On the scaling of the solar incident flux

Abstract

It was recently found that spectral solar incident flux (SIF) as a function of the ultraviolet wavelengths exhibits 1/f-type power-law correlations. In this study, an attempt was made to explore the residues of the SIF with respect to the Planck law over a wider range of wavelengths, from 115.5 to 629.5 nm. Using spectral, Haar and Detrended Fluctuation analyses, we show that over the range from 10-20 nm to the maximum lag (≈ 500 nm), the SIF residues have a scaling regime with fluctuation exponent H ≈ 0.37 but with high intermittency (C1 ≈ 0.16, multifractal index α ≈ 1.7) and spectral exponent ≈ 1.46. Over the shorter wavelengths range we found on the contrary low intermittency (C1 ≈ 0) with spectral exponent ≈ 1 and H ≈ 0.