Dimensional renormalization without noninteger dimensions
Dimensional renormalization without noninteger dimensions
D.A. Slavnov
A renormalization scheme for generating functionals of Green functions is obtained. The suggested scheme is a version of the dimensional renormalization, but it uses finite integer positive dimensions only.
Show AbstractFinslerian invariant and coordinate lengths in the inertial reference frame
Finslerian invariant and coordinate lengths in the inertial reference frame
G.S. Asanov
Basing on Finslerian invariances, temporal and spatial scales in inertial reference frames are defined. The respective Finslerian metric function is indicated, and the Finslerian deformation coefficients are calculated.
Show AbstractRegions of noise-immune data reception over ionospheric radio communication links with selective excitation of characteristic waves
Regions of noise-immune data reception over ionospheric radio communication links with selective excitation of characteristic waves
V.V. Balinov, Yu.V. Berezin, S.E. Polishchuk, D.E. Ryzhov
Noise-immune reception regions for selective excitation of characteristic waves in an ionospheric communication link are investigated. It is shown that for ionospheric paths to 16 $Z_m$. long, the area of noise-immune reception is about $S\sim\:$50 Z$_m^2$ (at the ionospheric layer half-depth $Z_m=\:$100 km, $S\sim\:$500,000 sq. km). The area $S$ for different azimuthal angles and different radio path lengths is evaluated. It is shown that vertical wave incidence creates especially favorable conditions for implementing regional ionospheric radio communication networks with single-path propagation of radio waves and, consequently, highly reliable data transmission.
Show AbstractCollinear diffraction of a light beam on consecutive acoustic trains
Collinear diffraction of a light beam on consecutive acoustic trains
V.N. Parygin, A.V. Vershubskii
A system of equations for collinear diffraction of light on two consecutive acoustic trains of finite length with a Gaussian amplitude distribution is derived. Solving these equations yields the amplitude distribution patterns for transmitted and diffracted light under strong acousto-optical interaction. This allows us to calculate the shapes of diffracted light pulses for different train lengths, phase differences, and intertrain distances.
Show AbstractInfluence of near-surface medium inhomogeneity on polarization effects in light reflection
Influence of near-surface medium inhomogeneity on polarization effects in light reflection
A.A. Golubkov, V.A. Makarov
It was shown that, contrary to some authors opinion, the polarization effects observed recently in low-intensity light interaction with $\bar{4}3m$-class crystals (GaAs, InSb) did not point to any violation of the symmetry principle for kinetic coefficients in these crystals, since these effects are mainly caused by near-surface nonuniformity of their optical properties. Polarization effects were indicated which, if observed, would actually confirm the symmetry principle violation of these crystals kinetic coefficients.
Show AbstractSolution of one inverse problem of photothermal diagnostics with the use of the Tykhonoff regularization method
Solution of one inverse problem of photothermal diagnostics with the use of the Tykhonoff regularization method
V.V. Aleshin, V.A. Vysloukh
The problem of nondestructive photothermal diagnostics of one-dimensional medium is considered. An algorithm based on numerical minimization of the objective function and spline approximation of the medium parameters is developed. The algorithm reproduces satisfactorily the shape of non.uniformities.
Show AbstractEffect of strong electric field and IR radiation on long-term relaxation of piezoresistance in $p$-GaAs/AlGaAs
Effect of strong electric field and IR radiation on long-term relaxation of piezoresistance in $p$-GaAs/AlGaAs
E.V. Bogdanov$^1$, K.I. Kolokolov$^1$, V.N. Kravchenko$^1$, N.Ya. Minina$^1$, A.M. Savin$^1$, O.P. Hansen$^2$
Infrared radiation and strong electric field effects on uniaxial compression-induced long-term resistance relaxations of two-dimensional holes at the $p$-GaAs /Al$_{0,5}$Ga$_{0,5}$As heterointerface at 4.2 and 77 K were measured. A sharp decrease in relaxation times under charge carriers heating by illumination and, at 77 K, by electric field was observed. At 4.2 K, an electric field over 200 V/cm did by itself cause sample switching to a metastable high-resistance state.
Show AbstractSecular variation of the Earth's mean radius
Secular variation of the Earth's mean radius
Yu.V. Barkin
It is shown that the mechanism of subduction and accumulation of the masses of oceanic platforms leads to a slow decrease of the Earth's mean radius at a rate of $\sim\:$0.35 mm/year.
Show AbstractOn nonlinear waves described by fifth-order evolution equations
On nonlinear waves described by fifth-order evolution equations
S.A. Arsen'ev, A.Yu. Gubar', N.K. Shelkovnikov
The fifth-order quadratic-cubic nonlinear equation for long waves in the ocean is reduced to a nonlinear Schr$\stackrel{..}{o}$dinger equation. Solutions in the form ofbreezer long-wave trains modulated by evolvent kinks are derived and studied. Long waves on finite-depth water are proved to be stable.
Show AbstractEccentricity variations of the external orbit of $\xi$ U.Ma.
Eccentricity variations of the external orbit of $\xi$ U.Ma.
N.A. Solovaya
An analytical solution for variations of the external orbit in ternary stellar systems of $\varepsilon$ Lyr type is obtained. An example of the $\xi$ U.Ma. system is considered.
Show Abstract