At first it is shown that a magnetic field being force-free, i.e. satisfying V • B = aB, with a = constant (ct r O) in the whole exterior of the Sun cannot have a finite energy content and cannot be determined uniquely from only one magnetic field component given at the photosphere. Then the boundar
Calculation of force-free magnetic field with non-constant α
✍ Scribed by Takashi Sakurai
- Publisher
- Springer
- Year
- 1981
- Tongue
- English
- Weight
- 794 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0038-0938
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✦ Synopsis
A numerical method is developed for solving the force-free magnetic field equation, V • B = aB, with spatially-varying c~. The boundary conditions required are the distribution of Bn (viz. normal component of the field on the photosphere) as well as the value of a in the region of positive (or negative) B~. Examples of calculations are presented for a simple model of a solar bipolar magnetic region. It is found that the field configuration and the energy stored in the field depend crucially on the distribution of a. The present method can be applied to a more complex configuration observed on the Sun by making use of actual magnetic field measurements.
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