Asymptotic solution for the diffraction of an electromagnetic plane wave by a cylinder-tipped half-plane

The far-field asymptotic solution for the diffraction of an electromagnetic plane wave by a cylinder-tipped half-plane is derived from the direct solution. It is demonstrated that the Fresnel diffraction plays an important role in the transition regions where the solution of the geometrical theory of diffraction fails. The asymptotic solution not only simplifies the numerical calculations but also gives a physical model of the exact solution