Abstract
The propagation of MHD plasma waves in a sheared magnetic field is investigated. The problem is solved using a simplified model: a cold plasma is inhomogeneous in one direction, and the magnetic field lines are straight. The waves are assumed to travel in the plane perpendicular to the radial coordinate (i.e., the coordinate along which the plasma and magnetic field are inhomogeneous). It is shown that the character of the singularity at the resonance surface is the same as that in a homogeneous magnetic field. It is found that the shear gives rise to the transverse dispersion of Alfvén waves, i.e., the dependence of the radial component of the wave vector on the wave frequency. In the presence of shear, Alfvén waves are found to propagate across magnetic surfaces. In this case, the transparent region is bounded by two turning points, at one of which, the radial component of the wave vector approaches infinity and, at the other one, it vanishes. At the turning point for magnetosonic waves, the electric and magnetic fields are finite; however, the radial component of the wave vector approaches infinity, rather than vanishes as in the case with a homogeneous field.
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References
D. J. Southwood, Planet. Space Sci. 22, 483 (1974).
L. Chen and A. Hasegawa, J. Geophys. Res. 79, 1024 (1974).
A. S. Potapov and V. A. Mazur, in Solar Wind Sources of Magnetospheric Ultra-Low-Frequency Waves, Ed. by M. J. Engebretson, K. Takahashi, and M. Scholer (American American Geophysical Union, Washington, 1994), Geophysical Monograph, Vol. 81, p. 135.
H. J. Singer, W. J. Hughes, and C. T. Russel, J. Geophys. Res. 87, 3519 (1982).
J. A. Ionson, Astrophys. J. 226, 650 (1978).
A. V. Timofeev and K. Yu. Kharitonov, Fiz. Plazmy 15, 674 (1989) [Sov. J. Plasma Phys. 15, 389 (1989)].
P. E. Moroz, Fiz. Plazmy 13, 558 (1987) [Sov. J. Plasma Phys. 13, 317 (1987)].
W. Grossmann and J. A. Tataronis, J. Phys. 261, 217 (1973).
L. Chen and A. Hasegawa, Phys. Fluids 17, 1399 (1974).
A. E. Lifshits and E. N. Fedorov, Dokl. Akad. Nauk SSSR 287, 90 (1986).
A. S. Leonovich and V. A. Mazur, Fiz. Plazmy 15, 660 (1989) [Sov. J. Plasma Phys. 15, 381 (1989)].
E. N. Fedorov, N. G. Mazur, and V. A. Pilipenko, Fiz. Plazmy 21, 333 (1995) [Plasma Phys. Rep. 21, 311 (1995)].
A. L. Krylov and A. F. Lifshitz, Planet. Space Sci. 32, 481 (1984).
A. N. Wright, J. Geophys. Res. 97, 6429 (1992).
A. N. Wright and M. J. Thompson, Phys. Plasmas 1, 691 (1994).
A. S. Leonovich and V. A. Mazur, Planet. Space Sci. 41, 697 (1993).
D. Yu. Klimushkin, Fiz. Plazmy 23, 931 (1997) [Plasma Phys. Rep. 23, 858 (1997)].
A. Salat and J. A. Tataronis, J. Geophys. Res. 105, 13055 (2000).
D. P. Stern, J. Geophys. Res. 99, 17169 (1994).
G. Bateman, MHD Instabilities (MIT Press, Cambridge, 1978; Énergoatomizdat, Moscow, 1982).
A. S. Leonovich and V. A. Mazur, J. Geophys. Res. 106, 3919 (2001).
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Translated from Fizika Plazmy, Vol. 28, No. 4, 2002, pp. 368–374.
Original Russian Text Copyright © 2002 by Mager, Klimushkin.
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Mager, P.N., Klimushkin, D.Y. Propagation of MHD waves in a plasma in a sheared magnetic field with straight field lines. Plasma Phys. Rep. 28, 335–341 (2002). https://doi.org/10.1134/1.1469174
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DOI: https://doi.org/10.1134/1.1469174