A.R. Bestugin – Dr.Sc. (Eng.), Professor, Director of Institute of Radio Engineering, Electronics and Communication, 

Saint-Petersburg State University of Aerospace Instrumentation

A.N. Yakimov – Dr.Sc. (Eng.), Professor, Saint-Petersburg State University of Aerospace Instrumentation

I.A. Kirshina – Ph.D. (Econ.), Associate Professor, Saint-Petersburg State University of Aerospace Instrumentation A.V. Nerobeev – Post-graduate Student, Saint-Petersburg State University of Aerospace Instrumentation E-mail: a.v.nerobeev@mail.ru

The problem of mathematical modeling of the microwave antenna influence on the characteristics of the ground radio line of communication is considered. A spatially distributed electrodynamic model of the ground radio line of communication is proposed, which takes into account the propagation of both «straight» and reflected from the earth's surface radio waves using the methods of geometrical and physical optics. The results of a model study of the ground radio line of communication in the centimeter wave range are presented. The possibilities of optimizing the characteristics of the radio line by the maximum of the received signal using the proposed mathematical model are shown.

1. Fejnberg E.L. Rasprostranenie radiovoln vdol' zemnoj poverhnosti. M.: Nauka. 1999.
2. Shkol'nyj L.A., Anfinogenov A.Yu. Metody matematicheskogo modelirovaniya radiolokacionnyh izobrazhenij iskusstvennyh raspredelennyh ob'ektov//  Zarubezhnaya radioelektronika. 1998. № 2. S. 49–58.
3. Detkov A.N., Nicak D.A. Metod matematicheskogo modelirovaniya polyarizacionnyh portretov iskusstvennyh raspredelennyh ob'ektov // Radiotehnika. 2007. № 11. S. 77–81.
4. Borzov A.B., Lihoedenko K.P., Karakulin Yu.I., Suchkov V.B. Matematicheskoe modelirovanie vhodnyh signalov bortovyh sistem blizhnej radiolokacii ot podstilayuschih poverhnostej na osnove ih mnogotochechnyh modelej // Uspehi sovremennoj radioelektroniki. 2017. № 4. S. 48–57.
5. Borzov A.B., Suchkov V.B. Shahtarin B.I., Sidorkina Yu.A. Matematicheskoe i imitacionnoe modelirovanie vhodnyh signalov sistem blizhnej radiolokacii // Radiotehnika i elektronika. 2014. T. 59. № 12. S. 1195–1208.
6. Yakimov A.N., Andreev A.N. Matematicheskoe modelirovanie radiolinii svyazi // Trudy Mezhdunar. Simpoziuma «Nadezhnost' i kachestvo». Penza: Izd-vo Penz. gos. un-ta, 2000. S. 193–194.
7. Yakimov A.N. Optimizaciya vertikal'nogo razmera nazemnoj antenny radiolinii svyazi // Trudy Mezhdunar. simpoziuma «Nadezhnost' i kachestvo». Penza:  Izd-vo Penz. gos. un-ta. 2001. S. 199–201.
8. Ladrom O., Feurstein M.J., Rappaport T.S. A comparison of theoretical and empirical reflection coefficients for typical exterior wall surfaces in a mobile radio environment // IEEE Trans. Antennas Propagat. 1996. V. 44. P. 341–351.
9. Hata M. Empirical formula for propagation loss in land mobile radio service // IEEE Trans. Veh. Technol. 1980. V. 29. № 3. P. 317–325.
10. Akhiyarov V.V., Borzov A.B., Suchkov V.B., Shakhtarin B.I., Sidorkina Y.A. Calculation of the backscattered field by the method of the physical diffraction theory in the problem of diffraction from impedance objects // Journal of Communications Technology and Electronics. 2015. V. 60. № 12. S. 1297–1304.