{"title":"On the Influence of a Dynamic Diffusion Coefficient with the Feibelman Parameter on the Quantum Nonlocal Effect of Hybrid Plasmon Nanoparticles","authors":"Yu. A. Eremin, V. V. Lopushenko","doi":"10.1134/s2070048224700017","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>In this paper, we consider the problem of polarized light scattering by a hybrid nanoparticle consisting of a dielectric core and plasmonic gold shell. A quantum effect of nonlocality arises in the shell, which is considered in the framework of the semiclassical generalized nonlocal optical response (GNOR) theory. Based on the discrete source method (DSM), a mathematical model of the GNOR theory with a dynamic diffusion coefficient is formulated and implemented. The dynamic diffusion coefficient is determined using the Feibelman quantum surface parameter. In the calculations, the values of the Feibelman parameter are taken from the experimental data available. A comparative analysis of the results of the GNOR theory with constant and dynamic diffusion coefficients is performed. It is established that the results obtained for the dynamic diffusion coefficient and for the traditional semiclassical model with a constant coefficient can differ significantly, especially when studying the behavior of fields near the surface of a hybrid particle in the frequency domain.</p>","PeriodicalId":38050,"journal":{"name":"Mathematical Models and Computer Simulations","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Models and Computer Simulations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1134/s2070048224700017","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
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Abstract
In this paper, we consider the problem of polarized light scattering by a hybrid nanoparticle consisting of a dielectric core and plasmonic gold shell. A quantum effect of nonlocality arises in the shell, which is considered in the framework of the semiclassical generalized nonlocal optical response (GNOR) theory. Based on the discrete source method (DSM), a mathematical model of the GNOR theory with a dynamic diffusion coefficient is formulated and implemented. The dynamic diffusion coefficient is determined using the Feibelman quantum surface parameter. In the calculations, the values of the Feibelman parameter are taken from the experimental data available. A comparative analysis of the results of the GNOR theory with constant and dynamic diffusion coefficients is performed. It is established that the results obtained for the dynamic diffusion coefficient and for the traditional semiclassical model with a constant coefficient can differ significantly, especially when studying the behavior of fields near the surface of a hybrid particle in the frequency domain.
期刊介绍：
Mathematical Models and Computer Simulations is a journal that publishes high-quality and original articles at the forefront of development of mathematical models, numerical methods, computer-assisted studies in science and engineering with the potential for impact across the sciences, and construction of massively parallel codes for supercomputers. The problem-oriented papers are devoted to various problems including industrial mathematics, numerical simulation in multiscale and multiphysics, materials science, chemistry, economics, social, and life sciences.
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