Solution of system of multidimensional differential equations in X for identification of gold nanoparticles on fibers with elimination of uncertainty

There are the results of the compilation and solution of a system of multidimensional differential correlation equations of distribution ellipses in the identification of colloidal gold nanoparticles on polyester fibers with multi-dimensional correlation components of Raman polarization spectra. A p...

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Bibliographic Details
Published in:Journal of physics. Conference series 2018-05, Vol.1015 (3), p.32029
Main Authors: Dobrovolskaya, T A, Emelyanov, V M, Emelyanov, V V
Format: Article
Language:English
Subjects:
Differential equations
Fibers
Gold
Mathematical analysis
Nanoparticles
Physics
Polarization
Polyesters
Silver
Uncertainty
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Summary:There are the results of the compilation and solution of a system of multidimensional differential correlation equations of distribution ellipses in the identification of colloidal gold nanoparticles on polyester fibers with multi-dimensional correlation components of Raman polarization spectra. A proposed method is to increase the accuracy and speed of identification of silver nanoparticles on polyester fibers, taking into account the longitudinal and transverse polarization of laser radiation over the entire spectral range, analyzing in sequence and in order simultaneously two peaks along the X-transverse and along the Y-along the fibers. During a solution of the system using a nonlinear quadratic and differential equation with respect to X, an uncertainty arises, the elimination of which is numerical addition Δ = + 0.02985
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1015/3/032029