Abstract
Solar active phenomena observed in the solar corona are widely thought to be driven by the release of free magnetic energy accumulated in the coronal magnetic field. In order to understand these phenomena, we need to observe the three-dimensional (3D) coronal magnetic field. However, state-of-the-art instruments for solar observation can be used only for the photospheric magnetic field, as the 3D coronal magnetic field cannot be measured directly. Therefore, we need to numerically extrapolate the magnetic field above the photosphere as a boundary value problem based on the observed photospheric magnetic field. Hinode can provide the photospheric magnetic fields from space with unprecedented accuracy, which enables us to extrapolate the 3D magnetic field with the best possible accuracy. We report the several achievements based on the 3D extrapolated magnetic field.
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