Mode Conversion of Solar p-Modes In Non-Vertical Magnetic Fields

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Sunspots absorb and scatter incident - and -modes. One suggested absorption mechanism is mode conversion to slow magnetoacoustic-gravity waves, which carry some of the energy down magnetic field lines into the interior, or, less preferentially, up into the overlying atmosphere. Assuming uniform vertical magnetic field, this mechanism easily explains -mode absorption, but cannot fully account for the observed absorption of -modes, especially beyond the first few radial orders. Recently, we have calculated the efficiency of mode conversion in uniform non-vertical magnetic fields assuming two dimensional propagation, where the Alfvén waves decouple. In moderately inclined field ( ) at higher frequencies ( ), we found significant absorption enhancements - up to an order of magnitude. Using these two dimensional calculations, Cally, Crouch, and Braun constructed a simplified model for the interaction between a sunspot and its surroundings. They found excellent agreement with the observational -mode absorption and phase shift data. In this investigation, we determine the efficiency of mode conversion in non-vertical magnetic field with three dimensional propagation, where fast and slow magnetoacoustic-gravity waves and Alfvén waves are all coupled.

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