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Modeling of Tesla's Transmitter using the Antenna Theory Approach

Mathematical model of the radiation from Tesla's transmitter [1], [2] is proposed in this work. The radiating part of the Tesla's transmitter is represented by an equivalent monopole antenna which is end-driven via ideal current source replacing the Tesla's transformer. The formulation is based on the wire antenna theory and homogeneous Pocklington integro-differential equation in the frequency domain [3]. Solving the Pocklington equation numerically via the Galerkin Bubnov variant of the Indirect Boundary Element Method (GB-IBEM) [4] the current distribution along the equivalent monopole antenna is obtained. Knowing the current distribution on the antenna the radiated electric field is readily obained integrating the induced current along the wire. Some illustrative computational results for the antenna current and related field is presented in the paper. This work should be regarded as an opener to this subject, i.e. the first step in the full wave model of the Tesla's transmitter. LITERATURA [1] N. Tesla, Art of Transmitting Electrical Energy Through the Natural Mediums, Specification forming part of Patent No. 787, 412, United States Patent Office, April 18, 1905. [2] N. Tesla, My Inventions. V. The Magnifying Transmitter, Electrical Experimenter, June, 1919, pp. 112-113, 148, 173, 176-178. [3] D. Poljak, Electromagnetic Modelling of Wire Antenna Structures, WIT Press, Southampton Boston, 2002. [4] D. Poljak, C.A. Brebbia, Boundary Element methods for Electrical Engimeers, WIT Press, Southampton Boston, 2005.

Tesla's transmitter; monopole antenna; Pocklington equation

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