Ds. Yang et G. Bunker, IMPROVED R-SPACE RESOLUTION OF EXAFS SPECTRA USING COMBINED REGULARIZATION METHODS AND NONLINEAR LEAST-SQUARES FITTING, Physical review. B, Condensed matter, 54(5), 1996, pp. 3169-3172
A number of methods have proven to be useful for extended x-ray-absorp
tion fine-structure data analysis of disordered systems. Regularizatio
n methods, which describe the radial distribution function nonparametr
ically, have the advantages of eliminating bias caused by modeling the
distribution with a specific functional form, properly including sphe
rical wave effects, and allowing the imposition of physical constraint
s in a systematic way. In this work we find empirically that the regul
arization method reliably resolves subshells that are unresolved by Fo
urier transforms and provide unbiased starting models for nonlinear le
ast-squares fitting. The method is demonstrated with experimental and
simulated data.