A. Saiz et Vj. Martinez, MULTIFRACTAL ANALYSIS OF THE ATOMIC SPECTRAL-LINE SERIES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(3), 1996, pp. 2431-2437
We have used the multifractal approach for the characterization of the
spectral line series of energized atoms. We show how the wavelength d
istribution of lines follows the characteristic scaling of the multifr
actal sets. This technique provides us with a way of describing the pr
operties of the clustering of lines in the spectra. We have used a mul
tiplicative multifractal model to test the reliability of the method w
hen applied to the usual number of lines of experimentally obtained sp
ectra. By means of the multiscaling approach we can control the robust
ness of the method when applied to sets of lines censored below a give
n density threshold.