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G. M. Yankovskii, D. V. Kuznetsov, S. E. Kondakov, M. Y. Melnikov
Solution of the inverse problem of light
beating spectroscopy using tikhonov regularisation method for the analysis of
polydisperse suspensions of nanoparticles
Abstract
The results of numerical solution of the
inverse problem of light beating spectroscopy using Tikhonov regularisation
method are presented. The developed algorithm takes into acount the positivity
of the solution and the constant background signal. The regularisation
parameter of the method is determined on the basis of the a priori information
on the amplitude of the noise of the input signal. Reconstructed uni and
multimodal distributions are presented. The effect of the noise of the input
signal, the background signal and the frequency bandwidth of the measured
signal on the characteristics of the reconstructed distributions is discussed.
Key words: Tikhonov regularisation, light
beating spectroscopy, nanoparticles, solution, size distribution.
Copyright (C) Chemistry Dept., Moscow State University, 2002
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