Radiative Vs. Magnetic Flux For The Sun-as-a-star

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We study the relationship between full-disk solar radiative flux at different wavelengths and average solar photospheric magnetic flux density, using daily measurements from the Kitt Peak magnetograph and other instruments extending over one or more solar cycles. We use statistical methods to determine the underlying nature of these flux-flux relationships. For total solar irradiance and for continuum radiation from the photosphere, the relationships are non-linear, but for chromospheric and coronal radiation the relationships are linear. We find that scatter plots of radiative flux vs Kitt Peak magnetic flux density show significant variance, due in part to the presence of a temporal component in some of the flux-flux relationships. This temporal relationship arises because an active region with high magnetic field strength evolves, breaking up into small-scale components with low field strength, while the Kitt Peak magnetic field measurements are somewhat insensitive to very strong and very weak magnetic fields. We find that average magnetic flux density measured by Kitt Peak can be used as a proxy for radiative flux, but with limited accuracy.

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