Scientific Notes of

Taurida National V.I. Vernadsky University

Taurida National V.I. Vernadsky University

Series

Physical and Mathematical Sciences

**Vol. 17-18 (56-57), No. 1. 2005 ****Physics.**

**Roshchupkin S.N.**

PP - Wines and Strings Dynamics

*Exact solutions describing dynamics of an open string in a gravitational field of PP-waves are found.
It is shown, that action of PP-waves on a string is equivalent to action of the anisotropic environment.*

**Lelyakov A.P. **

Dynamics of a Tensil String in the Planar Symmetry Spaces

*In this article, we have received the exact solution of the equations of motion of a cosmic string in a
gravitational field "thick" planar symmetry objects which arise in massless. real scalar field, in a case
when the string at each moment of time t completely lays in a plane x,y.*

**Zhovtan A.V., Roshchupkin S.N.**

The Exact Solutions Describing Dynamics of a Cosmic String in
Rindlere Space-Time

*Solutions of the equations of movement and connections for a string in Rindlere space-time are
found.*

**Zhovtan A.V., Lelyakov A.P., Roshchupkin S.N.**

Null-String in the Field of Plane Weakly Singularity Gravitational Wave

*General exact solution that describes a dynamics of null-string in the field of plane gravitational wave with weak singularity is found. Farther, are shown that dynamics of the null-strings are described by
regular functions near singularity of the gravitational wave.*

**Fridman Yu.A., Kosmachev O.A., Kozhtemyako O.V.**

Phase States of a Biaxial Non-Heisenberg
Ferromagnet with Equal Constants of Heisenberg and Biquadratic Coupling

*We investigate the phase states and spectra of coupled magnetoelastic waves of a biaxial
ferromagnet with a biquadratic exchange, assuming that the constants of Heisenberg and biquadratic
interactions are approximately equal. We show that in tins case the fields of transitions from different
phase states coincide, and the implementation of a quadrupolar-ferromagnetic phase is energetically
unfavorable. At such relation between material constants there realize only ferromagnetic and
quadmpolar phases in the system. The phase transition between these phases is of the first order. *

**Fridman Yu.A., Klevets Ph.N., Matunin D.A.**

Formation of Spatially Inhomogenious States in 2D
Non-Heisenberg Magnetics

*Influence of the magnetodipolar interaction on the phase states of a 2D non-Heisenberg
ferromagnetic is investigated. It is shown that in the system considered both the homogeneous states
(ferromagnetic or quadrupolar) and the spatially lnliomogeneous ones can be realized. Thus, spatial
lnhomogeneity is related with the distribution of the quadrupolar order parameter.*

**Alekseev K.N., Yavorsky M.A.**

Non-Adiabatic Phase Correction to the Topological Berry's Phase
in Spiral Optical Fibres

*The perturbation theory for spiral optical fibres is developed. It is demonstrated that the non-adiabatic phase correction to the topological Berry's phase includes a term describing hybridization of a
spin-orbit interaction and geometrical effects.*

**Gorskaya I.U., Fursenko A.V.**

Calculation of Vector Magnetic Potential Infinite Cylindrical Layer
of Current at the Presence of the Short Ferromagnetic Cylinder

*The design procedure of a magnetic field infinite cylindrical layer of current is offered at the
presence of the short ferromagnetic cylinder. Numerically integrated equation concerning distribution of
microcurrents to surfaces of the ferromagnetic cylinder is solved. At essentially increased length of the
cylinder comparison of the received numerical decision of a three-dimensional problem with the
analytical decision of a similar two-dimensional problem is carried out. Diagrams of distribution of vector
potential in volume of the ferromagnetic cylinder are given.*

**Ponomarenko V.l., Popov V.V., Vinogorodsky D.F. **

Usage of an Inductive Post and Strip as an Element of Waveguide Quasiresonator

*The solutions of the waveguide diffraction problems for the symmetrical inductive strip and post
have been obtained. The resonance characteristics of a quasiresonator on the base of rectangular
waveguide excited through an inductive element were simulated by computer. An ability of using the
inductive strip or post as an element with the known scattering matrix for measuring the complex
reflection coefficient by the multiresonance method has been clearly shown.*

**Ponomarenko V.l., Popov V.V.**

A Resonance Method for Measuring the Scattering Matrix of a Directional Coupler

*We have suggested a method for measuring the complex reflection and transmission coefficients of
the coupling area of a rectangular waveguide with a directional coupler. The method is based on
measuring the resonance characteristics of shorted quasiresonator excited through an inductive
diaphragm. We have experimentally measured the scattering matrix of the directional couplers from the
SNA R2-54/3 assembly.*

**Lyashko D.A.**

Making and Examination Echelle Spectrum of the Artificial Star

*The algotitlim of superposition of a synthetie spectrum of a star on echelle spectrum of a flat field
lamp. Processing of the obtained spectrum is providing by program StarXP. The ration signal / noise, a
spectral solution, quality of earning out of a continuum for the obtained spectrum is explored.*

**Popov V.V., Rudenko V.V., Ponomarenko V.l., Vinogorodsky D.F.**

A Scalar Network Analyzer
for Waveguide Measurements

*A cost-effective solution for scalar network measurements is proposed. An analyzer proposed in the
paper is intended for gaining and detecting the signal from a waveguide power detector. The analyzer is
connected to a personal computer via the FPT-interface and has a 12-bit resolution per channel. A method
for calibrating the analyzer is also proposed. The method is based on measurements of the magnitude of
the field in a quasi-resonator for several values of the magnitude of the exciting wave. A rotary vane
attenuator is used to set-up the magnitude of the exciting wave. This calibration significantly extends the
dynamic range of the analyzer.*

**Berzhansky V. N., Pohilyakh S. N., Tupitsin Yu. V.**

Formation of Two Pulses Nuclear Spin-Echo
Signals in Yitrium-Garnet Films

*The behaviour of nuclear spin echo at large angle of spins rotation on an example of ions Fe ^{3+} in
YIG film is investigated. It is revealed that the echo amplitude falls down with growth of a angle of
rotation. It is shown, that the reason of such behaviour is nonumformity of an intrinsic radio-frequency
field.*

**Redin M.I.**

General Relations for Geometrical Parameters of an Equal-Stepped Conical
Spiral Antenna

*The main equation illustrating equal-stepped conical spiral structure geometry is submitted in tins
paper. The written relations make us able to perform conical spiral antenna in the comfortable and easy
way to numerical integrating.*

**Dzedolik I. V. **

Flow of Polaritons in Linear and Nonlinear Medium

*The photons propagated in a transparent dielectric medium are considered as polaritons. The Vigner
distribution function for the polanton flow is found. Kinetic equation, characteristic and hydrodynamic
equations are obtained. It is shown that regarding the quantum effects, the flow density and its local speed
depend from time and coordinates in a linear and nonlinear medium.*

**Berzhansky V.N., Polulyakh S.N., Preobrazhensky V.L., Rudenko V.V.**

The Automized Pulse
Ultrasonic Spectrometer with Induction Excitation for Examination of Magnetic Materials

*The automized pulse spectrometer with induction excitation for examination of magnetoelastic
oscillations in magnetics was designed and manufactured. The induction method of excitation and
registration of oscillations does not demand application of piezoelectric transducers that excludes
presence of additional mechanical tensiones. The method allows to investigate both frequency and
dissipative performances of substances. As an example there was a sample of the nickel ferrite doped by
cobalt, copper and samarium. The dependences of resonance frequencies and damping time on an exterior
magnetic field for the sample were measured.*