Geomagnetism and Aeronomy

, Volume 58, Issue 1, pp 113–118 | Cite as

Penetration of Nonstationary Ionospheric Electric Fields into Lower Atmospheric Layers in the Global Electric Circuit Model

  • V. N. Morozov


The problem of the penetration of nonstationary ionospheric electric fields into the lower atmospheric layers is considered based on the model of the global electric circuit in the Earth’s atmosphere. For the equation of the electric field potential, a solution that takes into account exponential variation in the electrical conductivity with height has been obtained. Analysis of the solution made it possible to reveal three cases of the dependence of the solution on height. The first case (the case of high frequencies) corresponds to the Coulomb approximation, when the electrical conductivity of the atmosphere can be neglected. In the case of low frequencies (when the frequency of changes in the ionosphere potential is less than the quantity reciprocal to the time of electric relaxation of the atmosphere), a quasi-stationary regime, in which the variation in the electric potential of the atmosphere is determined by the electric conduction currents, occurs. In the third case, due to the increase in the electrical conductivity of the atmosphere, two spherical regions appear: with the Coulomb approximation in the lower region and conduction currents in the upper one. For these three cases, formulas for estimating the electric field strength near the Earth’s surface have been obtained.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Bateman, G. and Erdélyi, A., Higher Transcendental Functions, Hypergeometric Function. Legendre Function, New York: McGraw Hill, 1953; Moscow: Nauka, 1984.Google Scholar
  2. Jackson, J., Classical Electrodynamics, New York: Wiley, 1962; Moscow: Mir, 1965.Google Scholar
  3. Kamke, E., Differentialgleichungen: Lösungsmethoden und Lösungen, Leipzig: Geest & Portig K.-G., 1959; Moscow: Nauka, 1971.Google Scholar
  4. Morozov, V. N., Model of the nonstationary electric field in the lower atmosphere, Geomagn. Aeron. (Engl. Transl.), 2005, vol. 45, no. 2, pp. 253–262.Google Scholar
  5. Morozov, V.N., Distribution of the electric field created by ionospheric generator in lower atmospheric layers, Tr. Gl. Geofiz. Obs. im. A.I. Voeikova, 2012, no. 565, pp. 205–215.Google Scholar
  6. Morozov, V.N. and Troshichev, O.A., Simulation of variations in the polar atmospheric electric field related to the magnetospheric field-aligned currents, Geomagn. Aeron. (Engl. Transl.), 2008, vol. 48, no. 6, pp. 727–736.CrossRefGoogle Scholar
  7. Roble, R.G. and Hays, P.B., A quasi-static model of global atmospheric electricity. II. Electrical coupling between the upper and lower atmosphere, J. Geophys. Res., 1979, vol. 84, no. 12, pp. 7247–7256.CrossRefGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Voeikov Main Geophysical ObservatorySt. PetersburgRussia

Personalised recommendations