Scientific Notes of

Taurida National V.I. Vernadsky University

Taurida National V.I. Vernadsky University

Series

Physical and Mathematical Sciences

**Vol. 20 (59), No. 1. 2007**

** Physics.**

**Lelyakov A.P. **External Solutions of Einstein Equations for the Closed Null String of Constant Radius

**Lelyakov A.P. Roshchupkin S.N.
**The Dyonic Black Hole and Static Exact String Configurations

**Alexeev C.N., Yavorsky M.A. **

Structure and Spectrum of the Fundamental Mode of Twisted Ideal Fibres

*The analytic solution of the vector wave equation for twisted ideal fibre by means of perturbation theory with degeneracy has been established. It is demonstrated that the correct account of the vectorial term in wave equation provided small renormalization of the propagation constant spectrum, while the mode structure is the same as in the scalar approximation. The presence of optical vortices with topological charge **±1 in the longitudinal component of mode fields is shown*.

**Berzhansky V.N., Vlasova T.A., Gorbovanov A.I., Norden D.V., Polulyakh S.N., Aminov T.G., Busheva E.V., Shabunina G.G.
**The Effect of Antimony Ions on Magnetic Properties and Carrier Transfer Processes in Cuprum Chalcogenide Spinels Chromites

**Ponomarenko V.I., Popov V.V.
**A Scattering Problem in Rectangular Waveguide for 2d-Inhomogeneous Metal-Dielectric Cylinder

**Pankratov A.K., Strugatsky M.B., Yagupov S.V.
**Gas-Phase Synthesis and Morphology of Isometric Iron Borate Monocrystals

**Strugatsky M.B., Yagupov S.V., Naukhatsky I.A., Nepevnaya N.S.
**Magnetizing of Axially Stressed Iron Borate Monocrystal

**Shostak R.I., Yatsenko A.V.
**Peculiarities of Electronic Polarizability of Oxygen Ion in LiNbO3 Crystals

**Ryabushkin D.S., Sapiga A.V.
**Restoration of the NMR Signal with Help of Magnetic Resonance Line Moments

**Strugatsky M.B., Yatsenko A.A.
**

Quantum Mechanical Calculation of Electrostatic Characteristics of BaTiO_{3}

*On the base of the quantum mechanical variational principle the dielectric characteristics of the ferroelectric crystal of barium titanate have been calculated. The comparing of the results of calculation with the experimental data are carried out. Correctness of the used approximations is analyzed.*

**Bykov M.A., Mazinov A.S., Karavaynikov A.V.
**Сhange of Properties of Amorphous Silicon Structure Depending on Concentration of Hydrogen in Plasma

**Maksimova **Е**.**М**.
**X-Rays Structure Analyses of Ferrite Borate Crystals with Additions

**Stadnik I.P., Zhiltsov A.V., Gorskaya I. Yu. **

Mathematical Model for Calculation of the Force's Characteristic of the Electromagnet of with a Big Motion by a Method of Integral Equations

*Abstract: the improved mathematical model for calculation of a magnetic field in an electromagnet of a direct current and its application to build-up of the force's characteristic is offered. Simultaneous using of additional relations for the secondary radiants obtained from integrated laws of a field to boundary integral equations in aggregate with a decomposition of the area occupied with a magnetic circuit, on area with a stationary magnetic conductivity and with coefficient of a relaxation for diminution of influence of nonlinearity of ferromagnetic allows to yield calculations with a high degree of accuracy.*

**Redin M.I. **The Analysis of Spherical Reflector Current Distribution with Conical Spiral Radiator Dynamics

**Rudenko V. V., Berzhansky V. N., Polulyakh S. N., Pernod P., Preobrazhensky V. L.
**Parametrical Magnetoelastic Interaction in Porous and Composite Materials

**Berzhansky V.N., Prokopov A.R., Semuk E.Yu.
**Peculiarity of Magnetization Process in Epitaxial Garnet Films with "Angle Phase" Anisotropy

**Khripko S.L.
**Raman Scattering of Porous Silicon on p – Type Substrates