Statistics – Computation
Scientific paper
Dec 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008agufmsm53a1659b&link_type=abstract
American Geophysical Union, Fall Meeting 2008, abstract #SM53A-1659
Statistics
Computation
2753 Numerical Modeling, 2772 Plasma Waves And Instabilities (2471), 2784 Solar Wind/Magnetosphere Interactions, 7867 Wave/Particle Interactions (2483, 6984)
Scientific paper
Field-aligned eigenmodes can be excited by mode conversion of compressional waves propagating across magnetospheric field lines. At low frequencies, the mode conversion occurs at the Alfven resonance, but mode conversion may also occur for higher frequencies at the ion-ion hybrid resonance when multiple ions are present. The mode-converted waves propagate along the magnetic field and set up a field-aligned eigenmode between the ionospheres. We examine the spectrum of field-aligned eigenmodes and their eigenfrequencies using numerical and analytical techniques based on an extension of the low frequency Alfvenic field-line resonance theory. For the computations, we use an a axisymmetric dipole magnetic field along with an accurate model for electron number density data between 3 and 9 Earth radii L shells. The eigenvalue problem is solved using a shooting code combined with an analytic continuation into the complex plane around the singularities at ion cyclotron resonances. We examine the dependence of the eigenmodes, which can be global or spatially localized along the field line, on the concentration of heavy ions. Some modes are also damped because of wave absorption at the cyclotron frequency. We discuss implications of the solutions for observed Pc1 pulsations and discuss the localization of eigenmodes in the equatorial magnetosphere.
Bird T.
Johnson Jesse
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