M.A. Belyansky1, E.Yu. Butyrsky2, V.V. Vasiliev3

1 LLC “NPK MCA”

2,3 VMPI VUNC of the Navy of the N.G. Kuznetsov Naval Academy

1 maxim_belyansky@mail.ru; 2 evgenira88@mail.ru; 3 valeronvazilevs@yandex.ru

The key property of NVIS radio communication is the use of reflective properties of the lower ionospheric boundary to ensure radio contact with the receiver at distances beyond the direct visibility of "classical" radio communications.

The task of NVIS radio communication with moving objects (or with consideration of the mutual kinematics of source-receiver), taking into account reflection from an inhomogeneous ionosphere, is a separate problem and at the mathematical level requires the implementation of real-time signal processing algorithms, as well as taking into account the influence of the Doppler effect.

 In this paper, the structure of the reflected from the ionosphere wave packet is briefly considered, while the kinematics of the receiver is taken into account using a group theory. In this paper, a dispersion relation is obtained, the fulfillment of which gives limitations on the use of the proposed approach.

Belyansky M.A., Butyrsky E.Yu., Vasiliev V.V. NVIS-radiocommunication with mobile objects taking into account the inhomogeneous structure of ionospheric plasma. Radiotekhnika. 2026. V. 90. № 1. P. 132−140. DOI: https://doi.org/10.18127/j00338486-202601-13 (In Russian)

1. Antonec I.V., Kotov L.N., Shavrov V.G., Shheglov V.I. Algoritm opredelenija amplitud otrazhennyh i prohodjashhih voln pri padenii vstrechnyh voln na mnogoslojnuju stupenchato-neodnorodnuju strukturu. Radiotehnika i jelektronika. 2012. T. 57. № 1. S. 67-79 (in Russian).
2. Putilin Je.S. Opticheskie pokrytija. SPb: Izd-vo ITMO. 2010. 227 s. (in Russian).
3. Denisov A.V., Beljanskij M. A. Fazovye otlichija kojefficientov otrazhenija ploskih jelektromagnitnyh voln gorizontal'noj i vertikal'noj poljarizacij ot perehodnogo dijelektricheskogo sloja. Jelektromagnitnye volny i jelektronnye sistemy. 2020. T. 25. № 1-2. S. 5-11. DOI: 10.18127/j15604128-202001-2-01 (in Russian).
4. Ginzburg V.L. Rasprostranenie jelektromagnitnyh voln v plazme. M.: Nauka. 1976. 684 s. (in Russian).
5. Budden K.G. Radio waves in the ionosphere. Cambridge: University Press. 1961. 542 p.
6. Butyrskij E.Ju., Matveev A.V. Matematicheskoe modelirovanie sistem i processov. SPb: Strategija budushhego. 2022. 799 s. (in Russian).
7. Vejl' G. Simmetrija. M.: Nauka. 1968. 192 s. (in Russian).
8. Butyrskij E.Ju. Matematicheskie modeli gidroakusticheskih signalov i metody ih obrabotki. SPb: Strategija budushhego. 2018. 649 s. (in Russian).
9. Ljeng S. SL(2,R). M.: Mir. 1977. 430 s. (in Russian).
10. Butyrskij E.Ju. Teoretiko-gruppovoe predstavlenie signalov i perspektivy ego ispol'zovanija. SPb: VMIRJe. 2010. 77-87 s.
11. Isaev A.P., Rubakov V.A. Teorija grupp i simmetrij. URSS. 2002. 504 s. (in Russian).