1989
DOI: 10.1029/ja094ia02p01479
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Global mode ULF pulsations in a magnetosphere with a nonmonotonic Alfvén velocity profile

Abstract: For a nonmonotonic Alfvén velocity profile, the global mode of the magnetosphere can be shown to couple to multiple resonant field lines. The mode structure itself is greatly altered by introduction of nonmonotonicity. Because of the rapid decrease of density at the plasmapause, the variation of the Alfvén velocity naturally separates the magnetosphere into inner and outer parts. ULF wave perturbations are found to be trapped in the Alfvén velocity valleys and, under certain circumstances, ULF wave amplitudes … Show more

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Cited by 116 publications
(92 citation statements)
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“…Yet the ionosphere is a significant energy sink for ULF waves. Furthermore, it is known that some wave energy can cross the plasmapause into the inner magnetosphere (Takahashi et al, 1990), a result that has also been explained theoretically (Allan et al, 1986b;Zhu and Kivelson, 1989). Neither the real plasmapause, nor the real magnetopause are the ideal reflectors assumed in the simulation, nor is the real magnetosphere azimuthally symmetric as assumed in the model.…”
Section: Comparison With Computer Simulationsmentioning
confidence: 82%
See 1 more Smart Citation
“…Yet the ionosphere is a significant energy sink for ULF waves. Furthermore, it is known that some wave energy can cross the plasmapause into the inner magnetosphere (Takahashi et al, 1990), a result that has also been explained theoretically (Allan et al, 1986b;Zhu and Kivelson, 1989). Neither the real plasmapause, nor the real magnetopause are the ideal reflectors assumed in the simulation, nor is the real magnetosphere azimuthally symmetric as assumed in the model.…”
Section: Comparison With Computer Simulationsmentioning
confidence: 82%
“…Computer simulations and numerical solutions use simplified models (Allan et al, 1985(Allan et al, , 1986aInhester, 1987;Lee and Lysak, 1989;Zhu and Kivelson, 1989) but they reveal various important features of cavity eigenmode oscillations. A comparison of our observations with previous analyses of the global mode support our interpretation of the wave mode present in our data.…”
Section: Comparison With Computer Simulationsmentioning
confidence: 99%
“…The modelling work of Allan et al (1986) and Zhu and Kivelson (1989) suggests that lowfrequency spectral peaks can occur at low latitude if a realistic plasmapause structure is included when modelling the magnetosphere. If the fundamental eigenfrequency of the magnetospheric cavity/waveguide is ∼ 1.3 mHz, as suggested by Samson et al (1992), then 1.6 mHz is a plausible frequency for such a mode (Allan et al, 1986;Zhu and Kivelson, 1989). The low-latitude peak could thus be evidence of such a compressional mode, or could be a field-line resonance driven by the cavity mode within the plasmasphere at the lower latitude of the Wick radar field of view.…”
Section: Discussionmentioning
confidence: 99%
“…When there is a sharp inward density gradient at the plasmapause, a cavity mode localized within the plasmasphere can be established. Quantitative analyses of the mode have been presented using a box magnetosphere (Zhu and Kivelson, 1989), a cylindrical magnetosphere (Allan et al, 1986b) and, most recently, a dipole magnetosphere (Fujita and Glassmeier, 1995;Lee, 1996). The simulation by Lee (1996), shown in Fig.…”
Section: Pc 3±4 Wavesmentioning
confidence: 99%