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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.
Moscow University Chemistry Bulletin.
2013, Vol. 54, No. 5, P. 278
   

Copyright (C) Chemistry Dept., Moscow State University, 2002
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