Fitting by Orthonormal Polynomials of Silver Nanoparticles Spectroscopic Data
1 Institute of Nuclear Research and Nuclear Energy, BAS, Sofia 1784, bul.Tzarigradsko chaussee 72
2 Institute of Electronics, BAS, Sofia 1784, bul.Tzarigradsko chaussee 72
3 Joint Institute of Nuclear Research, 141980 Dubna, Moscow region, Russia
Published online: 14 February 2018
Our original Orthonormal Polynomial Expansion Method (OPEM) in one-dimensional version is applied for first time to describe the silver nanoparticles (NPs) spectroscopic data. The weights for approximation include experimental errors in variables. In this way we construct orthonormal polynomial expansion for approximating the curve on a non equidistant point grid. The corridors of given data and criteria define the optimal behavior of searched curve. The most important subinterval of spectra data is investigated, where the minimum (surface plasmon resonance absorption) is looking for. This study describes the Ag nanoparticles produced by laser approach in a ZnO medium forming a AgNPs/ZnO nanocomposite heterostructure.
© The Authors, published by EDP Sciences, 2018
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