Fitting by Orthonormal Polynomials of Silver Nanoparticles Spectroscopic Data

Fitting by Orthonormal Polynomials of Silver Nanoparticles Spectroscopic Data

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 expa...

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Main Authors: Bogdanova Nina, Koleva Mihaela
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:EPJ Web of Conferences
Online Access:https://doi.org/10.1051/epjconf/201817304003
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spelling doaj-b7139d16422648918a7f66bf14b2c7b42021-08-02T09:46:54ZengEDP SciencesEPJ Web of Conferences2100-014X2018-01-011730400310.1051/epjconf/201817304003epjconf_mmcp2018_04003Fitting by Orthonormal Polynomials of Silver Nanoparticles Spectroscopic DataBogdanova NinaKoleva MihaelaOur 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.https://doi.org/10.1051/epjconf/201817304003
collection DOAJ
language English
format Article
sources DOAJ
author Bogdanova Nina
Koleva Mihaela
spellingShingle Bogdanova Nina
Koleva Mihaela
Fitting by Orthonormal Polynomials of Silver Nanoparticles Spectroscopic Data
EPJ Web of Conferences
author_facet Bogdanova Nina
Koleva Mihaela
author_sort Bogdanova Nina
title Fitting by Orthonormal Polynomials of Silver Nanoparticles Spectroscopic Data
title_short Fitting by Orthonormal Polynomials of Silver Nanoparticles Spectroscopic Data
title_full Fitting by Orthonormal Polynomials of Silver Nanoparticles Spectroscopic Data
title_fullStr Fitting by Orthonormal Polynomials of Silver Nanoparticles Spectroscopic Data
title_full_unstemmed Fitting by Orthonormal Polynomials of Silver Nanoparticles Spectroscopic Data
title_sort fitting by orthonormal polynomials of silver nanoparticles spectroscopic data
publisher EDP Sciences
series EPJ Web of Conferences
issn 2100-014X
publishDate 2018-01-01
description 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.
url https://doi.org/10.1051/epjconf/201817304003
work_keys_str_mv AT bogdanovanina fittingbyorthonormalpolynomialsofsilvernanoparticlesspectroscopicdata
AT kolevamihaela fittingbyorthonormalpolynomialsofsilvernanoparticlesspectroscopicdata
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