The kinetic approach is applied to develop the Drude-Sommerfeld model for studying of the optical and electrical transport properties of spheroidal metallic nanoparticles, when the free electron path is much greater than the particle size. For the nanoparticles of an oblate or a prolate spheroidal shape there has been found the dependence of the dielectric function and the electric conductivity on a number of factors, including the frequency, the particle radius, the spheroidal aspect ratio and the orientation of the electric field with respect to the particle axes. The oscillations of the real and imaginary parts of the dielectric permeability have been found with increasing of particle size at some fixed frequencies or with frequency increasing at some fixed radius of a nanoparticle. The results obtained in kinetic approach are compared with the known from the classical model.
The local field approach and kinetic equation method is applied to calculate the surface plasmon radiative damping in a spheroidal metal nanoparticle embedded in any dielectric media. The radiative damping of the surface plasmon resonance as a function of the particle radius, shape, dielectric constant of the surrounding medium, and the light frequency is studied in detail. It is found that the radiative damping grows quadratically with the particle radius and oscillates with altering both the particle size and the dielectric constant of a surrounding medium. Much attention is paid to the electron surface-scattering contribution to the plasmon decay. All calculations of the radiative damping are illustrated by examples on the Au and Na nanoparticles.
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