Zhurnal Radioelektroniki - Journal of Radio Electronics. eISSN 1684-1719. 2022. №1
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DOI: https://doi.org/10.30898/1684-1719.2022.1.6

UDC: 621.396

 

MODELING OF TROPOSPHERIC RADIO WAVE PROPAGATION BY THE PARABOLIC EQUATION METHOD

 

 

V. V. Akhiyarov1, 2

 

 

1Scientific and Research Institute for Long-Distance Radio Communications

127083, Moscow, 8 Marta 10-5,

2Kotelnikov Institute of radioengineering and electronics of RAS,

125009, Moscow, Mokhovaya 11-7

 

The paper was received  on January 13, 2022.

 

Abstract. This paper considers the problem of field strength prediction for tropospheric radio wave propagation. Correlation functions for different spectral models of locally homogeneous and isotropic turbulence are obtained and possible realizations of refractive index fluctuations are presented. The dependence of the field strength on the intensity of fluctuations has been investigated and the obtained results have been compared with the recommendation of the International Telecommunications Union. It is shown that the accuracy of field strength prediction by the parabolic equation method can be significantly improved by adding a random fluctuation field to the mean values of the refractive index. attenuation factor; refractive index; spectral fluctuation density; long-range tropospheric propagation of radio waves..

Key words: attenuation factor, refractive index, spectral fluctuation density, long-range tropospheric propagation of radio waves.

 

References

1. Vvedenskij B.A., Kolosov M.A., Kalinin A.I. et al. Dal'nee troposfernoe rasprostranenie ul'trakorotkih radiovoln. [Long-range tropospheric propagation of radio waves]. Moscow, Sovetskoe radio Publ. 1965. 416 p. (In Russian).

2. Sistema troposfernoj svjazi Groza. [Tropospheric communication system Thunderstorm] [online]. Date of access: 20.11.21. https://rolos.ru/troposphere. (In Russian).

3. Akhiyarov V.V. The asymptotic solution of the single and multiple diffraction problems. Jelektromagnitnye volny i jelektronnye sistemy [Electromagnetic waves and electronic systems]. 2013. V.18. №7. P.4-11. (In Russian).

4. Akhiyarov V.V. Numerical solution of a radiowaves diffraction problem over irregular terrain. Jelektromagnitnye volny i jelektronnye sistemy [Electromagnetic waves and electronic systems]. 2010. V.15. №3. P.39-46. (In Russian).

5. Akhiyarov V.V. Chernavskiy S.V. Usage of Numerical Methods for the Radio Waves Propagation Studying. Radiotehnika [Radioengineering]. 2011. №10. P.100-110. (In Russian).

6. Akhiyarov V.V. Path loss prediction over irregular terrains based on parabolic equation. Zhurnal radiojelektroniki [Journal of Radio Electronics] [electronic journal]. 2012. No.1. http://jre.cplire.ru/iso/jan12/16/text.pdf (In Russian).

7. Akhiyarov V.V. Diffraction of the VHF and UHF radiowaves above the earth’s surface. Jelektromagnitnye volny i jelektronnye sistemy [Electromagnetic waves and electronic systems]. 2006. V.11. №9. P.28-32. (In Russian).

8. Akhiyarov V.V. The Radio Waves Propagation and Scattering. Uspehi sovremennoj radiojelektroniki [Achievements of modern radioelectronics]. 2008. №12. P.3-25. (In Russian).

9. Vinnichenko N.K., Pinus N.Z., Shmeter S.M. i dr. Turbulentnost' v svobodnoj atmosfere. [Turbulence in a Free Atmosphere]. Leningrad, Gidrometeoizdat Publ. 1976. 288 с. (In Russian).

10. Kolmogorov A.N. Local structure of turbulence in an incompressible viscous fluid at very high Reynolds numbers. Uspehi fizicheskih nauk [Achievements in the physical sciences]. 1968. V.93. 3. P.476-481. [online]. Date of access: 20.11.21. https://ufn.ru/ufn67/ufn67_11/Russian/r6711h.pdf. (In Russian).

11. Ishimaru A. Rasprostranenie i rasseyanie voln v sluchajno-neodnorodnyh sredah. Tom 2. Mnogokratnoe rasseyanie, turbulentnost', sherohovatye poverhnosti i distancionnoe zondirovanie [Wave Propagation and Scattering in Random Media. Volume 2: Multiple scattering, turbulence, rough surfaces, and remote-sensing]. Academic Press. 1978. 339 p. (In Russian).

12. Akhiyarov V.V. Numerical Solution of Scattering from Random Rough Surface. Uspehi sovremennoj radiojelektroniki [Achievements of modern radioelectronics]. 2012. 5. P.3-14. (In Russian).

13. Akhiyarov V.V. Scattering from statistically rough surface with arbitrary correlation properties. Journal of Radioelectronics [Journal of Radio Electronics] [electronic journal]. 2012. №2. http://jre.cplire.ru/jre/feb12/2/text.pdf. (In Russian).

14. Tatarskii V.I. Rasprostranenie radiovoln v turbulentnoj atmosfere. [Wave propagation in turbulent media]. Moscow, Nauka Publ. 1967. 548 p. (In Russian).

15. Vinogradov A.G., Teokharov A.N. Similarity Model of Spatial Spectra of Random Anisoscale Inhomogemeities of Atmosphere Permittivity and its Application to Problems of Wave Propagation. Izvestiya, Atmospheric and Oceanic Physics. 2020. V.56. 1. P.61-71. (In Russian).

16. Levy М.F. Parabolic equation method for electromagnetic wave propagation. London, IEE. 2000. 336 p.

17. Apaydin G., Sevgi L. Radio wave propagation and parabolic equation modeling. IEEE Press. 2017. 136 p.

18. Akhiyarov V.V. Parabolic Equation Method in the Diffraction Theory. Uspehi sovremennoj radiojelektroniki [Achievements of modern radioelectronics]. 2010. 9. P.72-80. (In Russian).

19. Hitney H.V. A Practical Tropospheric Scatter Model Using the Parabolic Equation. IEEE Transaction on Antennas and Propagation. 1993. V.41. 7. P.905-909.

20. Akhiyarov V.V. Calculation of the attenuation factor near terrain taking into account tropospheric scatter. Proceedings of XXVII International Scientific-technical Conference Radiolokacija, navigacija, radiosvjaz' [Radiolocation, navigation, communication]. 2021. Voronezh. Vol.3. P.193-199. (In Russian).

21. Recommendation ITU-R P.1546-6. Method for point-to-area predictions for terrestrial services in the frequency range 30 MHz to 4 000 MHz. [online]. Date of access: 20.11.21.https://www.itu.int/dms_pubrec/itu-r/rec/p/R-REC-P.1546-6-201908-I!!PDF-E.pdf.

For citation:

 Akhiyarov V.V. Modeling of tropospheric radio wave propagation by the parabolic equation method. Jhurnal radioelectroniki [Journal of Radio Electronics] [online]. 2022. №1. https://doi.org/10.30898/1684-1719.2022.1.6 (In Russian)