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

INTERACTION OF A FLOW OF CHARGED PARTICLES WITH EIGENMODES OF A DIELECTRIC CYLINDER

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/rej2016.04.068
Language: Russian
Abstract: 

Nowadays a good deal of attention is focused on problems of generating electromagnetic oscillations on the basis of the interaction of charged particles with the structures containing dielectric and plasma-like media. This is due to the sufficiently high efficiency of conversion of the electron beam kinetic energy into electromagnetic radiation. The currently available theoretical results give only qualitative descriptions of experiments. Therefore, it is important to give a detailed description of such effects maximally close to the real conditions of the experiment. In this connection the detailed theoretical study of the instability of the non-relativistic infinitely thin tubular beam of electrons moving in a vacuum above a dielectric cylinder has been performed. It has been shown that either Cherenkov effect or anomalous Doppler effect occurs in relation to the distance (the impact parameter) between the beam and the dielectric.
Keywords: anomalous Doppler effect, beam instability, Cherenkov effect, electron beam, instability increment, space-charge wave

Manuscript submitted 30.09.2016
PACS     61.80.Fe; 41.60.Bq; 41.60.-m; 52.35.-g; 52.40.Mj
Radiofiz. elektron. 2016, 21(4): 68-76

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References: 
  1. Kompfner, R., 1964. The invention of the traveling-wave tube. San Francisco: San Francisco Press.
  2. Vaynshteyn, L. A., Solntsev, V. A., 1973. Lectures on ultrahigh frequency electronics. Мoscow: Sov. Radio Publ. (in Russian).
  3. Trubetskov, D. I., Khramov, A. E., 2003. Lectures on microwave electronics for physicists. Vol. 1. Мoscow: Fizmatlit Publ. (in Russian).
  4. Sotnikov, G. V., 2007. Electrodynamics of plasma and plasma-like slow-wave structures for high-power microwave generators and high-gradient accelerators. Ded. National Science Center Kharkov Institute of Physics and Technology. Kharkov, Ukraine (in Russian).
  5. Fortov, V. E. ed., 2000. Encyclopedia of low temperature plasma. Vol. 4. Мoscow: Nauka Publ. (in Russian).
  6. Kuzelev, M. V., Rukhadze, A. A., Strelkov, P. S., 2002. Plasma relativistic microwave electronics. Мoscow: Bauman Moscow State Technical University Publ. (in Russian).
  7. 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. Auto-oscillatory system based on dielectric resonator with whispering-gallery modes. Tech. Phys. Lett., 38(1), pp. 85–88.
  8. Averkov, Yu. O., Prokopenko, Yu. V., Yakovenko, V. M., 2016. The instability of hollow electron beam interacting with plasma-like medium. Radiofizika i elektronika, 7(21)(2), pp. 28–35 (in Russian).
  9. Kirichenko, A. Ya., Prokopenko, Yu. V., Filippov, Yu. F., Cherpak, N. T., 2008. Quasi-optical solid-state resonators. Kiev: Naukova dumka Publ. (in Russian).
  10. Abramowitz, M., Stegun, I. A. eds., 1979. Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables. Translated from English and ed. by V. A. Ditkin and L. N. Karmazina. Мoscow: Nauka Publ. (in Russian).
  11. Nezlin, M. V., 1976. Negative-energy waves and the anomalous Doppler effect. Usp. Fiz. Nauk, 120(3), pp. 481–495 (in Russian).
  12. Akhiezer, A. I. ed., 1974. Plasma Electrodynamics. Мoscow: Nauka Publ. (in Russian).
  13. Файнберг Я. Б., Шапиро В. Д., 1965. To the nonlinear theory of the interaction of a relativistic beam with a plasma. In: Interaction of beams of charged particles with plasma. Kiev: Publ. of UkrSSR AS, pp. 92–103 (in Russian).