The decametric radiowaves propagation in the ionospheric plasma was considered. Bicharacteristic system of equations was used in the modeling ray structures. This system, which allows finding the ray paths with great precision, was obtained by D.S. Lukin. Models of the ionosphere with horizontal gradients were used in the calculations; local inhomogeneities, such as reduced electron density in the maximum layer and increased electron density below the maximum layer, were taken into account. The features of shortwave propagation, such as getting a wave of interlayer channel, distribution and out of it, reflection of waves from different ionospheric layers were explored. Was shown that the rays can be ejected from the field of distribution and curled when hit in the inhomogeneity of the ionosphere. The formation of caustic surfaces and its dynamics were studied. The radiowaves propagation in the Earth’s ionosphere was studied. This ionosphere profiles were restored the scientific group led by Professor V.E. Kunitsyn by radiotomography method based on real observations. Ray structures in the area of “equatorial anomaly” were built. The models, both including and excluding the effect of Earth’s magnetic field and the influence of the equatorial anomaly were considered. Ray structures at the different positions of the radiation source, as well as different operating frequency, were investigated. Dynamic model of the ray’s propagation was developed. ]]>
Keywords: Decameter radiowaves, the bicharacteristic system, ionospheric plasma, the equatorial anomaly, ray structures.
Resumen
Se considera la propagación de radioondas decamétricas en el plasma ionosférico. Se usa un sistema bicaracterístico de ecuaciones para modelar las estructuras radiales. Este sistema, que permite encontrar los caminos radiales con gran precisión, fueobtenido por D.S. Lukin. En los cálculos se usaron modelos de la ionosfera con gradientes horizontales; se tomaron en cuenta inhomogeneidades locales, tales como densidad reducida de electrones en la capa máxima y dendidad aumentada de electrones ba jo la capa máxima. Se exploraron características de la propagación de las ondas cortas. Se muestra que los rayos pueden ser expulsados del campo de distribución y hacer un bucle cuando chocan con la inhomogeneidad dela ionosfera. Se estudia la formación de superficies cáusticas y su dinámica. También se estudia la propagación de radioondas en la ionosfera de la Tierra. Los perfiles de esta ionosfera fueron dados al grupo liderado por el Profesor V.E. Kunitsyn por medio del método de radiotomografía basado en observaciones reales. Se construyeron estructuras de rayos en el área de “anomalía ecuatorial”. Se consideraron que incluyen y que excluyen el efecto del campo magnético de la Tierra y la influencia de la anomalía ecuatorial. Se investigaron estructuras radiales en diferentes posiciones de la fuenta de la radiación, así como diferentes frecuencias operativas. Se desarrolló el modelo dinámico de la propagación de los rayos.
Palabras clave: Radioondas decamétricas, el sistema bicaracterístico, plasma ionosférico, anomalía ecuatorial, estructuras radiales.
Mathematics Subject Classification: 78A40. Ver contenido disponible en pdf ]]>
References
[1] Kryukovsky, A.S.; Lukin, D.S.; Rastyagaev, D.V. (2009) “Investigation of the features of propagation of short radiowaves in an inhomogeneous anisotropic ionosphere”, Electromagnetic Waves and Electronic Systems14(8): 17–26. [ Links ]
[2] Kryukovsky A.S.; Lukin, D.S.; Rastyagaev, D.V. (2010) “Simulation of ray and the caustic structure of electromagnetic fields according by ionospheric tomography in the vicinity of the equatorial anomaly”, Electromagnetic Waves and Electronic Systems15(8): 5–11. [ Links ]
[3] Andreeva, E.S.; Kryukovsky, A.S.; Kunitsyn, V.E.; Lukin, D.S.; Rastyagaev, D.V.; Kiryanova, K.S. (2011) “Simulation of ray and the caustic structure of electromagnetic fields according by ionospheric tomography in the vicinity of the equatorial anomaly”, in Propagation of Radiowaves, Collection of Reports XXIII Russian Scientific Conference, Vol 3. (23-26 May 2011) Mari State Technical University, Yoshkar-Ola: 288–291. [ Links ]
[4] Kryukovsky, A.S.; Kiryanova, K.S. (2011) “Dynamic modeling of radiowave propagation in the vicinity of the equatorial anomaly based on the method of bicharacteristics”, Electromagnetic Waves and Electronic Systems16(8): 21–25. [ Links ]
[5] Lukin, D.S.; Spiridonov, J.G. (1969) “Application of the method of characteristics for the numerical solution of radiowave propagation in inhomogeneous and nonlinear area”, Radiotechnics and Electronics14(9): 1673–1677. [ Links ]
[6] Lukin, D.S.; Palkin, E.A. (1982) Numerical Canonical Method in Problems of Diffraction and Propagation of Electromagnetic Waves in Inhomogeneous Media. Moscow Physical and Technical Institute, Moscow. [ Links ] ]]>
[7] Kunitsyn, V.E.; Tereshchenko, E.D. (2003) Ionospheric Tomography. Springer. [ Links ]
[8] Andreeva, E.S.; Franke, S.J.; Kunitsyn, V.E.; Yeh, K.C. (2000) “ Some features of the equatorial anomaly revealed by ionospheric tomography”, Geophysical Research Letters27(16) 2465–2468. [ Links ]
[9] Frankem S.J.; Yehm K.C.; Andreevam E.S.; Kunitsyn, V.E. (2003) “A study of the equatorial anomaly ionosphere using tomographic images”, Radio Science38(1): 1011–1020. [ Links ] ]]>
[10] Kunitsyn, V.E.; Andreeva, E.S.; Franke, S.J.; Yeh, K.C. (2003) “Tomographic investigations of temporal variations of the ionospheric electron density and the implied fluxes”, Geophysical Research Letters30(16): 1851–1854. [ Links ]
*Correspondencia a: Kseniya S. Kiryanova. Postgraduate student, Russian New University, 22, Radio Street, Moscow, 105005, Russia. E-Mail: 2661348@mail.ru Andrey S. Kryukovsky. Head Chair of Information Technologies and Natural Sciences, Russian New University, Moscow, Russia. E-Mail: kryukovsky@rambler.ru Dmitriy S. Lukin. Head Chair of Physics and Mathematical Problems of Wave Processes, Moscow Physical and Technical Institute (State University), 9, Institutskiy pereulok, Dolgo- prudniy, Moscow region, 141700, Russia. E-Mail: lukin@mail.mipt.ru * Postgraduate student, Russian New University, 22, Radio Street, Moscow, 105005, Russia. E-Mail: 2661348@mail.ru † Head Chair of Information Technologies and Natural Sciences, Russian New University, Moscow, Russia. E-Mail: kryukovsky@rambler.ru ‡ Head Chair of Physics and Mathematical Problems of Wave Processes, Moscow Physical and Technical Institute (State University), 9, Institutskiy pereulok, Dolgoprudniy, Moscow region, 141700, Russia. E-Mail: lukin@mail.mipt.ru ]]>
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