International Conference “Mathematical Modeling and Computational Physics, 2017” (MMCP2017)

Fitting by orthogonal polynomials of silver nanoparticles spectroscopic data

4 Jul 2017, 14:15

15m

Mathematical methods and application software for modeling complex systems and engineering (II)

Speaker

Mrs Nina Bogdanova (INRNE, BAS, Sofia)

Description

Nina Bogdanova1 and Mihaela Koleva2 1 INRNE, BAS, Sofia, Email:nibogd@inrne.bas.bg 2 IE, BAS, Sofia, Email:mihaela_ek@yahoo.com Our original Orthonormal Polynomial Expansion Method (OPEM) [1] in one-dimensional version is applied for first time to describe the silver nanoparticles spectroscopic data [2,3]. The experimental errors in variables are included in weights for approximation - different in every point. In this way we construct orthogonal (orthonormal ) polynomials for presenting the curve. The corridors of given data by the help of the weights define the optimal behavior of sought for curve with the help of some criteria. We have received four experimental curves in thousands points for analysis. We have chosen one subinterval in one of them. The most important subinterval of spectra data is investigated, where the minimum (surface plasmon resonance absorption) is looking for. The received results from our numerical experiments are compared with other theoretical curves for the data. We hope that with our description we have pointed the experimental work to regular direction. References.: 1. Nina Boganova and Stefan Todorov, "New approximating results for data with errors in both variables", in J. OF PHYSICS OF PARTICLES AND NUCLEUS LETTERS, JINR, DUBNA, 2015, vol.12 No.3, pp.358-388. 2. Koleva M.E., Nedyalkov N.N., Fukata N., Jevasuwan W., Amoruso, S..“Laser nanostructuring for plasmon enhancement of Ag/ZnO optical characteristics”, 2017, Proceedings of SPIE - The International Society for Optical Engineering, 10226, 1022609. 3. Koleva M.E., Nedyalkov N.N., Atanasov P.A., Gerlach J.W., Hirsch D., Prager A., Rauschenbach, B., Fukata, N., Jevasuwan, W. “Porous plasmonic nanocomposites for SERS substrates fabricated by two-step laser method”,2016, Journal of Alloys and Compounds, 665, pp. 282-287.

Short biography note

1. Nina Bogdanova, Associate professor in INRNE, BAS, Sofia and LIT, JINR

2. Mihaela Koleva, Associate professor, Institute of Electronics, BAS, Sofia and
   National Institute for Materials Science, 1-1 Namiki, Tsukuba, 305-0044 (Japan)

Presentation materials

Slides

BOGDANOVA-PREZ.pdf