The effect of the resonant tunneling of signals through an overcritical plasma layer in the presence of an external static magnetic field is considered. The aim of the study is to demonstrate the effectiveness of the combined usage of two methods for overcoming radio blackout for aircrafts moving in dense layers of the atmosphere at supersonic velocities: the method of resonant tunneling of the signal in the presence of a dielectric layer and the magnetic windows method. The features of dielectric resonator filling with an electromagnetic wave field are studied for various parameters. The values of the magnetic field induction providing the best signal propagation results through the plasma layer are estimated