[en] The transverse and longitudinal plasma permittivities, ε^tr and ε^l, are analyzed for the case where the electron collision frequency in the Bhatnagar-Gross-Krook collision integral is proportional to the absolute value of the electron velocity. It is found that, in both the low-and high-frequency limits, the expressions for ε^tr and ε^l derived for the case of a variable electron collision frequency coincide with the classical formulas obtained under the assumption of a constant collision frequency, whereas for frequencies close to the electron collision frequency, these expressions differ significantly from the classical ones

[en] We report a theoretical investigation of monochromatic laser light – thin metal film interaction. The dependences of transmission, reflection and absorption coefficients of an electromagnetic wave on the incidence angle, layer thickness and effective electron collision frequency are obtained. The above coefficients are analysed in the region of resonant frequencies. The resulting formula for the transmission, reflection and absorption coefficients are found to be valid for any angles of incidence. The case of mirror boundary conditions is considered. A formula is derived for contactless measurement of the film thickness by the observed resonant frequencies. (laser applications and other topics in quantum electronics)

[en] An analytic solution to the problem of skin effect in plasma is found for the first time by using a kinetic equation in which the collision frequency is proportional to the absolute value of the electron velocity. Mirror reflection of electrons from the plasma boundary is used as a boundary condition. The calculated expression for the impedance is compared with the classical one

[en] Quantum collisional plasma with an arbitrary degree of degeneracy of the electron gas is considered. Using the exact expression for the transverse electric conductivity of quantum collisional plasma, the magnetic susceptibility is described using the kinetic approach and a formula for calculating Landau diamagnetism is derived. Quantum Maxwellian plasma is considered as a special case. To this end, in the formulas derived, the limit is taken for the chemical potential tending to minus infinity. The properties of the magnetic susceptibility of quantum plasma are compared to those of degenerate and Maxwellian plasmas.

[en] A distribution function for collisionless plasma is derived from the Vlasov kinetic equation in the quadratic approximation with respect to the electromagnetic field. Formulas for calculation of the electric current at an arbitrary temperature (arbitrary degree of degeneration of the electron gas) are deduced. The case of small wavenumbers is considered. It is shown that nonlinearity leads to the generation of an electric current directed along the wave vector. This longitudinal current is orthogonal to the classical transverse current, well known in the linear theory. A distribution function for collisionless quantum plasma is derived from the kinetic equation with the Wigner integral in the quadratic approximation with respect to the vector potential. Formulas for calculation of the electric current at an arbitrary temperature are deduced. The case of small wavenumbers is considered. It is shown that, at small values of the wavenumber, the value of the longitudinal current for quantum plasma coincides with that for classical plasma. The dimensionless currents in quantum and classical plasmas are compared graphically

[en] The problem of the skin effect with arbitrary specularity in Maxwellian plasma with specular-diffuse boundary conditions is solved. A new analytical method is developed that makes it possible to obtain a solution up to an arbitrary degree of accuracy. The method is based on the idea of symmetric continuation of not only the electric field, but also electron distribution function. The solution is obtained in a form of von Neumann series.

[en] The results of studies of monatomic steps on silicon surfaces using in situ ultrahigh vacuum reflection electron microscopy are reviewed. The topics covered include the increase in dynamic step edge stiffness under non-equilibrium conditions; step bunch and step antibunch formation processes; electromigration effects; the anomalously high density of Si(111) adatoms; and incipient epitaxial growth. (reviews of topical problems)

[en] We found the analytical solution to the problem of the skin effect for Maxwell plasma with the use of the kinetic equation, where the frequency of electron collisions is constant. We use the specular reflection of electrons from the surface as a boundary condition. The behavior of impedance near to a plasma resonance is considered. We consider limiting cases of skin effect.

[en] The boundary value problem on the behavior (oscillations) of electron plasma with an arbitrary degree of degeneracy of the electron gas in the half-space subject to diffusive boundary conditions is solved analytically. The kinetic Boltzmann–Vlasov equation with the Bhatnagar–Gross–Krook (BGK) collision integral and the Maxwell equation for the electric field are used. The distribution of electrons and the electric field inside the plasma are obtained as expansions in the eigensolutions of the original system of equations. The coefficients of these equations are found using the boundary conditions.

[en] The fabrication of the periodic structures, that is two-dimensional photonic crystals (2D PhCs) based on Si-materials by electron beam lithography (EBL) technique has been studied. We have investigated basic lithography processes such as designing, exposition, development, etching and others. The developed top-down approach allows close-packed arrays of elements and holes to be formed in nanometre range. This can be used to produce 2D PhCs with emitting micro-cavities (missing holes) with lateral size parameters with an accuracy of about 2% in the Si (100) substrate and in silicon-on-insulator structures. Such accuracy is expected to be sufficient for obtaining the cavities-coupling radiation interference from large areas of 2D PhCs. (paper)