Выходит 12 номеров в год
ISSN Печать: 0040-2508
ISSN Онлайн: 1943-6009
Indexed in
NONLINEAR THEORY OF INTERACTION BETWEEN A TUBULAR BEAM OF CHARGED PARTICLES AND POTENTIAL SURFACE WAVES OF PLASMA CYLINDER
Краткое описание
Investigation of the generation mechanisms of electromagnetic waves by the motion of charged particles in various electrodynamic systems is an actual problem of modern radiophysics and electronics. Recently, much attention has been paid to the interaction between the streams of charged particles and solid-state structures that have dispersion properties. As a rule, such structures contain plasma-like media. The basis for the generation of electromagnetic waves is the system instabilities caused by perturbations in the streams of charged particles. The stationary mode of wave generation is provided by nonlinear interactions of a charged particle beam with eigenmodes of solid-state structure. In this paper, a theoretical study of the nonlinear stabilization effect of instability of an infinitesimally thin tubular electron beam propagating along the surface of a solid-state plasma cylinder has been carried out. Using Maxwell's equations and motion equation of plasma electrons based on an integrated approach (analytical and numerical), the nonlinear theory of instability of the tubular electron beam flying above the plasma cylinder has been constructed. The plasma of the cylinder was assumed collisionless. The calculations have been performed to an electrostatic approximation due to the nonrelativistic nature of motion of the beam. It is shown that the nonlinear stabilization of increase in the wave amplitude is realized due to the bunching of the beam electrons into clots and their subsequent capture by the wave field. The dependence of the instability rise time and the wave maximum amplitude on the plasma cylinder radius has been found out. It is established that the nonlinear stage of instability begins earlier in an electro-dynamic system with a smaller radius of the plasma cylinder. At that in such a system, the maximum magnitude of the slow amplitude has a greater value. The research results broaden our understanding about the physical properties of systems with plasma-like media and systematize our knowledge about the excitation mechanisms of potential surface waves in the electrodynamic systems that form the basis of microwave oscillators.
-
Ahiezer, A.I. and Lyubarskiy, G.Ya., (1951) , To the nonlinear theory of electron plasma oscillations, Dok. Akad. Nauk SSSR, 80(2), pp. 193-195, (in Russian).
-
Ahiezer, A.I. and Polovin, R.V., (1955) , On relativistic plasma oscillations, Dok. Akad. Nauk SSSR, 102(5), pp. 919-920, (in Russian).
-
Ahiezer, A.I. and Polovin, R.V., (1956) , To the theory of wave motions of an electron plasma, Zh. Eksp. Teor. Fiz., 30(5), pp. 915-928, (in Russian).
-
Faynberg, Ya.B. and Shapiro, V.D., (1965) , Quasilinear theory of oscillation excitation during injection of an electron beam into a plasma half-space, Zh. Eksp. Teor. Fiz., 47(4), pp. 1389-1404, (in Russian).
-
Faynberg, Ya.B. and Shapiro, V.D., (1963) , To the nonlinear interaction theory of a relativistic beam with a plasma, 4th Conf. on Plasma Physics and Controlled Thermonuclear Fusion Problems, Kiev, Ulraine, pp. 92-103, (in Russian).
-
Mazitov, R.K., (1965), On the damping of plasma waves, Prikladnaya Mehanika i Tehnicheskaya Fizika, 1, pp. 27-31, (in Russian).
-
O'Neil, T., (1965) , Collisionless damping of nonlinear plasma oscillations, Phys. Fluids, 8(12), pp. 2255-2262. DOI: https://doi.org/10.1063/1.1761193
-
Fainberg Ya.B., (1968) , Interaction of beams of charged particles with plasma, Czech. J. Phys., 18B(5), pp. 652-677. DOI: https://doi.org/10.1007/BF01691021
-
Faynberg, Ya.B., Shapiro, V.D., and Shevchenko, V.I., (1970) , To the nonlinear theory of interaction between the plasma and “monochromatic” relativistic electron beam, Zh. Eksp. Teor. Fiz., 57(3), pp. 966- 977, (in Russian).
-
Kurilko, V.I., (1970) , On the development mechanism of beam instability in a plasma, Zh. Eksp. Teor. Fiz., 57(3), pp. 885-893, (in Russian).
-
Drummond, W.E., Malmberg, J.H., O’Neil, T.M., Thompson, J.R., (1970) , Nonlinear Development of the Beam-Plasma Instability, Phys. Fluids, 13(9), pp. 2422-2425. DOI: https://doi.org/10.1063/1.1693255
-
Kovtun, R.I. and Ruhadze, A.A., (1970) , To the nonlinear interaction theory of a low-density REB with a plasma, Zh. Exp. Teor. Fiz., 58(5), pp. 1709-1714, (in Russian).
-
Breyzman, B.N. and Ryutov, D.D., (1971) , Quasilinear relaxation of an ultrarelativistic electron beam in a plasma, Zh. Eksp. Teor. Fiz., 60(1), pp. 408-422, (in Russian).
-
Onischenko, I.N., Linetskiy, A.R., Matsiborko, N.G., Shapiro, V.D., and Shevchenko, V.I., (1970) , Excitation of a monochromatic plasma wave by an electron beam, Pis'ma Zh. Eksp. Teor. Fiz., 12(8), pp. 407-411, (in Russian).
-
Matsiborko, N.G., Onishchenko, I.N., Shapiro, V.D., and Shevchenko, V.I., (1972) , On nonlinear theory of instability of a monoenergetic electron beam in plasma, Plasma Physics, 14(6), pp. 591-600. DOI: https://doi.org/10.1088/0032-1028/14/6/003
-
Ivanov, A.A., Parail, V.V., and Soboleva, T.K., (1972) , Nonlinear theory of interaction of a monoenergetic beam with dense plasma, Zh. Exp. Teor. Fiz., 63(5), pp. 1678-1685, (in Russian).
-
Alterkop, B.A., Rosinskiy, S.E., and Tarakanov, V.P., (1979) , Nonlinear interaction of a blowing electron beam with a surface plasma wave, Fiz. Plasmy, 5(2), pp. 291-296, (in Russian).
-
Kuzelev, M.V., Lazutchenko, O.V., and Ruhadze, A.A., (1999) , Regimes and spectra of the Cherenkov beam instability in a nonlinear plasma, Izv. Vyssh. Uchebn. Zaved. Radiofiz., 42(10), pp. 958-976, (in Russian).
-
Shlapakovski, A.S., Artemenko, S.N., Avgustinovich, V.A., Mashchenko, A.I. et al., (2006) , Status of the development of X-band antenna-amplifier: Design, Simulations, and Prototype Experiments, 14th Symposium on High Current Electronics, Tomsk, Russia, pp. 359-362.
-
Avgustinovich, V.A., Artemenko, S.N., Mashchenko, A.I., Shlapakovski, A.S. et al., (2010) , Demonstration of amplification in a dielectric Cerenkov maser with a rod-shaped slow-wave system, Pis'ma Zh. Tekh. Fiz., 36(5), pp. 103-110, (in Russian).
-
Kirichenko, A.Ya., Lonin, Yu.F., Papkovich, V.G., Ponomarev, A.G. et al., (2010) , A microwave oscillator with a “whispering gallery” resonator, Problems of atomic science and technology. Ser. Nuclear Physics Research, 2(66), pp. 135-139, (in Russian).
-
Galaydych, K.V., Lonin, Yu.F., Ponomarev, A.G., Prokopenko,Yu. V., and Sotnikov, G. V., (2010) , Mathematical model of an excitation by electron beam of “whispering gallery” modes in cylindrical dielectric resonator, Problems of atomic science and technology. Ser. Plasma Phys., 6, pp. 123-125, (in Russian).
-
Dormidontov, A.V., Kirichenko, A.Ya., Lonin, Yu.F., Ponomarev, A.G. et al., (2012) , Auto-oscillatory system based on dielectric resonator with whispering-gallery modes, Pis'ma Zh. Tekh. Fiz., 38(2), pp. 65-73, (in Russian). DOI: 10.1134/S106378501201021X
-
Galaydych, K.V., Lonin, Yu.F., Ponomarev, A.G., Prokopenko, Yu.V., and Sotnikov, G.V., (2012) , Nonlinear analysis of mm waves excitation by high–current REB in dielectric resonator, Problems of Atomic Science and Technology. Ser. Plasma Phys., 6(82), pp. 158-160, (in Russian).
-
Galaydych, K.V., Lonin, Yu.F., Ponomarev, A.G., Prokopenko, Yu.V. et al., (2012) , Excitation of millimeter waves by a high-current REB in a dielectric resonator, Problems of Atomic Science and Technology. Ser. Nuclear Physics Research, 3(79), pp. 174-178, (in Russian).
-
Averkov, Yu.O., Prokopenko, Yu.V., and Yakovenko, V.M., (2016) , The instability of hollow electron beam interacting with plasma-like medium, Telecommunications and Radio Engineering, 75(16), pp. 1467-1482.
-
Averkov, Yu.O., Prokopenko, Yu.V., and Yakovenko, V.M., (2017) , Interaction between a tubular beam of charged particles and a dispersive metamaterial of cylindrical configuration, Phys. Rev. E., 96(1), pp. 013205(12). DOI: https://doi.org/10.1103/PhysRevE.96.013205
-
Abramovits, M. and Stigan, I. (ed.), (1979) , Reference on Special Functions: with Formulas, Graphics and Tables, Moscow, Russia: Nauka Publ., (in Russian).
-
Averkov, Yu.O., Prokopenko, Yu.V., and Yakovenko, V.M., (2017) , Interaction a flow of charged particles with eigenmodes of a dielectric cylinder, Telecommunications and Radio Engineering, 76(18), pp. 1595-1611.
-
Akhiezer, A.I. (ed.), Akhiezer, I.A., Polovin, R.V., Sitenko, A.G., and Stepanov, K.N., (1974) , Plasma Electro-Dynamics, Moscow, Russia: Nauka Publ., (in Russian).
-
Averkov Yu.O., Prokopenko Yu.V., Yakovenko V.M., Helicons in Solid-State Plasma of Cylindrical Configuration, 2020 IEEE Ukrainian Microwave Week (UkrMW), 2020. Crossref
-
Averkov Yu.O., Prokopenko Yu.V., Yakovenko V.M., Нестійкість трубчастого електронного пучка у разі обдування плазмового твердотільного циліндра, який розміщено у сильному поздовжньому магнітному полі, Ukrainian Journal of Physics, 67, 4, 2022. Crossref