Photospheric and coronal magnetic fields in 1974 - 2015: A comparison of six magnetographs

Photospheric magnetic field has been measured since 1950s and digital synoptic data exists since 1970s. We study the long-term development of photospheric and coronal magnetic fields, using Wilcox Solar Observatory (WSO), Mount Wilson, Kitt Peak, Solis, SOHO/MDI and SDO/HMI measurements of the photospheric magnetic field and the the potential field source surface (PFSS) model. We pay particular attention to the occurrence of the hemispheric asymmetry of the coronal field. The solar and heliospheric magnetic fields are systematically north-south asymmetric. The southward shift of the heliospheric current sheet (HCS) (the so-called Bashful ballerina phenomenon) is a persistent pattern, which occurs typically for about three years during the late declining phase of solar cycle. Multipole analysis of the photospheric magnetic field has shown that the Bashful ballerina is mainly due to the g02 quadrupole term, which is oppositely signed to the dipole moment and reflects the larger magnitude of the southern polar field. The six data sets are in general in a good agreement with each other, but the different spatial resolution causes difference some in results. Moreover, there are number of deviations in different individual data sets that are not related to resolution, e.g., in WSO data and in the current version of Kitt Peak 512 channel magnetograph data. We note that the two lowest harmonic coefficients do not scale with the overall magnitude of photospheric synoptic magnetic maps. Scaling factors based on histogram techniques can be as large as 10 (from Wilcox to HMI), but the corresponding factor in dipole strength is typically less than two. Scaling also depends on the harmonic coefficient. This should be noted, e.g., when using synoptic maps as input for coronal models. We find that, despite the differences between the six different data sets, especially in the measurements at the highest latitudes, they all support the southward shift of the HCS. At the moment, polar fields have reversed and are strengthening especially in the southern hemisphere, leading to the bashful ballerina, but it is not necessary the final condition during the solar minimum after solar cycle 24. Accordingly, it seems that the Ballerina will be bashful even during cycle 24, although final conclusions must wait the later declining phase.