An MHD simulation study of the poloidal mode field line resonance in the Earth's dipole magnetosphere

The poloidal mode field line resonance in the Earth`s dipole magnetic field is investigated using cold plasma ideal MHD simulations in dipole geometry. In order to excite the poloidal mode resonance, the authors use either an initial or a continuous velocity perturbation to drive the system. The perturbation is localized at magnetic shell L=7 with plasma flow in the radial direction (electric field component in the azimuthal direction). It is found that with the initial perturbation alone, no poloidal mode resonance can be obtained and the initially localized perturbation spreads out across all magnetic L shells. With the continuous perturbation, oscillating near the poloidal resonance frequency, a global-scale poloidal cavity mode can be obtained. For the first time, a localized guided poloidal mode resonance is obtained when a radial component of electric field is added to the initial perturbation such that the curl of the electric field is everywhere perpendicular to the background dipole magnetic field. During the localized poloidal resonance, plasma vortices parallel/antiparallel to the background dipole magnetic field B{sub o} lead to circular plasma flow perpendicular to B{sub o}. This circular flow, elongated radially, results in twisting of magnetic field flux tubes, which, in turn, leads to themore » slowdown of the circular plasma flow and reversal of the plasma vortices. The energy associated with the localized poloidal resonance is conserved as it shifts back and forth between the oscillating plasma vortices and the alternatively twisted magnetic flux tubes. In the simulations the eigenfunctions associated with the localized poloidal resonance are grid-scale singular functions. This result indicates that ideal MHD is inadequate to describe the underlying problem and nonideal MHD effects are needed for mode broadening. 39 refs., 10 figs.« less

[1]  H. Radoski,et al.  Axisymmetric Plasmasphere Resonances: Toroidal Mode , 1966 .

[2]  D. Christoffel,et al.  Diurnal properties of the horizontal geomagnetic micropulsation field in New Zealand , 1966 .

[3]  H. Radoski Magnetic toroidal resonances and vibrating field lines , 1966 .

[4]  H. Radoski,et al.  Poloidal Hydromagnetic Plasmaspheric Resonances , 1966 .

[5]  H. Radoski Highly asymmetric MHD resonances: The guided poloidal mode , 1967 .

[6]  V. Formisano,et al.  Small amplitude waves in high β plasmas , 1969, Journal of Plasma Physics.

[7]  Alfven waves in inhomogeneous magnetic fields , 1972 .

[8]  D. Orr,et al.  Magnetic pulsations within the magnetosphere: A review , 1973 .

[9]  A. Hasegawa,et al.  Kinetic processes in plasma heating by resonant mode conversion of Alfvén wave , 1976 .

[10]  David J. Southwood,et al.  A general approach to low‐frequency instability in the ring current plasma , 1976 .

[11]  R. McPherron,et al.  Geomagnetic pulsations observed simultaneously on three geostationary satellites , 1978 .

[12]  R. McPherron,et al.  The statistical character of Pc 4 magnetic pulsations at synchronous orbit , 1981 .

[13]  C. Russell,et al.  Standing hydromagnetic waves observed by ISEE 1 and 2: Radial extent and harmonic , 1982 .

[14]  David J. Southwood,et al.  Charged particle behavior in low-frequency geomagnetic pulsations, 2. Graphical approach , 1982 .

[15]  W. Hughes,et al.  Theory of hydromagnetic waves in the magnetosphere , 1983 .

[16]  W. Hughes,et al.  A second harmonic geomagnetic field line resonance at the inner edge of the plasma sheet: GEOS 1, ISEE 1, and ISEE 2 observations , 1984 .

[17]  D. Baker,et al.  Energetic electron flux pulsations observed at geostationary orbit: Relation to magnetic pulsations , 1985 .

[18]  W. Allan,et al.  Magnetospheric coupling of hydromagnetic waves ‐ Initial results , 1985 .

[19]  E. M. Poulter,et al.  Impulse-excited hydromagnetic cavity and field-line resonances in the magnetosphere , 1986 .

[20]  B. Inhester Numerical modeling of hydromagnetic wave coupling in the magnetosphere , 1987 .

[21]  D. Klumpar,et al.  Observations of intense ULF pulsation activity near the geomagnetic Equator during quiet times , 1988 .

[22]  A. Hasegawa,et al.  On magnetospheric hydromagnetic waves excited by energetic ring‐current particles , 1988 .

[23]  Kazue Takahashi Multisatellite studies of ULF waves , 1988 .

[24]  Liu Chen,et al.  On field line resonances of hydromagnetic Alfven waves in dipole magnetic field , 1989 .

[25]  Dong-Hun Lee,et al.  Magnetospheric ULF wave coupling in the dipole model: The impulsive excitation , 1989 .

[26]  T. Chan Interaction of energetic ring current protons with magnetospheric hydromagnetic waves , 1989 .

[27]  Kazue Takahashi,et al.  Ion flux oscillations associated with a radially polarized transverse Pc 5 magnetic pulsation , 1990 .

[28]  Brian J. Anderson,et al.  A statistical study of Pc 3–5 pulsations observed by the AMPTE/CCE Magnetic Fields Experiment, 1. Occurrence distributions , 1990 .

[29]  R. Lysak,et al.  Effects of azimuthal asymmetry on ULF waves in the dipole magnetosphere , 1990 .

[30]  R. Lysak,et al.  Monochromatic ULF wave excitation in the dipole magnetosphere , 1991 .

[31]  A. Hasegawa,et al.  Kinetic theory of geomagnetic pulsations 1. Internal excitations by energetic particles , 1991 .

[32]  Dong-Hun Lee,et al.  Impulsive excitation of ULF waves in the three‐dimensional dipole model: The initial results , 1991 .

[33]  R. Anderson,et al.  An ISEE/Whistler model of equatorial electron density in the magnetosphere , 1992 .

[34]  D. Klumpar,et al.  The spatial extent of radial magnetic pulsation events observed in the dayside near synchronous orbit , 1992 .

[35]  B. Anderson Statistical studies of Pc 3-5 pulsations and their relevance for possible source mechanisms of ULF waves , 1993 .

[36]  Liu Chen,et al.  Global structures of Alfven-ballooning modes in magnetospheric plasmas , 1994 .

[37]  A. Chan,et al.  Anisotropic Alfvén‐ballooning modes in Earth's magnetosphere , 1994 .