An Ideal MHD Model for ULF Waves in a Compressed Dipole Magnetic Field

Physics

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[2730] Magnetospheric Physics / Magnetosphere: Inner, [2752] Magnetospheric Physics / Mhd Waves And Instabilities, [2772] Magnetospheric Physics / Plasma Waves And Instabilities

Scientific paper

A linear model for global scale ULF waves under the cold plasma ideal MHD approximation in a compressed dipole magnetic field is presented. This model uses a non-orthogonal field aligned coordinate system and solves the ideal MHD wave equation using a spectral method for the field aligned and azimuthal (MLT) directions. The slowly varying envelope approximation is used to model temporal variations. In order to simplify the governing equations, the background magnetic field model is restricted to a curl-free configuration, such as the vacuum field of Stern (1985). This model contains the dipole-like magnetic field lines within a paraboloid conducting shell representing the magnetopause, which produces a magnetic field with strong day/night asymmetry. The wave model is driven by a monochromatic source located along the magnetopause boundary, which launches MHD fast mode ULF waves into the magnetosphere. Sharply peaked Field Line Resonance (FLR) structures are found to form at discrete locations within the magnetosphere in response to the fast mode driver. This presentation discusses how the locations and local electric field polarizations of these peaked structures compare with predictions made by the generalized Shear Alfvén Wave eigenmode model of Rankin et. al (2006). Stern, D. P., Parabolic Harmonics in Magnetospheric Modeling The Main Dipole and the Ring Current, J. Geophys. Res., 90, 10,851-10,863, 1985. Rankin, R., K. Kabin, R.Marchand, Alfvénic Field Line Resonances in Arbitrary Magnetic Field Topology, Adv. Space. Res. 38 1720-1729, 2006.

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