1. 3-D Magnetic Field Configuration of the 2006 December 13 Flare Yang Guo & Ming-De Ding Department of Astronomy, Nanjing University, China Thomas Wiegelmann Max-Planck-Institut für Sonnensystemforschung, Germany Hui Li Purple Mountain Observatory, Nanjing, China Beijing 2007 December 8–10

2. General Information of the Flare  Location: S07W22  Active Region: NOAA10930  Start Time: 2006/12/13 02:14:00  Peak Time: 02:40:00  Stop Time: 02:57:00  GOES Class: X3.4

3. Vector Magnetic Field obtained by SOT/SP onboard Hinode  Bigger rectangle: FOV for 3-D calculation  Smaller rectangle: FOV for TRACE and SOT/BFI images  Spatial Resolution: 0.3”  Scan Time: ~1 hour  FOV: 328”×164“

4. 3-D 2-D How to Reconstruct the 3-D Field

5. Nonlinear Force-free Field Extrapolation Method  Photospheric boundary condition  Basic equations of force-free field  Optimization method  Wheatland, M.S., Sturrock, P.A., and Roumeliotis, G. 2000, ApJ, 540, 1150.  Wiegelmann, T. 2004, Sol. Phys. 219, 87.

6.  Observation time: Dec 12, 2006 20:45 - 21:15  (left panel) top view  (right column) side view Extrapolation Result Red lines: core field Blue lines: lower envelope field Black lines: higher envelope field

7. Dec 12, 2006 20:45 – 21:15 Dec 13, 2006 04:45 – 05:15

8.  (top row) before flare Dec 12, 2006 20:45 – 21:15  (bottom row) after flare Dec 13, 2006 04:45 – 05:15 Dips Feature before the Flare

9. Magnetic Energy Release

10. Energy release: Magnetic Energy Release

11. Shear Angle Changes

12. XRT onboard Hinode TRACE 1600 Ca II H

13. Tether-Cutting Model Moore et al. 2001, ApJ

14. Thank You!