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Abstract: Formulas of efficient relaxation time are obtained for the cases when the free length of electrons is less or comparable with the characteristic dimensions of metallic regions. The frequency dispersion of optical characteristics of spherical bimetallic particles is calculated near plasma resonance in the absence of quantum-size effects. Retaining the style of common description of metallic particles based on the Mie–Drude theories, the frequency dependence of electric dipole polarizability of a two-layered metallic nanosphere was analyzed. The appearance of two polarizability maxima is the result of a difference in core and shell metals. The calculations are conducted for the following particles immersed into teflon: Au@Ag, Ag@Au, Au@Pt, Pt@Au, and Pt@Pd. It is demonstrated that the optical characteristics of bimetallic particles can be controlled by means of changing their composition and volumetric metal content. Cross-sections of absorption and scattering, as well as optical radiation efficiency of the particles in a wide spectrum range are calculated. Possible temperature of bimetallic particles at the absorption of an electromagnetic wave (for the photothermal therapy of malignant tumors) is estimated.

The transmission of infrared electromagnetic waves through quasi-homogeneous thin metal films is investigated within the diagonal response approximation. An expression for the dielectric function is derived in the framework of the finite-depth potential well model with due regard for the size dependence of the Fermi energy. The transmittance of the films is calculated, and the results of the calculations are compared with experimental data. The calculations are performed for Al, Au, and Ag.

A version of the effective Lagrangian method is proposed, which proves to be more effective than the well-known Schwinger-de Witt method for solving self-consistent problems concerning polarization of the matter field vacuum by an isotropic gravitational field. The main result of the paper is computation of polarizationinduced corrections of fourth order in space-time curvature and its derivatives, for scalar and vector massive fields.