A theory of transverse small-scale standing Alfvén waves in an axially symmetric magnetosphere

Leonovich, A. S.; Mazur, V. A.

doi:10.1016/0032-0633(93)90055-7

Cited by 118 publications

(177 citation statements)

References 20 publications

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“…Both studies have shown that spatial and temporal properties of the analyzed wave fields are in good agreement with main features predicted by the theoretical framework of Leonovich and Mazur (1990, 1993, 1995, and Mager and Klimushkin (2006). However, some details of this framework concerning high-m waves are not reported until now, neither in ground based data nor in space, e.g.…”

Section: Discussionmentioning

confidence: 59%

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Spatio-temporal structure of a poloidal Alfvén wave detected by Cluster adjacent to the dayside plasmapause

et al. 2008

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Abstract.A case study of a poloidal ULF pulsation near the dayside plasmapause is presented based on Cluster observations of magnetic and electric fields. The pulsation is detected close to the magnetic equatorial plane at L shells L=[4.4, 4.6] and oscillates with a frequency of f =23 mHz. Investigating the wave energy flux reveals the standing wave nature of the observed pulsation. An estimation of the azimuthal wave number exposes a narrow azimuthal structure of the wave field with m≈160. Spatial and temporal characteristics of the pulsation are analyzed in detail by representing data in a field line related coordinate system and a rangetime-intensity representation. This allows an estimation of both the spatial extension of the wave field in the radial direction and its temporal decay rate. The analysis furthermore indicates that the same field lines are excited to a standing wave oscillation twice. Furthermore an accurate identification of a phase jump of the wave field across L shells is possible. Comparing the radial localization of the detected wave with theoretically expected field line eigenfrequencies reveals that the wave field is confined in the Alfvén resonator at the outer edge of the plasmapause.

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Section: Discussionmentioning

confidence: 59%

“…The radial wave number of Alfvénic perturbations in this case is given by (e.g. Leonovich and Mazur, 1993;Klimushkin, 2000) …”

Section: Introductionmentioning

confidence: 99%

Spatio-temporal structure of a poloidal Alfvén wave detected by Cluster adjacent to the dayside plasmapause

et al. 2008

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“…Both longitudinal and transverse structure of MHDwaves were studied in Leonovich and Mazur (1993) (hereinafter Paper I) which contains a theory discribing these waves in a cold plasma with ®nite curvature of ®eld lines. A speci®c feature of the AlfveÂ n waves in a curved magnetic ®eld is the discrepancy between poloidal and toroidal frequencies of ®eld line oscillations which is the reason for a transversal dispersion of AlfveÂ n waves (Leonovich and Mazur, 1990).…”

Section: Introductionmentioning

confidence: 99%

Theory of azimuthally small-scale hydromagnetic waves in the axisymmetric magnetosphere with finite plasma pressure

Klimushkin

1998

Ann Geophysicae

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Abstract. The structure of monochromatic MHD-waves with large azimuthal wave number m ) 1 in a twodimensional model of the magnetosphere has been investigated. A joint action of the ®eld line curvature, ®nite plasma pressure, and transversal equilibrium current leads to the phenomenon that waves, standing along the ®eld lines, are travelling across the magnetic shells. The wave propagation region, the transparency region, is bounded by the poloidal magnetic surface on one side and by the resonance surface on the other. In their meaning these surfaces correspond to the usual and singular turning points in the WKB-approximation, respectively. The wave is excited near the poloidal surface and propagates toward the resonance surface where it is totally absorbed due to the ionospheric dissipation. There are two transparency regions in a ®nite-beta magnetosphere, one of them corresponds to the AlfveÂ n mode and the other to the slow magnetosound mode.

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“…As for the ordinary field-line resonance, the influence of the parallel inhomogeneity was studied by, for example, Southwood and Kivelson (1986), Chen and Cowley (1989), Mazur (1989, 1993), and Fedorov et al (1995). The general result is that the wave field global structure qualitatively is the same as in the 1-D inhomogeneous case, at least for small azimuthal wave numbers (for high m numbers, see Leonovich and Mazur, 1993). As for multi-component plasmas, essential differences can be expected due to gyrofrequency changes along the field line, so moving along a field line we must intersect a point where ω=ω c , at least for sodium ions.…”

Section: Discussionmentioning

confidence: 99%

“…It is important to note that this standing wave pattern appears at any wave frequency, and thus is it not associated with any quantization condition of the frequency ω or any other value. In the ω/ω ci =0 case an oscillatory structure arises when the field line curvature (Leonovich and Mazur, 1993;Klimushkin, 1998) or the magnetic field shear are taken into account, but in these cases the wave is travelling rather than standing across magnetic shells.…”

Section: The Structure Of the Wave Fieldmentioning

confidence: 99%

Axisymmetric Alfvén resonances in a multi-component plasma at finite ion gyrofrequency

Klimushkin

Mager

Glaßmeier³

2006

Ann. Geophys.

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Abstract. This paper deals with the spatial structure of zero azimuthal wave number ULF oscillations in a 1-D inhomogeneous multi-component plasma when a finite ion gyrofrequency is taken into account. Such oscillations may occur in the terrestrial magnetosphere as Pc1-3 waves or in the magnetosphere of the planet Mercury. The wave field was found to have a sharp peak on some magnetic surfaces, an analogy of the Alfvén (field line) resonance in one-fluid MHD theory. The resonance can only take place for waves with frequencies in the intervals ω<ω ch or 0 <ω<ω cp , where ω ch and ω cp are heavy and light ions gyrofrequencies, and 0 is a kind of hybrid frequency. Contrary to ordinary Alfvén resonance, the wave resonance under consideration takes place even at the zero azimuthal wave number. The radial component of the wave electric field has a pole-type singularity, while the azimuthal component is finite but has a branching point singularity on the resonance surface. The later singularity can disappear at some frequencies. In the region adjacent to the resonant surface the mode is standing across the magnetic shells.

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A theory of transverse small-scale standing Alfvén waves in an axially symmetric magnetosphere

Cited by 118 publications

References 20 publications

Spatio-temporal structure of a poloidal Alfvén wave detected by Cluster adjacent to the dayside plasmapause

Spatio-temporal structure of a poloidal Alfvén wave detected by Cluster adjacent to the dayside plasmapause

Theory of azimuthally small-scale hydromagnetic waves in the axisymmetric magnetosphere with finite plasma pressure

Axisymmetric Alfvén resonances in a multi-component plasma at finite ion gyrofrequency

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