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Bedrikova E.A.,Moscow State Regional University | Latyshev A.V.,Moscow State Regional University
Journal of Physics: Conference Series | Year: 2017

The analytical solution of the second Stokes problem is found. The case of the variable amplitude of fluctuation of a surface is considered. The linear kinetic equation with boundary conditions is derived. Eigen solutions of the equation are found. Properties of dispersion function are investigated. The general solution of the kinetic equation with boundary conditions in terms of the eigen solutions decomposition is composed. © Published under licence by IOP Publishing Ltd.


Belyaev V.,Peoples' Friendship University of Russia | Solomatin A.,Moscow State Regional University | Chausov D.,Moscow State Regional University
Optics Express | Year: 2013

Phase retardation of both extraordinary and ordinary polarized rays passing through a liquid crystal (LC) cell with homogeneous and inhomogeneous LC director distribution is calculated as a function of the LC pretilt angle θ0 on the cell substrates in the range 0 ≤ θ0 ≤ 90°. The LC pretilt on both substrates can have the same or opposite direction, thereby forming homogeneous, splay, or bend director configurations. At the same pretilt angle value, the largest phase retardation ΔΦ is observed in splay LC cells, whereas the smallest phase retardation is observed in bend cells. For the θ0 values close to 0, 45°, and 90°, analytical approximations are derived, showing that phase retardation depends on LC birefringence variation. © 2013 Optical Society of America.


Latyshev A.V.,Moscow State Regional University | Yushkanov A.A.,Moscow State Regional University
Theoretical and Mathematical Physics | Year: 2011

We find the permittivity of a degenerate electron gas for a collisional plasma. We use the Wigner-Vlasov-Boltzmann kinetic equation with the collision integral in the relaxation form in the coordinate space. We study the Kohn permittivity singularities and reveal their spreading in the collisionless plasma. © 2011 Pleiades Publishing, Ltd.


Latyshev A.V.,Moscow State Regional University | Yushkanov A.A.,Moscow State Regional University
Plasma Physics Reports | Year: 2012

Expressions for the transverse electric conductivity and transverse permittivity of collisional quantum plasma for an arbitrary value of the degeneracy factor of the electron gas are derived using the Wigner-Vlasov-Boltzmann kinetic equation with the Bhatnagar-Gross-Krook collision integral. Different particular cases are analyzed. Special attention is paid to the case of completely degenerate quantum plasma. The results obtained are compared with Lindhard's formula. © 2012 Pleiades Publishing, Ltd.


Latyshev A.V.,Moscow State Regional University | Yushkanov A.A.,Moscow State Regional University
Plasma Physics Reports | Year: 2015

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. © 2015, Pleiades Publishing, Ltd.


Bedrikova E.A.,Moscow State Regional University | Latyshev A.V.,Moscow State Regional University
Russian Physics Journal | Year: 2014

Evaporation of a binary mixture is considered for the case when the evaporating component is a Bose gas. An analytical solution of the problem of the chemical potential jump of a Bose gas is obtained for the case when the molecular collision frequency of the evaporating component is a variable quantity. The dependence of the coefficient of the chemical potential jump on the evaporation coefficient is investigated. The concentration of the evaporating component is assumed to be much less than that of the carrier gas. A graphical study of the coefficient of the chemical potential jump is presented. © 2014, Springer Science+Business Media New York.


Latyshev A.V.,Moscow State Regional University | Yushkanov A.A.,Moscow State Regional University
Theoretical and Mathematical Physics | Year: 2014

In the framework of the Mermin approach, we obtain formulas for the longitudinal electric conductivity in a quantum collisional plasma with a collision frequency depending on the momentum. We use a kinetic equation in the momentum space in the relaxation approximation. We show that as the Planck constant tends to zero, the derived formula transforms into the corresponding formula for a classical plasma. We also show that as the frequency of collisions between plasma particles tends to zero (the plasma transforms into a collisionless plasma), the derived formula transforms into the well-known Klimontovich-Silin formula for the collisionless plasma. We show that if the collision frequency is constant, then the derived formula for the permittivity transforms into the well-known Mermin formula. © 2014 Pleiades Publishing, Ltd.


Latyshev A.V.,Moscow State Regional University | Yushkanov A.A.,Moscow State Regional University
Journal of Optical Technology (A Translation of Opticheskii Zhurnal) | Year: 2012

This paper generalizes the theory of the interaction of an electromagnetic H wave with a metallic film included between two dielectric media. Two field configurations are considered: symmetric and antisymmetric. Based on such configurations, expressions are obtained for the reflectance, absorptance, and transmittance of an electromagnetic wave through the film. A graphical study of these coefficients is presented. © 2012 Optical Society of America.


Latyshev A.V.,Moscow State Regional University | Yushkanov A.A.,Moscow State Regional University
Quantum Electronics | Year: 2015

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. © 2015 Kvantovaya Elektronika and Turpion Ltd.


Latyshev A.V.,Moscow State Regional University | Yushkanov A.A.,Moscow State Regional University
Theoretical and Mathematical Physics | Year: 2013

We derive formulas for the transverse electrical conductivity and the permittivity in a quantum collisional plasma using the kinetic equation for the density matrix in the relaxation approximation in the momentum space. We show that the derived formula becomes the classical formula when the Planck constant tends to zero and that when the electron collision rate tends to zero (i.e., the plasma becomes collisionless), the derived formulas become the previously obtained Lindhard formulas. We also show that when the wave number tends to zero, the quantum conductivity becomes classical. We compare the obtained conductivity with the conductivity obtained by Lindhard and with the classical conductivity © 2013 Pleiades Publishing, Ltd.

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