Features of Propagation of Standing Electromagnetic and Electron Waves in a Metallic Conductor with Alternating Conduction Current

Approximate calculations were made to identify the main features of the propagation of standing transverse electromagnetic waves (EMWs) and standing longitudinal de Broglie electron waves in a homogeneous non-massive non-magnetic metallic conductor of finite dimensions (radius r₀ and length l₀ ⪢ r₀) with axial alternative conduction current i₀(t) of different amplitude–time parameters. Relations were obtained for the calculation estimation of averaged propagation velocities of standing transverse EMWs and standing longitudinal de Broglie electron waves in the metal (alloy) of the specified conductor. It was demonstrated that quantized standing transverse EMWs emerging in the finite-sized metallic conductor significantly differ from ordinary transverse EMWs propagating in conducting media of unlimited dimensions. An important characteristic of the standing transverse EMWs in the considered conductor is that their axial electric field intensity leads in phase their azimuthal magnetic field intensity by an angle of π/2. It was found that, in the standing transverse EMWs in the investigated conductor, the energy of the electric field is only converted into the energy of their magnetic field and vice versa. Therefore, the standing transverse EMWs do not transfer electromagnetic energy fluxes along the metal (alloy) of the considered conductor.