**2000, volume 5,
¹ 2**

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**Methods of V.P.Shestopalov'S school in tHE theory of the wave
diffraction**

*S. A. Masalov,
V. V. Shcherbak*

12-34

The achievements and perspectives of development of effective mathematically rigorous methods of a solution of problems of the diffraction theory, created by the founder of Kharkov school of the diffraction theory by the V. P. Shestopalov and his followers, is analyzed. Are generalized and are reevaluated the interrelations of the considered classes of problems and their statement with the purpose deriving new results at the intersection of known receptions.

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**NEW
EXPLICITLY-SOLVABLE PROBLEMS OF THE THEORY OF WAVE PROPAGATION NEAR IRREGULAR
IMPEDANCE PLANE**

*L. A. Pazynin*

35-40

A method is considered for investigating new models of wave propagation near a flat plane with varying conductance reducible to Carleman boundary - value problem which the solution, can be obtained in explicit form. Analytical results of free such problems are presented.

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**ANALYTICAL
REGULARIZATION PAIR ADDER OF THE FUNCTIONAL EQUATIONS IN BASIS OF PROLATE
ANGULAR SPHEROIDAL FUNCTIONS**

*V. N. Koshparo`nok*

41-45

On an example of a problem of a diffraction of a flat acoustic wave on an oblong ellipsoid of revolution the classic coordinate approach to a regularization of pair adder of the equations in basis of angular spheroidal functions similar to a method, earlier developed for adder of the equations with a core by the way of periodic elliptical cylinder functions explicates. The new physical result about influence of the shape of a Helmholtz resonator to its resonant frequency is obtained.

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**BANDSTOP FILTERS
BASED ON RESoNANT DIAPHRAGMS**

*A. A. Kyrylenko,
L. P. Mospan*

46-51

Results of design, optimization and measurements for a bandstop filter are presented. Rectangular multiaperture irises are used as the resonant sections of the filter. The numerical and experimental data for a 1% bandwidth Chebyshev filter of 3-cm operating range are in a good agreement.

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**INTERCONVERSION
OF WAVES AT RESONANT SCATTERING ON TWO AND MORE DIAPHRAGMS IN A RECTANGULAR
WAVEGUIDE**

*V. V. Shcherbak*

52-59

The resonant conditions of an interconversion of waves on cascades of multistrip diaphragms are analyzed. The nontrivial situations of optimal interaction of waves and suppression of undesirable couplings of modes are found. The algorithms, which are used, are supplemented by regularization’s necessary for a solving of problems of multiparametric optimization.

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**PROPERTIES OF
NATURAL FREQUENCIES OF OPEN RESONATOR WITH PLASMA INCLUSION**

*P. N. Melezhik*

60-67

A mathematically rigorous solution was found for a 2D problem about the natural oscillations of an open resonator in the form of a metal column with a longitudinal slot containing a circular plasma column inside. The dependences of the decrement of azimuth surface wave (ASW) attention on the effective wave number were obtained on the basis of the numerical implementation, and the interaction between the natural oscillations of the slot cylinder and the azimuth surface oscillations of the plasma column was analyzed.

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**THE
DIFFERINTEGRAL DESCRIPTION MODEL OF FRACTAL COUPLING BETWEEN WAVEGUIDE SURFACES**

*V. M. Onufriyenko*

68-71

The differintegral power characteristics of an electromagnetic field are applied to the description of fractal coupling between waveguide surfaces. The mode of fractal coupling in the system “the dielectric waveguide - diffraction grating” is investigated. The possibility of the registration of energy dispersion effects on a rectangular grating edge is defined. The calculated characteristics of a differintegral model of the system agree well with the known experimental results.

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**SMALL-VOLUME
DIFFRACTION RADIATION OSCILLATOR**

*M. Yu. Demchenko,
V. K. Korneenkov, B. K. Skrynnik*

72-76

A diffraction radiation oscillator with a small-volume open resonator has been studied. The mirror spacing is minimum and ranges from a wavelength to half a wavelength. The design is described and the main characteristics are examined. The oscillator offers a wide range of electronic tuning and a rarified spectrum of the excited oscillations. Its chief key advantage is an enhanced efficiency of the interaction between the open resonator field and the electron flow, which doubles the output power at the same input power.

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**FEED EFFICIENCY
FACTOR OF AN OPEN RESONATOR IN THE DIFFRACTION RADIATION OSCILLATOR**

*A. G. Pivovarova,
B. K. Skrynnik*

77-80

For an open resonator as a part of the diffraction radiation oscillator, a method of calculation of the feed efficiency factor is developed depending on the oscillator operating parameters and proceeding from the determination of a proximity of two power distribution functions taken along the resonator interaction space. They are the power of the resonator stable oscillation and the electron beam taken off power derived from the discrete interaction model considering the spatial charge forces.

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**HIGH-STABLE
VECTOR MILLIMETER WAVE RANGE VOLTMETER**

*M. Yu. Demchenko,
G. P. Ermak, V. S. Miroshnichenko, Ye. B. Senkevich*

81-84

A vector device
for measuring parameters of substances and tools in millimeter wave range has
been developed and examined. The design is based on a synchronized orotron, a
middle-power mm-wave source. The measurer has a high frequency stability (~510^{-10})
and can be used for simultaneous measuring the amplitude and phase
characteristics of devices and substances within a wide range of varying
parameter.

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**ANALYZER OF
CURRENT DENSITY IN THIN STRIP ELECTRON BEAMS WITH HIGH SPECIFIC POWER**

*V. A. Antonov,
I. A. Vyazmitinov, I. V. Lopatin, A. S. Tishchenko*

85-91

A method of
analyzing electron beams has been suggested and an analyzer has been developed
to determine the absolute values and the current density distribution in the
cross-sections of thin magnetic-limited strip electron beams with a density not
more than 100 kWt/cm^{2} in continuous static generation modes,
which correspond to real working modes of medium-power diffraction radiation
sources.

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**SELECTION OF THE
PROBE DIAMETER FOR ANALYZING FIELD DISTRIBUTIONS IN SMALL - APERTURE OPEN
RESONATORS**

*I. K. Kuz'michev*

92-95

For various
values of a loaded *Q*-factor 300 < *Q*_{ }* _{Í}* <
3000 of the resonance system, that are characteristic of small-aperture open
resonators (OR), the diameters of scattering probes were selected which provide
a graphical coincidence of calculated and measured distributions. The
approximated method was used to derive an equation determining the dependence
of the probe diameter on the

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**DYNAMIC
PROCESSES IN THE SUBSTANCES OF POLARIZED NUCLEAR TARGETS**

*I. V. Ivanchenko,
S. Yu. Karelin, N. A. Popenko*

96-102

The results of
theoretical and experimental studies of dynamic processes in the substances of
polarized nuclear targets under the saturation of electron transition with
extra high frequency signal at the helium temperatures have been presented. The
optimal conditions concerning the use of the given substances have been
determined*.*

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**COMPENSATION OF
THE RADAR MOVEMENTS FOR REMOTE VIBRATION MEASUREMENTS**

*G. I. Khlopov,
K. A. Yadchuk*

103-108

To reject low-frequency clutter from output of noncontact radar detector of vibrations, the centering operator has been proposed. The dependences for optimal averaging interval and obtainable accuracy of measurement are considered.

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**MODIFIED
HELMHOLZ COILS**

*I. A. Vyuzmitinov,
I. V. Lopatin, A. S. Tishchenko*

109-117

It has been shown that the change of the configuration of the end surface of Helmholz coils from the plane to an elypsoidal one results in enhancing the induction of the magnetic field and the homogeneity degree of the latter in the operation range of the system. A modified method of thread-like currents is proposed to calculate the fields. The fields structure has been analyzed for various designs of Helmholz coils.

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**RADIATION OF
VARIABLE DURATION PULSE SIGNALS BY A TUNABLE ANTENNA SYSTEM CONSISTING OF LARGE
CURRENT RADIATORS**

*G. P. Pochanin*

118-127

The result of experimental investigation on developing a tunable antenna system radiating pulses of variable duration within the range from three to five ns is presented. The antenna system consists of four elements each of them is Harmuth large current radiator (LCR). The paper contains a discussion of basic relations determining the possibility to vary the radiated pulse width, a description of the operation principle of the antenna system and results of measuring the time - spatial characteristics of radiated signals.

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**ACTIVE PROBE
ANTENNA FOR MEASUREMENT PARAMETERS OF PULSE ELECTRIC FIELDS OF NANOSECOND
DURATION**

*A. A. Orlenko,
P. V. Kholod*

128-133

An active probe antenna has been designed and developed for measuring time characteristics of the electric component of a nonstationary electromagnetic field. The probe antenna is designed as a wide-band dipole in form of a rhombic metal plate with a groove along its the smaller diagonal. The dipole is loaded on a wide-band amplified with a controllable gain factor. The relative band of working frequencies reaches 0.93. The active probe antenna of the suggested design is able to receive video pulse signals of a duration up to 10 ns with the fronts (sections) not less than 3 ns. The gain factor or the active antenna varies within the range from -40 to 9.5 dB. The dynamic range of the active probe antenna lies over 80 dB. The sensitivity to the electric component of electromagnetic field is 4.75 mV(V/m).

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**PRESENTATION OF
THE DATA OBTAINED BY A SUBSURFACE VIDEO PULSE SOUNDING**

*M. M. Golovko,
G. P. Pochanin, V. O. Kovalenko*

134-143

The basic methods for presenting the information obtained by subsurface videopulse sounding systems, ground penetrating radar (GPR), are described. The propositions on the improvement of the existing methods of information visualization, automatic interpretation of results and development of software for GPR are expressed. The main characteristics and features of software for visualization and processing of GPR data are stated and the methods for improving this software are proposed.

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**PARTICULAR
FEATURES OF ELECTRIC FIELD LINES OF A POINT CHARGE**

*V. E. Budanov*

144-157

A new equivalent statement of the basics of Faraday-Maxwell electrodynamics is proposed, which consists in a simple rule of direct determination of the form of the Faraday force line of an electrical field of a point charge moving arbitrarily. The simplicity of using the new rule is demonstrated; the electric field calculated by the density of the constructed force lines coincides with the earlier known expressions, that allows us to speak about the correctness of the new statement of the basics of classical electrodynamics. The patterns of the force lines of a gyrating point charge are given. Principles of fundamentals of physics have been borrowed from the experience of compilation of fundamentals of geometry of Euclid. Eleven laws of classical physics constitute a summary of fundamentals sufficient to construct any applied theory of classical physics within the framework of its competence and therefore be considered as canonical one. This was done prove the completeness of a new statement of electrodynamics.