UDC 538.566

FIELD OF THE EARTH WAVE OVER LONG INHOMOGENEOUS RADIO PATHS

 

M. G. Dembelov ¹, Yu. B. Bashkuev ¹, V. P. Melchinov ²

¹ Institute of the Physical Materials Science of Siberian Branch of the Russian Academy of Sciences, Sakhyanovoy str., 6, Ulan-Ude 670047, Russia

² North-Eastern Federal University,  Belinskogo str., 58, Yakutsk 677000, Russia

 

The paper is received on November 1, 2019

 

Abstract. High-precision radio systems use the properties of the propagation of an electromagnetic field along the Earth's surface. Nowadays the interest remains in the methods for calculating the amplitude-phase structure of the field over real radio paths. The main property of the earth wave field is the stability of the phase structure and diffraction propagation over relatively large distances. The field of the earth wave is considered which is created by a vertical electric dipole over an electrically and geometrically inhomogeneous surface of the Earth. Such waves are called diurnal, they are of interest at distances when the influence of waves reflected from the ionosphere on the field can be neglected.

In the case of an electrically homogeneous radio path, the attenuation function of the earth wave field is calculated using the Sommerfeld’s formulas for the flat surface model and the Fock’s series for the spherical surface model. To calculate the levels of the electromagnetic field and its phase over geometrically and electrically inhomogeneous radio paths, the most used method is the numerical solution of the Hufford’s integral equation. The disadvantage of numerically integrating the Hufford equation is that the range of applicability of the method is limited in distance due to the loss of accuracy of calculations. In practice, such a disadvantage is at high frequencies with "poor" conductivities of the underlying medium. For extended radio paths, it is proposed to use the method of the modernized Feinberg’s integral equation for electrically inhomogeneous radio paths taking into account the relief of the terrain to calculate the function of attenuation of the earthwave field. This method allows performing calculations in the LF-MF ranges of radio waves over paths with relatively "poor" conductivity.

Key words: earthwave field, surface impedance, attenuation function, radio path relief.

References

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For citation:

Dembelov M.G., Bashkuev Yu.B., Melchinov V.P. Field of the earth wave over long inhomogeneous radio paths. Zhurnal Radioelektroniki - Journal of Radio Electronics. 2019. No. 11. Available at http://jre.cplire.ru/jre/nov19/11/text.pdf

DOI  10.30898/1684-1719.2019.11.11