Irkutsk, Russian Federation
Irkutsk, Russian Federation
We propose a method for direct diagnostics of a stochastic ionospheric radio channel. This method can recalculate probe signal characteristics into transmitted signal characteristics. We derive analytical equations of second-order statistical moments for trajectory characteristics of the main and probe signals propagating in a three-dimensional randomly inhomogeneous ionosphere. We take into account boundary conditions at signal transmission and reception points. As a model of random irregularities of permittivity of the ionosphere, we utilize the concept of a changing space-time correlation ellipsoid, which is self-consistent with spatial changes in the average ionosphere. Time fluctuations of random irregularities are taken into account by the hypothesis of frozen transfer. We use analytical relationships to calculate the expected statistical characteristics of decameter signals along oblique probing paths of the ionosphere. An operational numerical algorithmization of the formulas derived is proposed. We report results of numerical experiments to determine the expected phase variances, group delay, and Doppler frequency shift of the main signal on a given single-hop path, based on measurements of these characteristics of a probe signal on a secondary path. We demonstrate the efficiency of the proposed method for diagnosing statistical trajectory characteristics of a decameter signal along single-hop paths under conditions when ground points of transmission and reception of the main and probe signals are outside the vicinity of focusing points of the wave field.
ionosphere, random irregularities, fluctuations, statistical moments, ray approximation, radio signal, decameter band
1. Ageeva E.T., Afanas'ev N.T., Baginov A.V. i dr. Diagnostika sostoyaniya informacionnogo kanala po statisticheskim traektornym harakteristikam repernogo signala // Sovremennye naukoemkie tehnologii. 2020. № 5. S. 9-14.
2. Alimov V.A., Rahlin A.V., Vybornov F.I. Model' vzaimodeystviya DKMV-DMV radiovoln s sil'no neodnorodnoy sredneshirotnoy ionosferoy // Izv. vuzov. Radiofizika. 1997. T. 40, № 11. S. 1323-1341.
3. Arnol'd V.I. Matematicheskie metody klassicheskoy mehaniki. M.: Nauka, 1989. 472 s.
4. Afanas'ev N.T., Laryunin O.A., Markov V.P. Fluktuacii fazy radiovolny pri polnom vnutrennem otrazhenii ot sluchayno-neodnorodnoy ionosfery // Izv. vuzov. Radiofizika. 2009. T. 52, № 10. S. 779-784. DOI:https://doi.org/10.1007/s11141-010-9177-0.
5. Blagoveschenskiy D.V. Korotkie volny v anomal'nyh radiokanalah: Eksperiment, modelirovanie. Saarbrücken: LAP Lambert Academic Publ., 2011. 422 c.
6. Blagoveschenskiy D.V., Zherebcov G.A. Vysokoshirotnye geofizicheskie yavleniya i prognozirovanie korotkovolnovyh radiokanalov. M.: Nauka, 1987. 272 s.
7. Bova Yu.I., Kryukovskiy A.S., Lukin D.S. Rasprostranenie chastotno-modulirovannogo izlucheniya elektromagnitnyh voln v ionosfere Zemli s uchetom pogloscheniya i vneshnego magnitnogo polya // Radiotehnika i elektronika. 2019. T. 64, № 1. S. 3-14. DOI:https://doi.org/10.1134/S1064226919010030.
8. Vologdin A.G., Vlasova O.K., Prihod'ko L.I. Fluktuacii gruppovogo puti i vremeni gruppovogo zapazdyvaniya signala pri naklonnom otrazhenii voln ot ploskosloistoy sredy // Radiotehnika i elektronika. 2007. T. 52, № 10. S. 1194-1198.
9. Vologdin A.G., Prihod'ko L.I., Shirokov I.A. Statistika doplerovskogo smescheniya chastoty radiovoln, otrazhennyh ot parabolicheskogo ionosfernogo sloya // V Vserossiyskie Armandovskie chteniya «Radiofizicheskie metody v distancionnom zondirovanii sred»: materialy dokladov. Murom, 2012. S. 159-163.
10. Gershman B.N., Eruhimov L.M., Yashin Yu.Ya. Volnovye yavleniya v ionosfere i kosmicheskoy plazme. M.: Nauka, 1984. 392 s.
11. Gusev V.D., Ovchinnikova N.P. Model'noe opredelenie ob'emnyh harakteristik neodnorodnostey ionosfery // Geomagnetizm i aeronomiya. 1980. T. 20, № 4. S. 626-631.
12. Ipatov E.B., Kryukovskiy A.S., Lukin D.S. i dr. Metody modelirovaniya rasprostraneniya elektromagnitnyh voln v ionosfere s uchetom raspredeleniy elektronnoy koncentracii i magnitnogo polya Zemli // Radiotehnika i elektronika. 2014. T. 59, № 12. S. 1180-1187. DOI:https://doi.org/10.1134/S1064 226914120079.
13. Kazancev A.N., Lukin D.S., Spiridonov Yu.G. Metod issledovaniya rasprostraneniya radiovoln v neodnorodnoy magnitoaktivnoy ionosfere // Kosmicheskie issl. 1967. T. 5, vyp. 4. S. 593-600.
14. Klyackin V.I. Stohasticheskie uravneniya. M.: Fizmatlit, 2008. T. 1. 317 s.
15. Kravcov Yu.A., Orlov Yu.I. Geometricheskaya optika neodnorodnyh sred. M.: Nauka, 1980. 304 s.
16. Kryukovskiy A.S., Lukin D.S., Kir'yanova K.S. Metod rasshirennoy biharakteristicheskoy sistemy pri modelirovanii rasprostraneniya radiovoln v ionosfernoy plazme // Radiotehnika i elektronika. 2012. T. 57, № 9. S. 1028-1034. DOI:https://doi.org/10.1134/S1064226912080177.
17. Kryukovskiy A.S., Kurkin V.I., Laryunin O.A. i dr. Chislennoe modelirovanie amplitudnyh kart dlya skorrektirovannoy modeli IRI-2012 s plavnymi vozmuscheniyami ionosfery // Radiotehnika i elektronika. 2016. T. 61, № 8. S. 794-799. DOI:https://doi.org/10.7868/S0033849416080118.
18. Kurkin V.I., Nosov V.E., Ponomarchuk S.N. i dr. Metod operativnoy diagnostiki KV-radiokanala // Issl. po geomagnetizmu, aeronomii i fizike Solnca. M.: Nauka, 1993. Vyp. 100. S. 168-188.
19. Rytov S.M., Kravcov Yu.A., Tatarskiy V.I. Vvedenie v statisticheskuyu radiofiziku. Chast' 2: Sluchaynye polya. M.: Nauka, 1978. 464 s.
20. Tereschenko V.D. K voprosu o vliyanii gorizontal'nyh gradientov elektronnoy koncentracii na velichinu MPCh i traektoriyu rasprostraneniya radiovoln v ionosfere // Morfologiya i fizika polyarnoy ionosfery. Leningrad: Nauka, 1971. S. 228-235.
21. Afanasiev N.T., Afanasiev A.N., Larunin O.A., Markov V.P. Phase fluctuations of radio waves experiencing total reflection from a randomly inhomogeneous plasma layer // J. Atmos. Solar-Terr. Phys. 2010. V. 72, iss. 7-8. R. 583-587. DOI:https://doi.org/10.1016/j.jastp.2010.02.014.
22. Davies K. Ionospheric Radio. Stevenage, United Kingdom: Institution of Engineering and Technology Publ., 1990. 600 r.
23. Ishimaru A. Wave Propagation and Scattering in Random Media. John Wiley & Sons, 1999. 604 p.
24. Mitra S.K. The Upper Atmosphere. Calcutta: Royal Asiatic Society of Bengal, 1947. 616 r.
25. Rawer K. Wave Propagation in the Ionosphere. Dordrecht: Springer Netherlands, 1993. 479 p.