Wavelet analysis of a magnetogram

Mathematics

Scientific paper

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Magnetic Signatures, Solar Physics, Sun, Wavelet Analysis, Entropy, Fractals, Scaling Laws, Transformations (Mathematics), Turbulence Models

Scientific paper

A quiet-Sun magnetogram is analyzed with an orthogonal wavelet transform, which allows an entropy measure to be defined. The entropy measure of the magnetogram as a function of spatial scale obeys a scaling law, which leads to a fractal dimension of Df = 1.7. Furthermore, the entropy scaling law is directly related to the intermittency of magnetic features, which increases for decreasing spatial scales, as expected for a turbulent signal. In this context, the scaling law parameter can be interpreted as a fractional reduction in volume from one step of the turbulent cascade to the next.

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