• Українська
  • English
  • Русский
ISSN 2415-3400 (Online)
ISSN 1028-821X (Print)

DEVIATIONS OF SOURCE BEARING IN THE EARTH–IONOSPHERE CAVITY WITH THE DAY–NIGHT NON-UNIFORMITY

Nickolaenko, AP, Galuk, YP, Hayakawa, M
Organization: 

O. Ya. Usikov Institute for Radiophysics and Electronics of the National Academy of Sciences of Ukraine
12, Proskura st., Kharkov, 61085, Ukraine

E-mail: sasha@ire.kharkov.ua
 

Sankt-Petersburg State University
35, University Avenue., St. Petersburg, Peterhof 198504, Russia

E-mail: j.galuk@spbu.ru
 

Institute Hayakawa, the seismic company electromagnetism,
Incubation Center 508 Telecommunication University,
Chofugaoka 1-5-1, Chofu, Tokyo 182-8585, Japan

E-mail: hayakawa@hi-seismo-em.jp

https://doi.org/10.15407/rej2018.02.022
Language: russian
Abstract: 

Subject and purpose. The Earth-ionosphere cavity resonator is characterized by the day–night non-uniformity. The impact of this non-uniformity on the field amplitude and its spectrum was addressed in literature, however, the modifications of the arrival angle of extremely low frequency radio waves caused by this inhomogeneity were not considered. In the present work, the source bearing deviations are obtained in the framework of the smooth day–night transition model. The source and the receiver are located on the zero meridian at points with coordinates 22.5° N and 22.5° S respectively, while the propagation path 5 thousand km long occupies two characteristic positions relative to the non-uniformity. One of them corresponds to 4 hr (the path lies in the night hemisphere) and the second one corresponds to 8 hr of Universal Time (the path is located nearby the morning terminator at the day side).

Methods and methodology. The full wave solution is used to determine the propagation parameters of ELF radio waves. The field spectra are found using the 2D telegraph equations.

Results. The following results were obtained: influence of the non-uniformity is absent when the center of the propagation path coincide with the center of the night or the day hemisphere, and it increases when the path approaches the day-night interface; the deviations of the source bearing may reach ~3°; frequency dependence of the source bearing has a shape similar to the Schumann resonance spectral pattern; a weak elliptical polarization is observed for a monochromatic signal, and its sign changes when the propagation path moves from one side of the day–night non-uniformity to another; temporal variations of the pulsed orthogonal components of the horizontal magnetic field and the Umov–Poynting vector have a complex shape, and this impedes determination of the arrival angle of a pulsed radio emission; the frequency response of a Schumann resonance receiver significantly changes the pulsed shape, however, the maximum deviations of source bearing do not increase in this case.

Conclusions. Influence of day-night non-uniformity on the source bearing in the Schumann resonance frequency band does not exceed the level of natural fluctuations caused by the noise nature of the thunderstorm activity of the planet, and this significantly obscures the experimental detection of such deviations. Detection of the terminator effect is possible only for exceptionally powerful ELF transient signals.

Keywords: day–night non-uniformity, Earth–ionosphere cavity, schumann resonance, source bearing

Manuscript submitted 01.03.2018
PACS 93.85.Bc; 93.85.Jk; 94.20.Cf; 94.20.ws
Radiofiz. elektron. 2018, 23(2): 22-38
Full text  (PDF)

References: 
  1. Mlynarczyk, J., Kulak, A., Salvador, J., 2017. The accuracy of radio direction finding in the extremely low frequency range. Radio Sci., 52(10), pp. 1245–1252. DOI: https://doi.org/10.1002/2017RS006370
  2. Galuk, Yu. P., Nickolaenko, A. P., Hayakawa, M., 2018. Amplitude variations of ELF radio waves in the Earth–ionosphere cavity with the day–night non-uniformity. J. Atmos. Solar-Terr. Phys., 169, pp. 23–36. Available online 8 January 2018,DOI: https://doi.org/ 10.1016/j.jastp.2018.01.001
  3. Hynninen, E. M., Galuk, Yu. P., 1972. Field of vertical electric dipole over the spherical Earth with a non-uniform along the height atmosphere. Problemy difraktsii i rasprostraneniya radiovoln, 11, pp. 100–120. Leningrad, Leningrad Univ. Publ. (in Russian).
  4. Galuk, Yu. P., Nickolaenko, A. P., Hayakawa, M., 2017. Displacement of electric field antipode maximum in the Earth–ionosphere cavity caused by day–night non-uniformity. Radiofizika i elektronika, 22(2), pp. 28–40 (in Russian). DOI: https://doi.org/10.15407/ rej2017.02.028
  5. Kudintseva I. G., Nickolaenko, A. P., Rycroft, M. J., Odzimek, A., 2016. AC and DC global electric circuit properties and the height profile of atmospheric conductivity. Ann. geophys., 59(5), pp. A0545 (15 p.) DOI: https://doi.org/10.4401/ag-6870
  6. Nickolaenko, A. P., Shvets, A. V. and Hayakawa, M., 2016. Extremely Low Frequency (ELF) Radio Wave Propagation: a Review. Int. J. Electron. Appl. Res. (IJEAR), 3(2), December, 91 p. Published online (http://eses.co.in/online_journal.html) ISSN 2395 0064)
  7. Nickolaenko, A. P., Shvets, A. V. and Hayakawa, M., 2016. Propagation at Extremely Low-Frequency Radio Waves. In: J. Webster, ed. 2016. Wiley Encyclopedia of Electrical and Electronics Engineering. Hoboken, USA: John Wiley & Sons, Inc., 2016. P. 120.  DOI:https://doi.org/10.1002/047134608X.W1257.pub2
  8. Nickolaenko, A. P., Galuk, Yu. P. and Hayakawa, M., 2017. Extremely Low Frequency (ELF) Wave Propagation: Vertical Profile of Atmospheric Conductivity Matching with Schumann Resonance Data. In: Albert Reimer, ed. 2017. Horizons in World Physics. New York: NOVA Sci. Publishers. Vol. 288, Ch. 6. ISBN: 978-1-63485-882-3, ISBN: 978-1-63485-905-9 (eBook).
  9. Madden, T., Thompson, W., 1965. Low frequency electromagnetic oscillations of the Earth–ionosphere cavity. Rev. Geophys., 3(2), pp. 211–254. DOI: https://doi.org/10.1029/RG003i002p00211
  10. Kirillov, V. V., 1996. Two-dimentional theory of ELF electromagnetic wave propagation in the Earth–ionosphere waveguide channel. Izv. Vyssh. Uchebn. Zaved. Radiofiz., 39(9), pp. 1103–1113 (in Russian).
  11. Kirillov, V. V., Kopeykin, V. N., Mushtak, V. K., 1997. Electromagnetic waves of ELF band in Earth–ionosphere waveguide. Geomagnetism and Aeronomy, 37(3), pp. 114–120 (in Russian).
  12. Samarskiy, A. A., 1989. The Theory of Difference Schemes. Moscow: Science Publ. (in Russian).
  13. Belyaev, G. G., Schekotov, A. Yu., Shvets, A. V., Nickolaenko, A. P., 1999. Schumann resonance observed with the Poynting vector spectra. J. Atmos. Solar-Terr. Phys., 61(10), pp. 751–763. DOI: https://doi.org/10.1016/S1364-6826(99)00027-9
  14. Bliokh, P. V., Nickolaenko, A. P., Filippov, Yu. F., 1977. Global electromagnetic resonances in Earth–ionosphere cavity. Kiev: Naukova Dumka Publ. (in Russian).
  15. Nickolaenko, A., Hayakawa, M., 2002. Resonances in the Earth-ionosphere Cavity. Dordrecht, Kluwer Academic Publ.
  16. Nickolaenko, A., Hayakawa, M., 2014. Schumann Reso-nance for Tyros (Essentials of Global Electromagnetic Resonance in the Earth–Ionosphere Cavity). Tokyo: Springer. Series XI, Springer Geophys.
  17. Yatsevich, E. I., Shvets, A. V., Nickolaenko, A. P., 2014. Impact of ELF receiver on characteristics of ELF transients. Izv. Vyssh. Uchebn. Zaved. Radiofiz., 57(3), pp. 176–186 (in Russian)