Propagation of the electromagnetic pulse with Gaussian envelope in inhomogeneous ionized media

For the purpose of radio communication, it is important to study the distortion of signals propagating through an inhomogeneous medium. The problem of finding the distortion of a pulse after it has propagated through a plasma medium whose electron density varies linearly in one direction is discussed. A sinusoidal carrier with a Gaussian pulse envelope is assumed to be the source of the incident plane wave.