**AAS 200th meeting, Albuquerque, NM, June 2002**

*Session 20. Pre-eruptive Magnetic Structures*

Oral, Monday, June 3, 2002, 10:00-11:30am, San Miguel
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## [20.08] Green Function Solutions For Reconstructing Coronal Magnetic Field From Magnetogram's Three Components

*H. Ji (BBSO/NJIT), M. Song (Purple Mountain Observatory, China), H. Wang (BBSO/NJIT)*

In this paper, a newly developed method is presented for
calculating linear force free coronal magnetic field that is
consistent with the observed three components of the
magnetic field. In terms of linear equation theory, the
solutions are given in an integration form which consists of
two parts: source functions and a Green function. Instead of
using the observed magnetic field as the source function, we
use totally six unknown source functions. By making the
force-free field match the three components of the magnetic
field of a magnetogram, we get a set of linear algebraic
equations from which the source functions are solved out. We
use the well-known boundary finite element method to
discretize the integration solutions.

Since the computed magnetic fields decrease very rapidly, we
use only one thin layer of the computed fields, and then use
the fields' values on the top plane of this layer as
boundary conditions of next thin layer. This stratification
computing method is tested by applications to a known linear
force free field with a quadrupolar configuration and an
observed magnetogram by BBSO. Also, this method is compared
with other methods. The testing and comparing results show
that the method is reliable.

This work is supported by NSF under grants ATM-0076602,
ATM-9903515 and ATM-0086999, NASA under grants NAG5-9682,
NAG5-9738 and NAG5-10910, and ONR under grant
N00014-97-1-1037.

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Bulletin of the American Astronomical Society, **34**

© 2002. The American Astronomical Soceity.