We consider the propagation of pulsed electromagnetic signals with the axisymmetric field structure in a nonlinear nondispersive medium. It is also assumed that in the linear limit (for small amplitudes of the field components), an axisymmetric inhomogeneity of dielectric permittivity can be present in the considered model of the medium. A rigorous solution for the problem of the behavior of the pulse field in such a medium is obtained. Based on the found solution, the propagation of electromagnetic signals excited by currents with various time dependences is studied. The influence of the nonlinearity and inhomogeneity parameters of the medium on the spatial distributions of the components of the excited field and on the behavior of the vector of the energy flux density is analyzed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
G. B. Whitham, Linear and Nonlinear Waves, Wiley, New York (1999).
L. D. Landau and E. M. Lifshitz, Electrodynamics of Continuous Media, Butterworth–Heinemann, Oxford (1993).
S. N. Vlasov and V. I.Talanov, Wave Self-Focusing [in Russian], Inst. Appl. Phys., Nizhny Novgorod (1997).
A.V. Kudrin and E.Yu.Petrov, JETP, 110, No. 3, 537–548 (2010). https://doi.org/https://doi.org/10.1134/S1063776110030167
E.Yu.Petrov and A.V. Kudrin, Phys. Rev. Lett., 104, No. 19, 190404 (2010). https://doi.org/10.1103/PhysRevLett.104.190404
P. A. Franken and J. F.Ward, Rev. Mod. Phys., 35, No. 1, 23–39 (1963). https://doi.org/https://doi.org/10.1103/RevModPhys.35.23
I. V. Ivanov, Sov. Phys. Usp., 23, No. 12, 869–871 (1980). https://doi.org/https://doi.org/10.1070/PU1980v023n12ABEH005083
G. V. Belokopytov, Ferroelectrics, 168, No. 1, 69–89 (1995). https://doi.org/https://doi.org/10.1080/00150199508007850
H.Xiong, L. G. Si, P.Huang, and X.Yang, Phys. Rev. E, 82, No. 5, 057602 (2010). https://doi.org/10.1103/PhysRevE.82.057602
A. M. Prokhorov, ed., Physical Encyclopedia, Vol. 5 [in Russian], B.R.É, Moscow (1992).
L. D. Landau and E. M. Lifshitz, Fluid Mechanics, Butterworth–Heinemann, Oxford (1987).
A.V. Kudrin, O.A.Kudrina, and E.Yu.Petrov, JETP, 122, No. 6, 995–1001 (2016). https://doi.org/https://doi.org/10.1134/S1063776116060145
A.V. Gaponov and G. I. Freidman, Izv. Vyssh. Uchebn. Zaved., Radiofiz., 3, No. 1, 79–88 (1960).
A. V. Gaponov, L. A.Ostrovskii, and G. I. Freidman, Radiophys. Quantum Electron., 10, Nos. 9–10, 772–793 (1967). https://doi.org/https://doi.org/10.1007/BF01031606
I. G. Kataev, Electromagnetic Shock Waves, Iliffe, London (1965).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 65, No. 10, pp. 853–861, October 2022. Russian https://doi.org/10.52452/00213462_2022_65_10_853
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Kudrin, A.V., Petrov, E.Y. Propagation of Pulsed Electromagnetic Signals with the Axisymmetric Field Structure in a Nonlinear Nondispersive Medium. Radiophys Quantum El 65, 775–782 (2023). https://doi.org/10.1007/s11141-023-10256-w
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11141-023-10256-w