Two-dimensional finite element full-wave model for wave propagation and dissipation in Earth's magnetosphere

Physics – Plasma Physics

Scientific paper

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[2753] Magnetospheric Physics / Numerical Modeling, [2772] Magnetospheric Physics / Plasma Waves And Instabilities, [7867] Space Plasma Physics / Wave/Particle Interactions

Scientific paper

The most common method to interpret wave observations is ray tracing, which ignores mode conversion and associated kinetic effects that are frequently observed to occur, as well as coherent interference processes, such as diffraction, which can broaden the wave number spectrum. To better interpret multipoint wave observations, we have developed a two-dimensional finite element code that solves the full wave equations in a global magnetospheric geometry. The model targets understanding a range of mode conversion phenomena that are observed to be important in the magnetosphere. We illustrate the capabilities of the code by examining (a) mode conversion at the ion-ion hybrid and Alfven resonances when compressional waves are launched in the outer magnetosphere and (b) mode conversion that results a ion cyclotron waves, launched in the equatorial magnetosphere, propagate along the magnetic field lines toward the ionosphere. We compare the two-dimensional results with expectations based on one-dimensional mode conversion calculations. There are several advantages to using the finite element technique. First, our mesh algorithm allows us to pack extra resolution near singular regions where mode conversion occurs. This is particularly useful when singular regions are ordered not only by field line but also by magnetic field strength (as near the ion-ion hybrid resonance). A second advantage is that the finite element method is that is readily adapted to solve the nonlocal integrodifferential equations that result when kinetic effects are included.

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