Existence and uniqueness theorems for the solution of а boundary-value problem for а nonwave Helmholtz differential equation, where the Dirichlet condition and condition with an oЬlique derivative are specified on the opposite sides of cuts in а plane, are proved. An integral representation for the solution is obtained.
Show AbstractApplication of the parquet-planar approximation to description of а zerodimensional two-matrix model is considered.
Show AbstractА method for calculating the modes of gradient insulator waveguides is developed. The results of testing this method for hollow and double-layer waveguides suggest that the method is highly accurate. The proposed method makes it possible to solve the proЫem of approximating the field strength at the origin of а cylindrical system of coordinates.
Show AbstractThe undersea neutrino telescope NEMO project is currently under way in the National Institute of Nuclear Physics (INFN, Italia). It will serve for the study of cosmic and atmospheric sources of high energy neutrinos. This telescope can bе used for the neutrino oscillation studies. In the present paper, computer simulation of the telescope and calculation of its effective volume are carried out. Our investigations demonstrated that the effective volume and statistics gathering are higher than for any neutrino detectors actually in operation.
Show AbstractА plasma and space-charge sheath equation that extends the Langmuir-Tonks equation to а two-dimensionally nonuniform plasma has been oЬtained. This equation can serve as а basis for calculating the spatial characteristics of the plasma of а gas-discharge positive column of arbltrarily shaped boundary under conditions of free flight of ions. The results oЬtained are of interest in modeling the processes occurring in ion sources and low-pressure plasma chemical reactors.
Show AbstractА numerical model of the radiation field from а microwave wireless transmission line is developed, and the levels of the side lobes in the plane of the receiving antenna for different versions of the ground transmission line are calculated. It is shown that the problem of an environmentally clean and safe microwave wireless power transmission can bе solved bу optimizing the amplitude-phase distributions of the field over the surface of the transmitting antenna.
Show AbstractInstabllity associated with stimulated emission of radiation bу an electron beam via the single-particle Cherenkov effect in an electrodynamic system near the opacity band is examined. Such instabllity is shown to bе absolute. The instabllity increments and wave number ranges where instabllity occurs are determined, and the complex-valued dispersion dependences are investigated.
Show AbstractUsing а previously developed model including primary processes and the Calvin cycle, delayed luminescence oscillations have first been obtained, and assumptions as to the mechanism responsible for their development have been made.
Show AbstractAn active acousto-optic Q-factor modulation in а double-clad ytterblum-doped glass fiber laser has been experimentally implemented and investigated. А repetitive generation of smooth long (2-μs) pulses is attained. The parameters of the laser-pulse train generated are estimated. Based on numerical modeling, the main mechanisms responsible for the laser operation studied are explained.
Show AbstractPossiЫe mechanisms of acoustic effect on cells are classified. The solution of а model problem on the effect of а plane ultrasonic wave on а spherical biomembrane and analysis of the resultant deformation substantiate the local significance of the criterion of damage the membrane suffers when its area is increased in excess of the permissible value.
Show AbstractMost biological molecules are composed with the participation of asymmetric (chiral) carbon that governs the optical activity and stereospecific properties of these compounds, namely, the enzymatic activity of proteins, the specificity of cellular receptors, the replication of nucleic acids, and so on. This most important property of all living systems has been fixed during the course of evolution. Nowadays living organisms are meeting with numerous toxic chiral compounds produced bу chemical, pharmaceutical, and food industries that poses the new problem of chiral environmental safety for mankind.
Show AbstractStatic and dynamic light scattering techniques are used to investigate the parameters of aqueous serum solutions in rats suffering from cerebral circulation disorders. Comparison between the results obtained and control data shows а reduction of the effective masses of the scattering particles and their hydrodynamic radii in the case of vascular pathologies. This gives reason to believe that the sensitivity of the light scattering method is adequate for the analysis and monitoring of vascular diseases.
Show AbstractResults of synchronous remote measurements of the wind velocity profiles in the atmospheric boundary layer above Moscow and in а rural area 45 km from Moscow are given. Continuous measurements were carried out for one month bу Doppler acoustic sonars ( sodars). Random and systematic differences in the vertical profiles of the wind velocity in the city atmosphere from the atmosphere in the rural area have been discovered at altitudes up to 100 m. Above 150 m, the wind velocity and direction do not differ very much at these two posts.
Show AbstractА new justification of the theory of perturbations for the waveguide embedded trapped modes is proposed.
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