Modeling of Tesla’s transmitter using the wire antenna theory with ground effects included

According Tesla’s idea his magnifying transmitter has been designed not only to efficiently emit Hertzian waves, but also to transmit power at large distances. Analysis of Tesla’s transmitter by using the wire antenna theory and reflection coefficient approximation is carried out in this work. The radiating part of the Tesla’s transmitter is represented by an equivalent monopole antenna driven by an ideal current source thus replacing the Tesla’s transformer. The frequency domain formulation is based on a homogeneous Pocklington integro-differential equation. The ground effects are taken into account via the corresponding reflection coefficient appearing within the integral equation kernel. Solving the Pocklington equation via the Galerkin Bubnov variant of the Indirect Boundary Element Method (GB-IBEM) the current distribution along the monopole antenna is assessed. Knowing the current distribution along the vertical monopole the radiated electric field is obtained by integrating the induced current. Numerical results for the monopole current and the related irradiated field are presented in the paper. The case studies of free space, perfect ground and imperfectly conducting half-space have been considered. This paper should be regarded as an extension of the previous work on the subject.