Electrodynamic Calculation of Effective Electromagnetic Parameters of a Dielectric Medium with Metallic Nanoparticles of a Given Size


Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

Abstract

The frequency dependence of the effective complex permittivity and effective complex permeability of a heterostructure based on a dielectric medium containing metallic nanoparticles of spherical shape is calculated by an original method. In contrast to the Bruggeman [21] and the Maxwell Garnett [17] approaches, which use the quasi-static approximation in calculations, a nonuniform distribution of electromagnetic fields inside metallic particles is calculated, which allows the analysis of the electromagnetic parameters of the heterostructure not only as a function of frequency but also as a function of the nanoparticle size. It is shown that the plasmon resonant frequency decreases with increasing both the size and the concentration of particles in the heterostructure. It is also shown that a dielectric medium containing nonmagnetic metallic nanoparticles exhibits diamagnetic properties. In this case, the position of the maximum on the frequency dependence of the imaginary part of the magnetic susceptibility coincides with the relaxation frequency of charge carriers. The calculated spectra of the real and imaginary components of the permittivity of the heterostructure with a size of metallic particles less than 10 nm are in good agreement with Bruggeman calculations; however, the agreement with Maxwell Garnett calculations is observed only at nanoparticle concentrations lower than 10–6.

About the authors

B. A. Belyaev

Kirensky Institute of Physics, Federal Research Center KSC, Siberian Branch,
Russian Academy of Sciences; Siberian Federal University; Reshetnev Siberian State University of Science and Technology

Author for correspondence.
Email: belyaev@iph.krasn.ru
Russian Federation, Krasnoyarsk, 660036; Krasnoyarsk, 660041; Krasnoyarsk, 660037

V. V. Tyurnev

Kirensky Institute of Physics, Federal Research Center KSC, Siberian Branch,
Russian Academy of Sciences; Siberian Federal University

Email: belyaev@iph.krasn.ru
Russian Federation, Krasnoyarsk, 660036; Krasnoyarsk, 660041

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2018 Pleiades Publishing, Inc.