Abstract
On the generation of higher harmonics in the ionosphere: This paper continues previous studies on the propagation of plane electromagnetic waves in an inhomogeneous medium with plane statification. Near a zero of the dielectric constant, the electric field-component parallel to the plane of incidence shows a singularity, and it becomes infinite if the damping vanishes. While, for the vicinity of a simple zero, that fact can be proved only by developments into power-series, the case of a double zero allows to derive the singularities by a solution of Maxwells equations in terms of known functions. The singularity, thus stated, causes the generation of higher harmonics not radiated by the transmitter.
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