Abstract
A heuristic procedure is proposed for deriving quasi-optical equations for wave beams in anisotropic gyrotropic media with allowance for aberrations, spatial dispersion, and absorption. To solve such equations numerically, a method is developed that generalizes the operator exponent method. The applicability limits of the aberration-free approximation for simulating the propagation of beams in absorbing media are determined. Numerical examples of the propagation of beams in the vicinity of the electron cyclotron resonance in plasmas in actual devices are presented.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
G. V. Pereverzev, Rev. Plasma Phys. 19, 1 (1996).
G. V. Pereverzev, Phys. Plasmas 5, 3529 (1998).
A. A. Balakin, M. A. Balakina, G. V. Permitin, and A. I. Smirnov, Izv. Vyssh. Uchebn. Zaved., Radiofiz. (in press).
G. M. Fraiman, E. M. Sher, A. D. Yunakovsky, and W. Laedke, Phys. D (Amsterdam) 87, 325 (1995).
V. I. Talanov and S. N. Vlasov, Wave Self-Focusing (IPF RAN, Nizhni Novgorod, 1997) [in Russian].
M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1969; Nauka, Moscow, 1970).
I. G. Kondrat’ev, G. V. Permitin, and A. I. Smirnov, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 23, 1195 (1980).
A. V. Timofeev, Usp. Fiz. Nauk 175, 637 (2005) [Phys. Usp. 48, 609 (2005)].
Author information
Authors and Affiliations
Additional information
Original Russian Text © A.A. Balakin, M.A. Balakina, G.V. Permitin, A.I. Smirnov, 2007, published in Fizika Plazmy, 2007, Vol. 33, No. 4, pp. 337–345.
Rights and permissions
About this article
Cite this article
Balakin, A.A., Balakina, M.A., Permitin, G.V. et al. Scalar equation for wave beams in a magnetized plasma. Plasma Phys. Rep. 33, 302–309 (2007). https://doi.org/10.1134/S1063780X07040058
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1134/S1063780X07040058