ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Kurkin S. A., Koronovskii A. A., Hramov A. E. External magnetic field influence on the forming and dynamics of virtual cathode. Izvestiya VUZ. Applied Nonlinear Dynamics, 2008, vol. 16, iss. 4, pp. 182-200. DOI: 10.18500/0869-6632-2008-16-4-182-200

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Full text PDF(Ru):
(downloads: 128)
Article type: 

External magnetic field influence on the forming and dynamics of virtual cathode

Kurkin Semen Andreevich, Innopolis University
Koronovskii Aleksei Aleksandrovich, Saratov State University
Hramov Aleksandr Evgenevich, Immanuel Kant Baltic Federal University

The results of investigation of virtual cathode mechanisms forming and its dynamics in the context of 2-dimensional model are presented. There were considered entire and tubular electron beams in external axial magnetic field. Two different types of virtual cathode dynamics were discovered. The value of external magnetic field determines a dominant type of dynamics. Therefore the current critical value (when virtual cathode arises in a beam) depends on external magnetic field value.

Key words: 
  1. Granatstein VL, Alexeff I. High Power Microwave Sources. Artech House Microwave Library; 1987. 564 p.
  2. Dubinov AE, Selemir VD. Electronic devices with virtual cathode. J. Commun. Technol. Electron. 2002;47(6):575 (in Russian).
  3. Trubetskov DI, Khramov AE. Lectures on Microwave Electronics for Physicists. In 2 volumes. Vol. 2. Moscow: Fizmatlit; 2004. 646 p. (in Russian).
  4. Afanasyeva VV, Lazerson AG, Chemichev GV. Spatial chaos in the system electron beam - periodic magnetic field. In: Lectures on Microwave Electronics and Radiophysics. Saratov: Saratov University Publishing; 1992 (in Russian).
  5. Afanasyeva VV, Lazerson AG. Spatial chaos and suppression of parametric instability in the "electron beam - periodic magnetic field" system. Tech. Phys. Lett. 1994;20(12):19 (in Russian).
  6. Kalinin YA, Lazerson AG, Chemichev GV. Complex dynamics of non-paraxial electron flows in a periodic magnetic field. Izvestiya VUZ. Applied Nonlinear Dynamics. 1995;3(4):32 (in Russian). 
  7. Nikolov NA, Kostov KG, Spassovsky IP, Spassov VA. High-power microwave generation from virtual cathode in foilless diode (vircator). Electronics Letters. 1988;24(23):1445–1446. DOI: 10.1049/el:19880987.
  8. Kostov KG, Nikolov NA, Spassovsky IP, Spassov VA. Experimental study of virtual cathode oscillator in uniform magnetic field. Appl. Phys. Lett. 1992;60(21):2598–2600. DOI: 10.1063/1.107472.
  9. Kostov KG, Nikolov NA, Spassov VA. Excitation of transverse electric modes in axially extracted virtual cathode oscillator. Electronics Letters. 1993;29(12):1069–1070. DOI: 10.1049/el:19930714.
  10. Kostov KG, Nikolov NA. Microwave generation from an axially extracted virtual cathode oscillator with a guide magnetic field. Phys. Plasmas. 1994;1(4):1034–1039. DOI: 10.1063/1.870783.
  11. Kostov KG, Yovchev IG, Nikolov NA. Numerical investigation of microwave generation in foilless diode vircator. Electronics Letters. 1999;35(19):1647–1648. DOI: 10.1049/el:19991122.
  12. Egorov EN, Hramov AE. Investigation of the chaotic dynamics of an electron beam with a virtual cathode in an external magnetic field. Plasma Physics Reports. 2006;32(8):683–694. DOI: 10.1134/S1063780X06080058.
  13. Kalinin YA, Koronovskii AA, Khramov AE, Egorov EN, Filatov RA. Experimental and theoretical investigations of stochastic oscillatory phenomena in a nonrelativistic electron beam with a virtual cathode. Plasma Physics Reports. 2005;31(11):938–952. DOI: 10.1134/1.2131130.
  14. Hramov AE, Koronovskii AA, Morozov M, Mushtakov AV. Effect of external magnetic field on critical current for the onset of virtual cathode oscillations in relativistic electron beams. Phys. Lett. A. 2008;372(6):876–883. DOI: 10.1016/j.physleta.2007.08.039.
  15. Kuzelev MV, Rukhadze AA. Electrodynamics of Dense Electron Beams in Plasma. Moscow: Nauka; 1990. 333 p. (in Russian).
  16. Roshal AS. Modeling of Charged Beams. Moscow: Atomizdat; 1979. 224 p. (in Russian).
  17. Birdsall CK, Langdon AB. Plasma Physics, Via Computer Simulation. NY: McGraw-Hill; 1985. 504 p.
  18. Alyamovsky IV. Electron Beams and Electron Guns. Moscow: Sovetskoe Radio; 1966. 456 p. (in Russian).
  19. Tsimring SE. Electron Beams and Microwave Vacuum Electronics. John Wiley and Sons Inc., Hoboken, New Jersey; 2007. 600 p. DOI: 10.1002/0470053763.
  20. Trubetskov DI, Khramov AE. Lectures on Microwave Electronics for Physicists. In 2 volumes. Vol. 1. Moscow: Fizmatlit; 2003. 496 p. (in Russian).
  21. Selemir VD, Alekhin BV, Vatrunin VE, Dubinov AE, Stepanov NV, Shamro OA, Shibalko KV. Theoretical and experimental studies of microwave devices with a virtual cathode. Plasma Physics Reports. 1994;20(7–8):689 (in Russian).
  22. Jiang W, Masugata K, Yatsui K. Mechanism of microwave generation by virtual cathode oscillation. Phys. Plasmas. 1995;2(3):982–986. DOI: 10.1063/1.871377.
  23. Anfinogentov VG, Khramov AE. On the mechanism of occurrence of chaotic dynamics in a vacuum microwave generator with a virtual cathode. Radiophys. Quantum Electron. 1998;41(9):764–770. DOI: 10.1007/BF02677631.
  24. Koronovskii AA, Khramov AE. Wavelet bicoherence analysis as a method for investigating coherent structures in an electron beam with an overcritical current. Plasma Physics Reports. 2002;28(8):666–681. DOI: 10.1134/1.1501324.
  25. Egorov EN, Kalinin YA, Levin YI, Trubetskov DI, Khramov AE. Vacuum generators of broadband chaotic oscillations based on nonrelativistic electron beams with virtual cathode. Bulletin of the Russian Academy of Sciences: Physics. 2005;69(12):1921–1924.
  26. Egorov EN, Kalinin YA, Koronovsky AA, Trubetskov DI, Khramov AE. The processes of formation and nonstationary dynamics of a virtual cathode in a nonrelativistic electron beam in the decelerating field (two-dimensional approximation). Radiophys. Quantum Electron. 2006;49(10):760–768. DOI: 10.1007/s11141-006-0110-5.
  27. Egorov EN, Kalinin YA, Koronovskii AA, Levin YI, Hramov AE. Analysis of the formation of structures and chaotic dynamics in a nonrelativistic electron beam with a virtual cathode in the presence of a decelerating field. J. Commun. Technol. Electron. 2007;52(1):45–57. DOI: 10.1134/S106422690701007X.
  28. Didenko AN, Rashchikov VI. Generation of powerful microwave oscillations in systems with a virtual cathode. Plasma Physics Reports. 1992;18(9):1182–1190 (in Russian).
  29. Rukhadze AA, Bogdankevich LS, Rosinsky SE, Rukhlin VG. Physics of High-Current Relativistic Beams. Moscow: Atomizdat; 1980. 168 p. (in Russian).
  30. Anfinogentov VG. Chaotic oscillations in an electron beam with a virtual cathode. Izvestiya VUZ. Applied Nonlinear Dynamics. 1994;2(5):69–83 (in Russian).
  31. Anfinogentov VG. Interaction of coherent structures and chaotic dynamics in an electron beam with a virtual cathode. Tech. Phys. Lett. 1995;21(8):70–75 (in Russian).
  32. Morozov MY, Hramov AE. Effect of the external magnetic field on the critical current for the onset of a virtual cathode in an electron beam. Plasma Physics Reports. 2007;33(7):553–561. DOI: 10.1134/S1063780X07070045.
Short text (in English):
(downloads: 78)
На сайте журнала 30.03.2023 запланированы технические работы. В это время сайт может быть недоступен. С уважением, администрация сайта.