Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-27T14:36:08.043Z Has data issue: false hasContentIssue false
  • English
  • Français

Evolution of FMS and Alfven waves produced by the initial disturbance in the FMS waveguide

Published online by Cambridge University Press:  06 July 2012

I. S. DMITRIENKO
I. S. DMITRIENKO*
Affiliation:
Institute of Solar-Terrestrial Physics, SB RAS, P.O. Box 291, Irkutsk 664033, Russia ([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

A description of the evolution of the initial disturbance in the fast magnetosonic (FMS) waveguide in transversely inhomogeneous plasma, given a weak coupling between FMS and Alfven modes, is made. It is shown that the Fourier transform of the FMS waveguide disturbance with respect to the coordinates along which plasma is homogeneous can be presented as a superposition of collective modes of the leading approximation with respect to the weak FMS–Alfven wave coupling from the initial instant of time. Frequencies of such collective modes and dependence of their structures on the coordinate along the inhomogeneity are found without taking the FMS–Alfven resonance into consideration, and the mode decrements are calculated using the perturbation technique. On the basis of such a representation of the FMS waveguide disturbance, the evolution of Alfven waves generating with waveguide mode packets produced by the initial disturbance of an arbitrary longitudinal structure is described. It is shown that the longitudinal structure of the Alfven disturbance generated by the collective mode packet is determined by the ratio between longitudinal scales of the initial disturbance and scales specified by resonance conditions (the resonance longitudinal wave number and the width of the range of the resonance longitudinal wave numbers). The structures of Alfven disturbances for the cases of such different ratios are described.

Type
Papers
Information
Journal of Plasma Physics , Volume 79 , Issue 1 , February 2013 , pp. 7 - 17
Copyright
Copyright © Cambridge University Press 2012

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Allan, W. 2000 Hydromagnetic wave propagation and coupling in a magnetotail waveguide. J. Geophys. Res. 105, 317–328.CrossRefGoogle Scholar
Allan, W. and Wright, A. N. 1998 Hydromagnetic wave propagation and coupling in a magnetotail waveguide. J. Geophys. Res. 103, 2359–2368.CrossRefGoogle Scholar
Barston, E. M. 1964 Electrostatic oscillations in inhomogeneous cold plasmas. Ann. Phys. 29, 282.CrossRefGoogle Scholar
Deforest, C. E. and Gurman, J. B. 1998 Observation of quasi-periodic compressive waves in solar polar plumes. ApJL 501, L217.CrossRefGoogle Scholar
Grossmann, W. and Tataronis, J. A. 1973 Decay of MHD waves by phase mixing II: the Theta-Pinch in cylindrical geometry. Z. Physik 261, 217–236.CrossRefGoogle Scholar
Lysak, R. L., Song, Y. and Jones, T. W. 2009 Propagation of Alfven waves in the magnetotail during substorms. Ann. Geophys. 27, 2237–2246.CrossRefGoogle Scholar
Mazur, N. G., Fedorov, E. N. and Pilipenko, V. A. 2010 MHD waveguides in space plasma. Plasma Phys. Rep. 36 (7), 609–626.CrossRefGoogle Scholar
Mills, K. J. and Wright, A. N. 2000 Trapping and excitation of modes in the magnetotail. Phys. Plasmas 7, 1572.CrossRefGoogle Scholar
Sedlachek, Z. 1971a Electrostatic oscillations in cold inhomogeneous plasma. 1. Differential equation approach. J. Plasma Phys. 5, 239.CrossRefGoogle Scholar
Sedlachek, Z. 1971b Electrostatic oscillations in cold inhomogeneous plasma. 2. Integral equation approach. J. Plasma Phys. 6, 187.CrossRefGoogle Scholar
Tataronis, J. A. and Grossmann, W. 1973 Decay of MHD waves by phase mixing. I. The sheet-pinch in plane geometry. Z. Physik 261, 203–216.CrossRefGoogle Scholar
Uberoi, C. 1972 Alfven waves in inhomogeneous magnetic fields. Phys. Fluids 15, 1673.CrossRefGoogle Scholar
Verwichte, E., Nakariakov, V. M. and Cooper, F. C. 2005 Transverse waves in a post-flare supra arcade. Astron. Astrophys. 430 (7), L65–68.CrossRefGoogle Scholar
Wright, A. N. and Allan, W. 2008 Simulations of Alfven waves in the geomagnetic tail and their auroral signatures. J. Geophys. Res. 113, A02206.CrossRefGoogle Scholar
Zhu, X. M. and Kivelson, M. G. 1988 Analytic formulation and quantitative solutions of the coupling ULF problemy. J. Geophys. Res. 93, 8602.CrossRefGoogle Scholar