Passage of electromagnetic waves through a dielectric layer with turbulent parameters

At hypersonic flight speed in dense layers of the atmosphere due to aerodynamic heating around the aircraft an air plasma envelope is formed. The presence of a plasma envelope in the airborne-ground communication channel significantly affects the characteristics of radio communication. The influence of stationary homogeneous and inhomogeneous plasma on radio communication with a hypersonic aircraft has been sufficiently studied. At the same time, at each point of the plasma, its electrical parameters change stochastically in time, while also changing in space. This is the turbulent nature of the plasma formation. The presence of turbulence introduces additional distortions in the operation of the radio communication system. To estimate these distortions, it is necessary to study the passage of a plane harmonic wave through a turbulent plane homogeneous dielectric layer. Under the assumption that the process of pulsation of parameters is stationary in time and statistically homogeneous in space, the scale of turbulence is much smaller than the thickness of the layer, there is a small depth of perturbation of the electrical parameter of the dielectric layer,  expressions are obtained to estimate the signal-to-noise ratio in a wave that has passed through the turbulent layer. The calculation results are given. The results obtained show that plasma turbulence leads to an increase in noise interference.