Method for Analysis of Asymmetric Spectra Based on the Information Entropy Model

Abstract

The possibility is considered of using asymmetric distributions to analyze emission/absorption spectra, which enables revealing the structure of polymodal spectra. A necessary condition for existence of the spectrum is a nonnegative relative increment of tis amplitude (emission/absorption intensity). The use of asymmetric distributions in spectrum shape simulation involves a certain type of differential equation, where the left-hand side is a relative amplitude increment and the right-hand side is the decreasing nonlinear function. As a result, a model is obtained, in which the signal amplitude increment is defined by classical results of statistical physics (L. Boltzmann, M Planck) and information theory (C. Shannon) that correspond to the limited growth model (Gompertz model). On the basis of the anamorphism of this model, relaxation parameters of the spectrum are determined, which are treated as objective characteristics of emission/absorption spectra. The result is illustrated by the analysis of the luminescence spectrum of deionized water.