Solution of inverse problem of light beating spectroscopy using Tikhonov method of regularization for analyzing polydisperse suspensions of nanoparticles

The results of a numerical solution of the inverse problem of light beating spectroscopy using the Tikhonov regularization method are presented. The developed algorithm takes into account the positivity of the solution and the constant background signal. The regularization parameter of the method is...

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Bibliographic Details
Published in:Moscow University chemistry bulletin 2013-09, Vol.68 (5), p.238-245
Main Authors: Yankovskii, G. M., Kuznetsov, D. V., Kondakov, S. E., Melnikov, M. Ya
Format: Article
Language:English
Subjects:
Chemistry
Chemistry and Materials Science
Chemistry/Food Science
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Summary:The results of a numerical solution of the inverse problem of light beating spectroscopy using the Tikhonov regularization method are presented. The developed algorithm takes into account the positivity of the solution and the constant background signal. The regularization parameter of the method is determined based on the a priori information on the noise amplitude of the input signal. The results of the reconstruction of model uni-, bi-, and multimodal distributions are presented. For examples of numerically generated spectra, the effects of the measured spectrum noise, background signal, and frequency bandwidth of the signal measurement on the characteristics of the reconstructed distributions are studied.
ISSN:0027-1314
1935-0260
DOI:10.3103/S0027131413050088