volume | PIER Journals

Abstract

Azimuthal Surface Waves (ASWs) are electromagnetic waves of the surface type, which propagate across an external steady magnetic field in plasma filled metal waveguides. The interaction between extraordinary ASWs and an electron beam that rotates along Larmor orbits in the gap between the plasma column and the metal wall is studied here. The initial stage of the ASW excitation is studied analytically and numerically. Growth rates of the ASW beam instability are analyzed as functions of the parameters of the plasma filled waveguide immersed in a steady magnetic field with toroidal nonuniformity. This nonuniformity leads also to the appearance of corrections to the ASW eigen frequencies. It is shown that the beam-wave interaction in a toroidally nonuniform steady magnetic field is not weaker than in the case of a uniform magnetic field. However, in the studied case, the efficiency of the power transfer from the beam into the excited waves becomes restricted due to the electron drift in the nonuniform magnetic field.

1. Humphries, S., Charged Particle Beams, John Wiley and Sons Inc., 1990.

2. Kuzelev, M. V. and A. A. Rukhadze, Electrodynamics of Dense Electron Beams in Plasma, 1990.

3. Kainer. , S., J. D. Gaffey, C. P. Price, et al. "Nonlinear wave interactions and evolution of a ring-beam distribution of energetic electrons ," Physics of Fluids, Vol. 31, 2238-2248, 1988.
doi:10.1063/1.867003 Google Scholar

4. Saito, H. and J. S. Wurtele, "The linear theory of the circular free-electron laser," Physics of Fluids, Vol. 30, 2209-2220, 1987.
doi:10.1063/1.866155 Google Scholar

5. Sabry, R. and S. K. Chaudhuri, "Formulation of emission from relativistic free electrons in a ring structure for electro-optical applications," Progress In Electromagnetics Research, Vol. 50, 135-161, 2005.
doi:10.2528/PIER04052001 Google Scholar

6. Destler, W. W., E. Chojnacki, R. F. Hoeberling, et al. "High-power microwave generation from large-orbit devices," IEEE Transactions on Plasma Science, Vol. 16, 71-89, 1988.
doi:10.1109/27.3797 Google Scholar

7. Kovalev, N. F., N. G. Kolganov, A. V. Palitsin, and M. I. Fuks, "Relativistic BWO with cyclotron selection of an asymmetric wave," Proceedings of the International Workshop Strong Microwaves in Plasmas, Vol. 2, 845-850, 2000 . Google Scholar

8. Shkvarunets, A. G., S. Kobayashi, Y. Carmel, et al. "Operation of a relativistic backward-wave oscillator ¯lled with a preionized high-density radially inhomogeneous plasma," IEEE Transactions on Plasma Science, Vol. 26, No. 3, 905-917, 1998.
doi:10.1109/27.700800 Google Scholar

9. Bratman, V. L., G. G. Denisov, Y. K. Kalynov, et al. "Novel types of cyclotron resonance devices," Proceedings of the International Workshop Strong Microwaves in Plasmas, Vol. 2, 683-702, 2000. Google Scholar

10. Vlasov, A. N., A. G. Shkvarunets, J. C. Rodgers, et al. "Overmoded GW-class surface-wave microwave oscillator," IEEE Transactions on Plasma Science, Vol. 28, No. 3, 505-560, 2000. Google Scholar

11. Girka, V. O., I. O. Girka, A. N. Kondratenko, and V. I. Tkachenko, "Azimuthal surface waves of magnetoactive plasma waveguides," Soviet Journal of Communications Technology and Electronics, Vol. 33, 37-41, 1988. Google Scholar

12. Girka, V. O., I. O. Girka, A. V. Girka, and I. V. Pavlenko, "Theory of azimuthal surface waves propagating in nonuniform waveguides," Journal of Plasma Physics, Vol. 77, 493-519, 2011.
doi:10.1017/S0022377810000644 Google Scholar

13. Chojnacki, R. and W. W. Destler, "Microwave radiation from a low-energy rotating electron beam in an azimuthally periodic magnetic wiggler field," IEEE Journal of Quantum Electronics, Vol. 23, 1605-1609, 1987.
doi:10.1109/JQE.1987.1073551 Google Scholar

14. Girka, V. O. and I. O. Girka, "Effect of toroidal magnetic field variations on the spectra of azimuthal surface waves in metal waveguides entirely filled with plasma ," Plasma Physics Reports, Vol. 28, 190-195, 2002.
doi:10.1134/1.1458985 Google Scholar

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

16. Aliev, Y. M., H. Schluter, and A. Shivarova, Guided-wave Produced Plasmas, Springer, 2000.
doi:10.1007/978-3-642-57060-5

17. Ramos-Mendieta, F. and P. Halevi, "Surface electromagnetic waves in two-dimensional photonic crystals: E®ect of the position of the surface plane," Phys. Rev. B, Vol. 59, No. 23, 15112-15120, 1999.
doi:10.1103/PhysRevB.59.15112 Google Scholar

18. Maier , S. A., Plasmonics: Fundamentals and Applications, Springer, 2007.

19. Abramowitz, M., I. Stegun, and , Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, National Bureau of Standards, Applied Mathematics Series 55, , 1972.

20. Karpov, S. Y. and S. N. Stolyarov, "Propagation and transformation of electromagnetic waves in one-dimensional periodic structures ," Physics-Uspekhi, Vol. 36, 1-22, 1993.
doi:10.1070/PU1993v036n01ABEH002061 Google Scholar

21. Aleksandrov, A. F., L. S. Bogdankevich, and A. A. Rukhadze, Principles of Plasma Electrodynamics, Springer-Verlag, 1984.
doi:10.1007/978-3-642-69247-5

21. Girka, I. O., V. O. Girka, and I. V. Pavlenko, "In°uence of the plasma column cross-section non-circularity on the excitation of the azimuthal surface waves in electron cyclotron frequency range by annular electron beam ," Progress In Electromagnetics Research M, Vol. 26, 39-53, 2012. Google Scholar

Prof. Volodymyr Girka

Dr. Igor Oleksandrovych Girka

Dr. Alexander Vitaliyevich Kostenko

Dr. Ivan Viktorovych Pavlenko