Electromagnetic Scattering of a Dipole-Field by an Impedance Wedge, Part I: Far-Field Space Waves

This paper consists of two parts and deals with the scattering of the wave-field generated by a Hertzian dipole placed over an impedance wedge. Expanding the dipole field into plane waves and extending to complex “angles of incidence” our recently obtained exact solution of the diffraction of a skew-incident plane wave by an impedance wedge enables us to give an integral representation for the total field. Then by means of asymptotic evaluation of the multiple integral far-field expressions are developed and interpreted. In the present first part (I) of the paper formulation and basic steps of analysis are presented. In particular, the far-field expressions for the reflected and edge waves, including the UAT (uniform asymptotic theory of diffraction) version of the far-field representation, are given. Both numerical computation and physical explanation of the analytic results have been performed. The forthcoming second part (II) of the work will be dedicated to the study of different surface waves excited, as well as to their physical interpretation and numerical calculation.