Propagation of an electron beam in atmosphere at altitudes from $15$ to $100$ km: Numerical experiment

The propagation of a relativistic electron momentum in the atmosphere is investigated. The motion of electrons under the effect of the geomagnetic and electric force fields, scattering, ionization, the formation of secondary electrons, the perturbation of the atmospheric conductivity, and the distribution of electric field are numerically simulated. The previous conclusion by Neubert et al. [1] is substantiated, according to which the inclusion of the vertical geomagnetic field reduces by almost two orders of magnitude the radial collision blurring of the electron beam and increases accordingly the density of energy release and ionization during the injection from an altitude of $60$ km downward. The results are given of simulation of the beam injection at an altitude of $60$ km downward or horizontally in the presence of a horizontal or vertical geomagnetic field, as well as of the injection from an altitude of $15$ km upward along a quasi-stationary thunderstorm electric field of $5$ kV/m beyond the clouds, whose magnitude and polarity correspond to the field jumps that are observed in nature. Based on the calculation results, the degree of ionization, conductivity, and the relaxation time of these parameters in the electron beam trace are estimated. The estimates show that, in the vicinity of the beam trace, because of its polarization, there is a possibility of ten- and hundredfold investigation of the electric field, of discharges in the atmosphere, or of the attainment of the runaway threshold for background relativistic electrons. The possibility is discussed of application of a light electron accelerator for the initiation of observable optical atmospheric phenomena such as blue jets, blue starters, and red sprites.