Derivation of an 'Inverse Lienard-Wiechert Effect' From the Lorentz Force and Its Application to the Wireless Power Transfer.

Abstract

Abstract-Our work investigates the well-known Lorentz formula (in its original form) for the EM force. It allows the prediction of one effect of the action of the EM force on a moving charge. We use this effect to explain Tesla's mechanism of wireless power transfer between resonant coils.

On Solution for the Longitudinal Electromagnetic Waves Derived From the Jefimenko Wave Equation and Its Application to Wireless Power Transfer

“…A dependence of the form (12) could explain the behavior of the power decay with the distance in [1]. But first we should consider if the conditions of radiation of such a longitudinal component, i.e., traveling of the charged object in a straight line with constant velocity during some period of time, are realized in the experiment described in [1].…”

“…An experiment repeating one of the famous Tesla's experiments is reported in [1]. According to this work, high level of transferred power P tr at a distance to 15 meters detected in the secondary coil is caused by specific mechanism of amplification of the current in this coil, so called 'inverse Liénard-Wiechert effect' considered in [1] too.…”

“…Figure 1. Schematic drawing of the coil alignment in experiments of [1]. The sections of the primary coil, where the current pulses radiate the far longitudinal field, are marked.…”

“…According to this work, high level of transferred power P tr at a distance to 15 meters detected in the secondary coil is caused by specific mechanism of amplification of the current in this coil, so called 'inverse Liénard-Wiechert effect' considered in [1] too. But this mechanism is not sufficient to explain an experimentally detected dependence of P tr on the distance R between the coils (Table 2 of [1]).…”

“…According to this work, high level of transferred power P tr at a distance to 15 meters detected in the secondary coil is caused by specific mechanism of amplification of the current in this coil, so called 'inverse Liénard-Wiechert effect' considered in [1] too. But this mechanism is not sufficient to explain an experimentally detected dependence of P tr on the distance R between the coils (Table 2 of [1]). This dependence allows one to state that propagation of the power between the coils cannot be described by dependence of the longitudinal component in the near zone of the antenna E 1/R 2 , even with consideration of the finite size of the radiating coil.…”