Rotational Components of the Sun's Mean Field

TL;DR

This study uses wavelet transforms to identify time-dependent rotational frequencies in the Sun's magnetic field, revealing complex patterns and flux emergence behaviors linked to the Sun's internal rotation and magnetic dynamics.

Contribution

It introduces wavelet analysis to detect and analyze the Sun's magnetic field rotation frequencies and their temporal variations, providing new insights into magnetic flux emergence and transport.

Findings

Detection of 26.5-30 day periodicities in magnetic field components.

Identification of wave phenomena caused by active region eruptions.

Correlation of flux emergence with specific rotation periods.

Abstract

This paper uses wavelet transforms to look for the rotational frequencies of the Sun's mean line-of-sight magnetic field. For a sufficiently high wavelet frequency, the spectra of the dipole, quadrupole, and hexapole field components each show a time-dependent fine structure with periods in the range of 26.5-30 days and their harmonics. These maps confirm that a large enhancement of 30-day power occurred in the dipole field during 1989-1990, as recorded previously using Fourier techniques (Sheeley 2022). Also, during some years the maps show power at 26.5 days (or its harmonics), that is clearly distinguishable from the 26.9-27.0 day rotation period at the Sun's equator. In at least one case, the 26.5-day period was a wave phenomenon caused by the systematic eruption of active regions at progressively more western locations in the Carrington coordinate system, as if the flux were emerging from a fixed longitude in a faster rotating subsurface layer. Based on previous studies of the mean field (Sheeley et al 1985, Sheeley & DeVore 1986, Sheeley 2022), I conclude that the enhanced wavelet patterns in this paper are regions where magnetic flux is emerging in configurations that strengthen the Sun's horizontal dipole, quadrupole, and hexapole fields, and (in the case of the more slowly rotating patterns) where this flux is being transported to mid-latitudes whose rotation periods are in the range 28-30 days.