Zhurnal Radioelektroniki - Journal of Radio Electronics. ISSN 1689-1719. 2020. No. 4

Full text in Russian (pdf)
Russian page

DOI 10.30898/1684-1719.2020.4.10

UDC 537.876.23

Approximate Calculations of Falling from Above Whistler Wave Passage Characteristics for a Sharp Boundary Ionospheric Model

A. V. Moshkov

Kotelnikov Institute of Radioengineering and Electronics of Russian Academy of Sciences, Mokhovaya 11-7, Moscow 125009, Russia

The paper is received on April 5, 2020

Abstract. It is well known that in order to carry out active low-frequency wave experiments in the ionosphere, it is necessary to have an effective powerful source of such waves. It may be a subpolar ground-based modulated powerful short-wave transmitter as HAARP station (Alaska), or an onboard low-frequency transmitter etc. Now we can make relatively simple realistic estimations of a field strength of such low-frequency waves in the ionosphere. However, in order to obtain the same simple estimates of the magnitude of the field at the earth surface, we must calculate a value of the coefficient of passage of the low-frequency wave through the lower ionosphere. Typically, such calculations require a numerical full-wave method. This article shows that using of a simple model of the homogeneous ionosphere with sharp boundary allows us to obtain simple analytical estimates of the field strength of whistler mode waves that pass through the lower ionosphere from above. This allows a wave power transmission coefficient value to be obtained. These results are compared with the corresponding results of numerical integration of wave equations. A satisfactory match for the modulation frequency interval of HAARP was found.

Key words: lower ionosphere, sharp boundary model, whistler wave, transmission coefficients.

References

1. Gurevich A.V. Nonlinear effects in the ionosphere. Physics – Uspekhi. 2007. Vol. 50, No. 11, P. 1091–1121. DOI: 10.1070/PU2007v050n11ABEH006212.

2. Moshkov A.V., Pozhidaev V.N. Numerical Simulation of the Distribution of the Low-Frequency Field Created by a Transmitting Loop Antenna Installed on board a Spacecraft. J. of Communications Technology and Electronics. 2019. Vol. 64. No. 9. P. 937-944. DOI: 10.1134/S1064226919080126.

3. Moshkov A.V., Pozhidayev V.N. Distribution of the strength of the low-frequency field demodulated in the disturbed lower ionosphere over the earth surface. J. of Communications Technology and Electronics. 2018. Vol. 63. No. 5. P. 413-419. DOI: 10.1134/S1064226918050091.

4. Moshkov A.V. Estimation of the field strength of a low-frequency ionospheric source in the vicinity of the main maximum of distribution on the Earth surface.     J. Communications Technology and Electronics. 2009. Vol. 54. No. 12. P. 1360-1365. DOI: 10.1134/S1064226909120043.

5. Kelly F.J., Baker D.J., Chayt A.G. Radio wave propagation in plasmas. Radio Sci. 1976. Vol. 11, No. 2. P. 93-101.

6. Budden K.G. Radio Waves in the Ionosphere. Cambridge: University Press. 1961. 542 p.

7. Moshkov A.V., Pozhidaev V.N. Numerical Simulation of Very-Low-Frequency Waves Passing through the Magnetoactive Plane-Layered Plasma of Earth's Lower Ionosphere. J. of Communications Technology and Electronics. 2020. Vol. 65. No. 5. P. 472-479. DOI: 10.1134/S1064226920050101

8. Fatkullin M.N., Zelenova T.I., Kozlov V.K., Legenka A.D., Soboleva T.N. Empiricheskie modely sredneshirotnoy ionosfery. [Empirical models of the midlatitude ionosphere]. Ìoscow. Nauka Publ. 1981. 256 p. (In Russian).

For citation:

Moshkov A.V. Approximate calculations of falling from above whistler wave passage characteristics for a sharp boundary ionospheric model. Zhurnal Radioelektroniki - Journal of Radio Electronics. 2020. No. 4. Available at http://jre.cplire.ru/jre/apr20/10/text.pdf.  DOI 10.30898/1684-1719.2020.4.10