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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
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.


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.


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.

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