Abstract
The distribution of photospheric longitudinal magnetic fields in a solar active region can be considered to be a natural surface in a mathematical sense. Just as with landscapes on the Earth, the surface may be a fractal Brownian surface (FBS). A method suggested in the paper can manifest whether the surface is an FBS or not. The method has been applied to the longitudinal magnetic fields in AR 5988 on March 24, 1990 and AR 6233 on August 30, 1990, in which the observational characteristics are quite different. The testing results indicate that the distributions of longitudinal magnetic field in both regions are not in agreement with the FBS model
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