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ISSN 2415-3400 (Online)
ISSN 1028-821X (Print)

THE INSTABILITY OF HOLLOW ELECTRON BEAM INTERACTING WITH PLASMA-LIKE MEDIUM

heading: 
SOLID-STATE AND PLASMA RADIOPHYSICS
Averkov, YO, Prokopenko, YV, Yakovenko, VM
Organization: 

O. Ya. Usikov Institute for Radiophysics and Electronics of the National Academy of Sciences of Ukraine
12, Proskura st., Kharkov, 61085, Ukraine
E-mail: yuriyaverkov@gmail.com
https://doi.org/10.15407/rej2016.02.028
Language: Russian
Abstract: 

Nowadays a good deal of attention is focused on problems of generation of millimeter and submillimeter electromagnetic waves under the interaction of fluxes of charged particles with solids. However, today there is no consistent theoretical description of this type of effects. In this connection we present the detailed theoretical research on the instability effect of non-relativistic infinitely thin hollow electron beam which moves in vacuum above a dielectric (plasma) cylinder. The calculations have been performed in electrostatic approximation due to the non-relativistic velocity of the beam electrons. The cases where the dielectric permittivity is constant and depends on the frequency have been considered. The dispersion curves of exited modes have been constructed. The dependences of the increments (decrements) of the modes on the value of the bunch radius and on the azimuth mode index have been studied. It has been shown that for both the dielectric and plasma media the largest values of the increments (decrements) of the excited modes occur for zero value of the azimuth mode index. The maximum values of the increments (decrements) decrease with increasing the azimuth mode index. It has been established that the frequency dependence of the dielectric permittivity leads to the absolute instability. This instability exists in the corresponding finite interval of the longitudinal wave number.
Keywords: beam instability, electron beam, instability increment, space-charge wave

Manuscript submitted 30.03.2016
PACS 61.80.Fe
Radiofiz. elektron. 2016, 21(2): 28-35
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References: 
  1. Neklyudov, I. M., Egorov, A. М., Bakay, А. S. et al. eds., 2009. Yakov Borisovich Faynberg. Scientist. Citizen. Teacher. Kharkiv, Ukraine: Globus Publ. (in Russian).
  2. Lopukhin, V. M. and Vedenov, A. A., 1954. The absorption amplifier. Usp. Fiz. Nauk, 53(1), pp. 69–86 (in Russian).
  3. Akhiezer, А. I., Bar’yakhtar, V. G. and Peletminskii, S. V., 1963. On coherent amplification of spin waves. Zh. Eksp. Teor. Fiz., 45(2), pp. 337–343 (in Russian).
  4. Borodkin, A. I., Yakovenko, V. M., Levin, G. Ya., Maystrenko, Yu. V., 1970. Interaction of an electron flow and surface waves in semiconductor plasma. Fiz. Tverd. Tela, 12(5), pp. 1515–1520 (in Russian).
  5. Kornilov, E. A., Nekrashevich, S. A., Faynberg, Ya. B., Shokhovtsov, N. A., 1970. Study of the resistive instability excited by a electron beam in solid plasma Pis’ma Zh. Eksp. Teor. Fiz., 11(6), pp. 284–287 (in Russian).
  6. Dormidontov, A. V., Kirichenko, A. Ya., Lonin, Yu. F., Ponomarev, A. G., Prokopenko, Yu. V., Sotnikov, G. V., Uvarov, V. T., Filippov, Yu. F., 2012. A self-oscillating system based on a dielectric resonator with whispering-gallery modes. Pis’ma Zh. Tekh. Fiz., 38(2), pp. 65–73 (in Russian).
  7. Pafomov, V. E., 1961. On the Vavilov-Cherenkov-radiation theory in anisotropic media with boundaries. In: Trudy Fizicheskogo instituta im. P. N. Lebedeva, 16, pp. 94–139 (in Russian).
  8. Bolotovskii, B. M., 2009. The Vavilov-Cherenkov radiation: discovery and application. Usp. Fiz. Nauk, 179(11), pp. 1161–1173 (in Russian).
  9. Faynberg, Ya. B., 1961. Interaction of charged beams with plasma. At. Energy., 11(4), pp. 313–335 (in Russian).
  10. Abramovits, M. and Stigan, I. eds., 1979. A handbook of special functions. With formulae, diagrams, and tables. Translated from English and ed. by V. A. Ditkin i L. N. Karmazina. Moscow: Nauka Publ. (in Russian).
  11. Vedernikov, А. K., Govorov, A. D. and Chaplik, A. V., 2001. Plasma oscillations in nanotubes and the Aarov-Bom effect for plasmons. Zh. Eksp. Teor. Fiz., 120(10), pp. 979–985 (in Russian).
  12. Dormidontov, A. V., Prokopenko, Yu. V., Khankina, S. I. and Yakovenko, V. M., 2014. Energy loss of charged particle on the eigenmode excitation in cylindrical structures with two-dimensional electron gas. Radiofizika i elektronika, 5(19)(4), pp. 63–72 (in Russian).
  13. Dormidontov, A. V., Prokopenko, Yu. V. and Yakovenko, V. M., 2015. Energy loss of charged particle on the waves excitation in semiconductor cylinder with two-dimensional electron gas on the side surface. Radiofizika i elektronika, 6(20)(4), pp. 24–30 (in Russian).
  14. Dmitruk, N. L., Litovchenko, V. G. and Strizkevskii, V. L., 1989. Surface polaritons in semiconductors and dielectrics., Kiev: Naukova dumka Publ. (in Russian).
  15. Silin, R. А., 2006. Electromagnetic waves in artificial periodic structures. Usp. Fiz. Nauk, 175(5), pp. 562–565 (in Russian).
  16. Korn, G. and Korn, T., 1974. A handbook of mathematics for scientists and engineers. Translated from English and ed. by I. G. Aramanovich. Moscow: Nauka Publ. (in Russian).