Propagation of electromagnetic pulse having a Gaussian envelope in longitudinally inhomogeneous anisotropic ionized media

For radio-wave communication with ionospheric propagation, it is useful to study the distortion of signals propagating through a plasma medium. The problem is discussed of finding the distortion of a pulse after it has propagated through a longitudinally inhomogeneous anisotropic ionized medium whose electron density varies linearly in one direction. As a model of the incident pulse source, the Gaussian envelope carrier pulse is considered. Dependence of the electromagnetic pulse distortion upon the duration of the pulse, the gradient of the electron density, the magnetostatic field, and the carrier frequency is mathematically studied in detail.