Using 150 active regions, the paper finds helicity and energy are concentrated low in the corona and proposes an 81 Mm extrapolation cutoff for 97% retention.
Helicity Observation of Weak and Strong Fields
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abstract
We report in this letter our analysis of a large sample of photospheric vector magnetic field measurements. Our sample consists of 17200 vector magnetograms obtained from January 1997 to August 2004 by Huairou Solar Observing Station of the Chinese National Astronomical Observatory. Two physical quantities, $\alpha$ and current helicity, are calculated and their signs and amplitudes are studied in a search for solar cycle variations. Different from other studies of the same type, we calculate these quantities for weak ($100G<|B_z|<500G$) and strong ($|B_z|>1000G$) fields separately. For weak fields, we find that the signs of both $\alpha$ and current helicity are consistent with the established hemispheric rule during most years of the solar cycle and their magnitudes show a rough tendency of decreasing with the development of solar cycle. Analysis of strong fields gives an interesting result: Both $\alpha$ and current helicity present a sign opposite to that of weak fields. Implications of these observations on dynamo theory and helicity production are also briefly discussed.
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Distribution of magnetic helicity and energy with height in solar atmosphere
Using 150 active regions, the paper finds helicity and energy are concentrated low in the corona and proposes an 81 Mm extrapolation cutoff for 97% retention.