Dispersion properties of a magnetoactive plasma-filled waveguide in the vicinity of the upper hybrid frequency. Part II

Plasma Physics Reports - Tập 40 - Trang 283-289 - 2014
V. I. Shcherbinin1, V. I. Tkachenko1,2, G. I. Zaginaylov1,2, K. Schuenemann3
1National Science Center Kharkiv Institute of Physics and Technology, Kharkiv, Ukraine
2[Karazin Kharkiv National University, Kharkiv, Ukraine]
3Technische Universität Hamburg-Harburg, Hamburg, Germany

Tóm tắt

The dispersion properties of a magnetoactive plasma-filled waveguide in the vicinity of the upper hybrid frequency ω1 = (ω 2 + ω 2 )1/2 (ω1 − δ < ω < ω1) are studied. It is shown that, in this frequency range, the eigenmodes of the plasma-filled waveguide are represented by the families of EH and cyclotron HE modes, the interaction between which is weak everywhere except for the vicinities of certain points in the (ω, k z ) plane. The equations describing the behavior of the dispersion curves in these vicinities are derived. It is shown that, as a result of the interaction, the high-frequency branches of EH modes acquire the cutoff frequencies corresponding to the high-order propagating HE modes. It is established that the anisotropic HE+l mode can also interact with cyclotron HE modes. In this case, its dispersion curve enters the lower half-vicinity of the upper hybrid frequency, where it is modified due to the interaction, and then leaves it.

Tài liệu tham khảo

E. G. Aleksov and S. T. Ivanov, Sov. J. Plasma Phys. 14, 883 (1988). Z. F. Ding, L. W. Chen, and Y. N. Wang, Phys. Plasmas 11, 1168 (2004). S. T. Ivanov and E. G. Alexov, Phys. Scr. 40, 58 (1989). S. Liu, J. K. Lee, and D. Zhu, Sci. China, Ser. E 39, 485 (1996). V. I. Shcherbinin, V. I. Tkachenko, G. I. Zaginaylov, and K. Shuenemann, Plasma Phys. Rep. 40, 221 (2014). G. I. Zaginaylov, V. I. Shcherbinin, and K. Shuenemann, Plasma Phys. Rep. 31, 596 (2005). V. I. Tkachenko and V. I. Shcherbinin, J. Kharkiv Univ., Phys. Ser. Nucl. Part. Fields 979(4), 56 (2011). Ya. B. Fainberg and M. F. Gorbatenko, Sov. Phys. Tech. Phys. 4, 487 (1959). E. Jahnke, F. Emde, and F. Losch, Tables of Higher Functions (McGraw-Hill, New York, 1960). M. V. Kuzelev, A. A. Rukhadze, and P. S. Strelkov, Plasma Relativistic Microwave Electronics (Mosk. Gos. Tekhn. Univ. im. N.E. Baumana, Moscow, 2002) [in Russian]. A. N. Antonov, V. A. Buts, I. K. Koval’chuk, O. F. Kovpik, E. A. Kornilov, V. G. Svichenskii, and D. V. Tarasov, Plasma Phys. Rep. 38, 636 (2012). M. A. Lavrent’ev and B. V. Shabat, Methods of Complex Function Theory (Nauka, Moscow, 1987) [in Russian].