Diffraction of plane electromagnetic waves by a radially conducting conical surface

The Kontorovich-Lebedev integral transformation is used to obtain a rigorous solution to the boundary value problem for the diffraction of plane electromagnetic waves by a radially conducting conical surface. Elementary-function representations are obtained for Debye potentials of the transmitted field as well as the field reflected from the surface. It is found that a part of the incident plane wave, corresponding to TE modes, passes through the surface without distortion, whereas another part, corresponding to TM modes, is reflected as from an ideally conducting surface.