Magnetic Force-Free Theory: Nonlinear Case

Reconstruction of Solar Coronal Linear Force-Free Magnetic Field

reconstruction of solar coronal linear force-free magnetic field

Calculating and Testing Nonlinear Force-Free Fields

Improvements to an existing method for calculating nonlinear force-free magnetic fields (Wheatland 2006, Solar Phys. 238, 29) are described. In particular a solution of the 3-D Poisson equation using 2-D Fourier transforms is presented. The improved nonlinear force-free method is demonstrated in application to linear force-free test cases with localized non-zero values of the normal component o...

Nonlinear force-free coronal magnetic field modeling scheme based on the direct boundary integral formulation

The boundary integral equation (BIE) method was first proposed by Yan and Sakurai [2000], which is used to extrapolate the nonlinear force-free magnetic field in the solar atmosphere. Recently, Yan and Li [2006] improved the BIE method and proposed the direct boundary integral equation (DBIE) formulation, which represents the nonlinear force-free magnetic field by direct integration of the magn...

A self-consistent nonlinear force-free solution for a solar active region magnetic field

Nonlinear force-free solutions for the magnetic field in the solar corona constructed using photospheric vector magnetic field boundary data suffer from a basic problem: the observed boundary data are inconsistent with the nonlinear force-free model. Specifically, there are two possible choices of boundary conditions on vertical current provided by the data, and the two choices lead to differen...