Аналітичний підхід дослідження діелектричної системи сферичних частинок
Abstract
ANALYTICAL APPROACH OF RESEARCH
DIELECTRIC SYSTEM OF SPHERICAL PARTICLES
S.V. Stetsenko
Relevance of theoretical research heterosystems dielectric characteristics of dispersed inclusions due to their use of modern technology for dielectric spectroscopy problems surface.
Analysis of recent research and publications on the study of the electrical response of heterogeneous environments has a long history, beginning with the work Poisson, Mossotti, Clausius, Lorentz, Maxwell Garnett, Wagner. In the article «Electrodynamic add small particles to electromagnetic radiation» authors Hryshchuk O.Iu., Shkoda N.H., Stetsenko S.V. reviewed the results of studies bilayer small particles to the action of the electromagnetic field in terms of potential practical use. Frequency dependence of the dielectric constant made it possible to get almost full information on the review of the particles to the action of electromagnetic radiation. In the article «Influence of the adsorptive layer of metal particles on their polarizability and light scattering» authors Hryshchuk O.Iu., Stetsenko S.V. reviewed the current state of research of interaction of electromagnetic radiation with metallic nanoparticles and dispersed systems based on them. The effects of metal particles adsorbed layer spherical in its polarizability and enhance Raman scattering molecules in an external electric field.
The aim of the study was to develop theoretical methods of calculation processes of absorption dispersed systems based on dual-layer spherical particles surrounded by some media with different dielectric constants.
Considered a heterogeneous system, consisting of spherical particles placed in a certain environment, which describes the frequency dependent complex permittivity. The field generated images depends on the properties of the system, because the external field, which is the sum of the applied field and the field images, in general, are neither homogeneous nor experimentally controlled. All multipole moments are expressed explicitly by the applied field and the configuration matrix system.
Test results for the effective dielectric constant is accurate without any assumptions about the system configuration. The result is true for cases where the external field is not uniform. In such circumstances, unequal infinite system, images play a crucial role and should be considered accurate. The external field is not uniform and uncertain and depends on the system because of its image. Therefore we can not consider as external field disturbances, which is placed in the system, it should be treated as part of the response system. In such cases, the essential solution for physical boundary problem is to consider only the applied field as a perturbation.
Exact expressions for fields and all terms of multipole moments in the field applied to the flat electrode, and system configuration. The effective dielectric constant depends only on the induced dipole moments, which, in turn, depend on all the multipole moments of the particles and their images. Knowledge of the exact fields in the system is very valuable in the study of complex systems and distributions.
References
Hrechko, L H., Lerman, L. B., Shkoda, N. H. (2004). Efektyvna dielektrychna pronyknist matrychnykh dyspersnykh system z bahatosharovymy vkliuchenniamy: priama ta obernena zadachi [The effective permittivity matrix dispersed systems with multilayered inclusions: direct and inverse problems]. Visnyk Kyiv. un-tu. Seriia: fiz.-mat. Nauky, 2, 181–186.
Hryshchuk, O. u., Shkoda, N. H., Stetsenko, S. V. (2014). Elektrodynamichnyi vidhuk malykh chastynok na elektromahnitne vyprominiuvannia [The effective permittivity matrix dispersed systems with multilayered inclusions: direct and inverse problems]. Nauk. visnyk NUBiP Ukrainy. Seriia: tekhnika ta enerhetyka v APK, 194 (2), 235–243.
Hryshchuk, O. Iu., Stetsenko, S. V. (2014). Vplyv adsorbtsiinoho sharu metalevykh chastynok na yikh poliaryzovanist ta rozsiiannia svitla [Influence of the adsorptive layer of metal particles on their polarizability and light scattering ]. Metalofizyka: novitni tekhnolohii, 36 (3), 391–397.
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