A ULF Wave Model in a Dipole Geometry for Relativistic Electron Dynamics Studies

Details A ULF Wave Model in a Dipole Geometry for Relativistic Electron Dynamics Studies A ULF Wave Model in a Dipole Geometry for Relativistic Electron Dynamics Studies

Dec 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005agufmsm51a1269d&link_type=abstract

American Geophysical Union, Fall Meeting 2005, abstract #SM51A-1269

Physics

2720 Energetic Particles: Trapped, 2752 Mhd Waves And Instabilities (2149, 6050, 7836), 2753 Numerical Modeling, 2774 Radiation Belts

Scientific paper

In order to investigate wave particle interactions between relativistic electrons and ULF waves in the magnetosphere, it is important that the wave model used is representative of observed wave phenomena. That is, the wave model should contain the physics governing Alfven wave propagation, reflection, mode conversion and absorption found within the magnetosphere / ionosphere system. To this end, a wave model is presented in which a spectral approach is taken to numerically solve for ULF compressional waves incident from the magnetopause coupled to field line resonances in a dipole magnetic field. This involves the decomposition of the wave fields into a spectrum of field aligned eigenfunctions for the toroidal and poloidal shear wave polarizations, which helps to reduce the number of dimensions in the partial differential equation (PDE) resulting from the cold plasma MHD equations. A further simplification is obtained by making a slowly varying envelope approximation for the temporal evolution of the ULF waves. The result is a set of 2D PDEs in the radial and time directions which describe the radial amplitude structure of each field aligned eigenfunction, which are solved numerically and summed to give the final solution. This model is used to provide the wave field input for the calculation of electron trajectories in a dipole geometry. Initial results from a 3D trajectory calculation and a bounce average calculation are presented.

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