volume | PIER Journals

Abstract

Excitation of extraordinarily polarized azimuthal eigen modes by modulated annular electron beam is shown to be characterized by the increase of instability growth rates compared with the case of non-modulated electron beam. Interaction between the modulated beam and azimuthal eigen modes happens in the range of electron cyclotron frequency in waveguides with metal walls, which are partially filled with cold magneto-active plasma. Non-linear set of differential equations, which describs excitation of these azimuthal modes by an annular electron beam is derived and analyzed numerically. Different scenarios of the beam-plasma interaction depending on relation between azimuthal mode number of the exited waves and periodicity of azimuthal modulation of the beam density, degree and manner of the beams' modulation are studied numerically.

1. Bogdankevich, L. S., M. V. Kuzelev, and A. A. Rukhadze, "Plasma SHF electronics," Physics-Uspekhi, Vol. 133, 3-16, 1981.
doi:10.3367/UFNr.0133.198101a.0003 Google Scholar

2. Humphries, S., Charged Particle Beams, John Wiley and Sons Inc., New York , 1990.

3. Vlasov, A. N., A. G. Shkvarunets, and J. Rodgers, "Overmoded GW-class surface waves microwave oscillators," Special Issue of IEEE-PS on High-power Microwave Generators, Vol. 28, 550-560, 2000. Google Scholar

4. Barker, R. J. and E. Schamiloglu, High-power Microwave Sources and Technologies, New-York, 2001.
doi:10.1109/9780470544877

5. Ederra, I., J. C. Iriarte, R. Gonzalo, and P. de Maagt, "Surface waves of finite size electromagnetic band gap woodpile structures," Progress In Electromagnetics Research B, Vol. 28, 19-34, 2011. Google Scholar

6. Girka, V. O., I. O. Girka, A. V. Girka, and I. V. Pavlenko, "Theory of azimuthal surface waves propagating in non-uniform waveguides," Journal of Plasma Physics, Vol. 77, Part 4, 493-519, 2010. Google Scholar

7. Girka, I. O., V. O. Girka, and I. V. Pavlenko, "Excitation of ion azimuthal surface modes in a magnetized plasma by annular flows of light ions," Progress In Electromagnetics Research M, Vol. 21, 267-278, 2011.
doi:10.2528/PIERM11092205 Google Scholar

8. Fujiwara, M., O. Komeko, A. Komori, et al. "Experiments on NBI plasmas in LHD," Plasma Phys. Control. Fusion, Vol. 41, No. 12B, 157-166, 1999.
doi:10.1088/0741-3335/41/12B/311 Google Scholar

9. Sircombe, N. J., R. Bingham, M. Sherlock, et al. "Plasma heating by intense electron beams in fast ignition," Plasma Phys. Control. Fusion, Vol. 50, No. 6, 065005, 2008.
doi:10.1088/0741-3335/50/6/065005 Google Scholar

10. Wu, J., C. Xiong, and S. Liu, "Excitation of microwave by an annular electron beam in a plasma-filled dielectric lined waveguide," International Journal of Infrared and Millimeter Waves, Vol. 16, No. 9, 1573-1581, 1995.
doi:10.1007/BF02274817 Google Scholar

11. Legenkiy, M. N. and A. Y. Butrym, "Pulse signals in open circular dielectric waveguide," Progress In Electromagnetics Research Letters, Vol. 22, 9-17, 2011. Google Scholar

12. Norreys, P. A., J. S. Green, J. R. Davies, et al. "Observation of annular electron beam transport in multi-TeraWatt laser-solid interactions," Plasma Phys. Control. Fusion, Vol. 48, No. 2, L11-L22, 2006.
doi:10.1088/0741-3335/48/2/L01 Google Scholar

13. Lau, Y. Y., "Radiation generated by rotating electron beams," Proceed. Symp. Non-Neutral Plasma Physics, 210-223, Washington, USA, 1988. Google Scholar

14. Kainer, S., J. D. Gaffey, C. P. Price, et al. "Nonlinear wave interactions and evolutions of a ring-beam distribution of energetic electrons," Phys. Fluids, Vol. 31, No. 8, 2283-2284, 1988.
doi:10.1063/1.867003 Google Scholar

15. Kho, T. H., A. T. Lin, and L. Chen, "Gyrophase-coherent electron cyclotron maser," Phys. Fluids, Vol. 31, No. 10, 3120-3126, 1988.
doi:10.1063/1.866968 Google Scholar

16. Kapitanov, A. N., N. V. Obraztsov, L. A. Sukhanova, et al. "Solution of a set of Maxwell-Lorentz equations for a ring relativistic electron beam," Plasma Physics Reports, Vol. 35, No. 6, 510-517, 2009.
doi:10.1134/S1063780X09060087 Google Scholar

17. Girka, V. O., I. O. Girka, and I. V. Pavlenko, "Excitation of azimuthal surface modes by relativistic flows of electrons in high-frequency range," Plasma Physics Reports, Vol. 37, No. 5, 447-454, 2011.
doi:10.1134/S1063780X11040052 Google Scholar

18. Girka, V. O. and S. Yu. Puzyrkov, "Nonlinear interaction of an annular electron beam with azimuthal surface waves," Plasma Physics Reports, Vol. 28, No. 4, 351-358, 2002.
doi:10.1134/1.1469176 Google Scholar

19. Kirichenko, Y. V., "Generation and amplification of electromagnetic waves by an annular electron beam in a radial electric field in free space," Technical Physics, Vol. 45, No. 8, 1096-1097, 2000.
doi:10.1134/1.1307027 Google Scholar

20. Malek, M. F. B. A., J. Lucas, and Y. Huang, "The engineering and construction of a pre-bunched free electron maser," Progress In Electromagnetics Research, Vol. 95, 19-38, 2009.
doi:10.2528/PIER09060803 Google Scholar

21. Anisimov, I. O., M. J. Soloviova, "The evolution of a modulated electron beam in a dense plasma barrier," Plasma Phys. Control. Fusion, Vol. 53, No. 7, 074007, 2011.
doi:10.1088/0741-3335/53/7/074007 Google Scholar

22. Korenev, B. G., Bessel Functions and Their Applications, Chapmen & Hall/CRC Press LLC, Bora Raton, Florida , 2002.

23. Krall, N. A. and A. W. Trivelpiece, Principles of Plasma Physics, McGraw-Hill, New York, 1973.

Prof. Volodymyr Girka

Dr. Sergey Yu. Puzyrkov

Dr. Oleksandr Yu. Nefodov