550.388.2 Mathematical modeling of the impact of radio waves on the lower ionosphere

Stupitskij E. L. (Institute for Computer Aided Design of the Russian Academy of Sciences), Moiseeva D. S. (Institute for Computer Aided Design of the Russian Academy of Sciences), Motorin A. A. (Institute for Computer Aided Design of the Russian Academy of Sciences)

NUMERICAL MODELING, LOWER IONOSPHERE, HF RADIO WAVES, TEMPERATURE, KINETICS


doi: 10.18698/2309-3684-2024-1-6792


The paper presents numerical studies of the parameters of the lower ionosphere when heated by high-frequency radio waves of various frequencies and powers. The main attention is paid to the interrelation between the energy and kinetic parameters of the disturbed D-region of the ionosphere in the processes that determine the absorption and transformation of the radio beam energy flux in space and time. The possibility of a significant difference in the behavior of the parameters of the disturbed region in the daytime and at nighttime, both in magnitude and in space-time distribution, is shown. In the absence of sufficiently reliable values of the rate constants for a number of important kinetic processes, numerical studies were carried out in stages with the gradual addition of individual processes and kinetic blocks corresponding at the same time to a certain physical content. It is shown that the energy thresholds for inelastic collisions of electrons with air molecules are the main ones. This approach made it possible to detect the effect of the emergence of a self-oscillating mode of changing parameters if the main channel for energy losses in inelastic processes is the most energy-intensive process – ionization. This effect may play a role in plasma studies using high-frequency inductive and capacitive discharges. The results of calculations of the ionization and optical parameters of the disturbed D-region for daytime conditions are presented. The electron temperature, density, emission coefficients in the visible and infrared ranges of the spectrum are obtained for various values of the power of the radio beam and its frequency in the lower ionosphere. The influence on the electron temperature and on the general behavior of the parameters of energy losses by electrons on the excitation of vibrational and metastable states of molecules has been studied in detail. It is shown that under nighttime conditions, when the electron concentration begins at altitudes of about 80 km, and the concentration of heavy particles decreases by two orders of magnitude compared to the average D-region, large-scale gas-dynamic motion can develop with sufficient radio emission power The algorithm was developed based on the McCormack method and two-dimensional gas-dynamic calculations of the behavior of the parameters of the perturbed region were performed with some simplifications of the kinetics.


Ivanov-Kholodnyy G.S., Nikol'skiy G.M. Solntse i ionosfera [Sun and ionosphere]. Moscow, Nauka, 1969.
Ratcliffe J.A. An introduction to the ionosphere and magnetosphere. Cambridge University Press, 1972/
Bauer S. Physics of planetary ionospheres. Springer-Verlag. Berlin Heidelberg New York, 1973.
Rishbeth H., Garriott O.K. Introduction to Ionospheric Physics. Academic Press, New York, 47, 1969.
McEwan M.J.; Phillips L.F. Chemistry of the atmosphere. New York, Halsted Press, 1975.
Bryunelli B.E., Namgaladze A.A. Fizika ionosfery [Physics of the ionosphere] — Moscow, Nauka, 1988.
Frolov V.L, Bakhmet’eva N.V, Belikovich V.V. et al. Modification of the Earth’s ionosphere by high-power high-frequency radio waves. PhysicsUspekhi, 2007, 50, no. 3, pp. 315–324.
Gurevich A.V. Nonlinear effects in the ionosphere. Physics-Uspekhi, 2007, 50, no.11, pp. 1091-1121.
Streltsov A.V., Bertheier J.J., Chernyshov A.A., Frolov V.L., Honary F., Kosch M.J. et al. Past, present and future of active frequency experiments in space. Space Sci. Rev., 2018, 214, no. 118, pp. 1–122.
Moiseeva D.S., Motorin A.A., Stupitskij E.L. — Computer Research and Modeling, 2018, 10, no. 5, pp. 679–708.
Kero A., Vierinen J., Enell C.-F., Virtanen I., Turunen E. New incoherent scatter diagnostic methods for the heated D-region ionosphere. Ann. Geophys, 2008, 26, pp. 2273–2279.
Tomko A.A., Ferraro A.J., Lee H.S., Mitra A.P. A theoretical model of D-region ion chemistry modifications during high power radio wave heating. J. Atmos. Terr. Phys., 1980, 42, pp. 275–285.
Tomko A.A., Ferraro A.J., Lee H.S. D-region absorption effects during high-power radio wave heating. Radio Science, 1980, 15, No. 03, pp. 675-682.
Kero A., Bösinger, T., Pollari, P. et al. First EISCAT measurement of electron-gas temperature in the artificially heated D-region ionosphere. Annales Geophysical, 2000, 18, pp. 1210–1215.
Enell C.-F, Kero A, Turunen E. Effects of D-region RF heating studied with the Sodankylä Ion Chemistry model. Annales Geophysicae, 2005, 23, pp. 1575-1583.
Stupitskij E.L., Kholodov A.S. Fizicheskie issledovaniya i matematicheskoe modelirovanie krupnomasshtabnyh geofizi-cheskih eksperimentov [Physical research and mathematical modeling of large-scale geophysical experiments]. Dolgoprudnyj, «Intellekt» Publishers, 2019.
Moiseeva D.S. — Ph.D. thesis. Dolgoprudnyy, MIPT, 2021.
McEwan M.J.; Phillips L.F. Chemistry of the atmosphere. New York, Halsted Press, 1975.
Mitchner M., Kruger Ch. H Jr. Partially ionized gases. New York, Wiley, 1973.
Omholt A. The Optical Aurora. Springer-Verlag, 1971.
Hasted J. Physics of atomic collisions. Butterworth, Washington, D.C., 1964.
Yeletskiy A.V., Palkina L.A., Smirnov B.M. Yavleniya perenosa v slaboionizirovannoy plazme [Transport Phenomena in Weakly Ionized Plasma]. Moscow, Atomizdat, 1975.
Gordiyets B.F, Markov N.N., Shelepin L.A. — Proceedings of the Academy of Sciences of the USSR, 1978, 105, pp. 7–71.
Stupitskij E.L., Repin A.Yu. Metodika issledovaniya kinetiki ionizatsionnokhimicheskikh i opticheskikh vozmushcheniy v atmosfere na osnove chislennogo modelirovaniya [Methodology for studying the kinetics of ionization-chemical and optical disturbances in the atmosphere based on numerical simulation]. TSFTI MO RF, 2002.
Perov S.P, Khrgian A.Kh. Sovremennyye problemy atmosfernogo ozona [The current problems of atmospheric ozone]. Leningrad, Gidrometeoizdat, 1980.
Turco R.P. Photodissociation rates in the atmosphere below 100 km. Geophysical Surveys, 1975, 2, pp. 153–192.
Spravochnik. Okolozemnoye kosmicheskoye prostranstvo [Reference book. Near-Earth outer space]. Moscow, Mir, 1988.
Priyatkin S.N., Stupitskij E.L. — Cosmic Research, 1992, 30, no. 2, pp. 253.
Morozov D.V., Stupitskij E.L. — IX International Conference on Wave Electrodynamics, Yaroslavl, Parts 1, 2, 2011.
Stupitskij E.L. Dinamika moshchnykh impul'snykh izlucheniy i plazmennykh obrazovaniy [Dynamics of powerful pulsed radiation and plasma formations.]. Moscow, Fizmatlit, 2006.
Stupitskij E.L., Lyubchenko O.S., Khudaverdyan A.M. — Quantum electronics, 1985, 12, no. 5, p. 1038–1049.


Ступицкий Е.Л., Моисеева Д.С., Моторин А.А. Математическое моделирование воздействия радиоизлучения на нижнюю ионосферу. Математическое моделирование и численные методы, 2024, № 1, с. 67–92.


Работа выполнена в рамках государственного задания ИАП РАН.


Download article

Количество скачиваний: 347