An Efficient Method for Magnetic Field Extrapolation Based on a Family of Analytical Three-Dimensional Magnetohydrostatic Equilibria

Area of Science:

• Solar physics
• Plasma physics
• Astrophysics

Background:

• Direct measurement of the solar corona's magnetic field is currently impossible with sufficient accuracy.
• Coronal magnetic field models typically rely on extrapolation from photospheric magnetograms.
• There's a growing need for magnetohydrostatic (MHS) models to capture non-force-free regions in the solar atmosphere.

Purpose of the Study:

• To develop an improved extrapolation method for coronal magnetic fields.
• To enable a transition from non-force-free to force-free regions in solar atmospheric models.
• To enhance the accuracy and efficiency of coronal magnetic field modeling.

Main Methods:

• Utilizing a family of analytical three-dimensional magnetohydrostatic (MHS) equilibria.
• Implementing an extrapolation technique based on these MHS solutions.
• Employing asymptotic forms of solutions to improve numerical efficiency.

Main Results:

• A novel extrapolation method based on analytical MHS equilibria is presented.
• The method allows for modeling the transition between non-force-free and force-free coronal regions.
• Numerical efficiency is enhanced through the use of asymptotic solution forms.

Conclusions:

• The developed MHS extrapolation method is effective and practically useful for coronal magnetic field modeling.
• The approach offers a computationally efficient alternative or complement to purely numerical methods.
• Validation through artificial boundary condition testing and observational data confirms the method's utility.