguide mode, concerning a two-dimensional tunnel which might be the most simplified model of a rectangular tunnel. Surface impedance boundaries are assumed on the walls of tunnels surrounded by lossy dielectric materials, such as concrete, rock and others. A microwave simulation is also performed to determine whether the assumption used in the theory is good or not. From comparison of experimental results with theoretical ones, it is shown that the surface impedance model is an excellent approximation especially for tunnels of which dimensions are not so large compared with the wave length in the free space.

We have analyzed the electromagnetic field with the aid of the method of mode matching in the case that the conducting screen is placed on an infinite conducting plane and that the electric or magnetic line source is set in the neighbourhood of the screen. We have revealed numerically the effects of the screen on the radiation patterns and the equi-amplitude contours of the field in the vicinity of the screen and line source.

Scattering problem of an electromagnetic beam wave by rectangular grooves on a perfect conductor is rigorously analyzed. The numerical examples of the far field patterns are presented for some parameters such as the number and the depth of grooves.