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  JOURNAL "NP" ISSUES

"Nauchnoe Priborostroenie", 2017, Vol. 27, no. 3. ISSN 2312-2951

"NP" 2017 year Vol. 27 no. 3.,   ABSTRACTS

ABSTRACTS, REFERENCES

S. A. Kazakov, V. V. Kaminsky, N. V. Sharenkova, S. M. Soloviev, M. A. Grevtsev

SEMICONDUCTOR METHANE SENSORS BASED
ON POLYCRYSTALLINE FILMS SM1-X EUXS IN EXPLOSION-PROOF DESIGN

"Nauchnoe priborostroenie", 2017, vol. 27, no. 3, pp. 3—7.
doi: 10.18358/np-27-3-i37
 

Semiconductor sensors of methane concentrations and volatile hydrocarbons in atmospheric air based on polycrystalline films of solid solutions of europium and samarium sulphides with Sm1-xEuxS compositions, where 0.75 < x ≤ 1, are developed and manufactured. The design features of methane sensors manufactured in an explosion-proof housing are briefly described. The advantages of this type of methane detectors are shown in comparison with known analogues.
 

Keywords: samarium sulfide, europium sulfide, methane sensor, explosion-proof design

Author affiliations:

Ioffe Institute, Saint-Petersburg, Russia

 
Contacts: Kaminsky Vladimir Vasil'evich, Vladimir.Kaminski@mail.ioffe.ru
Article received in edition: 4.07.2017
Full text (In Russ.) >>

REFERENCES

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  2. Kazakov S.A., Kaminski V.V., Soloviev S.M., Sharenkova N.V. [Semiconductor gas oxygen sensors based on polycrystalline films of samarium sulfide]. Nauchnoe Priborostroenie [Scientific Instrumentation], 2015, vol. 25, no. 3, pp. 116—123. Doi: 10.18358/np-25-3-i116123. (In Russ.).
  3. Kaminskiy V.V., Kazakov S.A. Patent RF no. 2546849. Byul. izobr. [Bulletin of inventions], 2015, no. 10. (In Russ.).
  4. Quaranta F., Rella R., Siciliano P., Capone S., Epifani M., Vasanelli L., Licciulli A., Zocco A. A novel gas sensor based on SnO2/Os thin film for the detection of methane at low temperature. Sens. Actuators B: Chem., 1999, vol. 58, pp. 350—355. Doi: 10.1016/S0925-4005(99)00095-7.
 

A. N. Arseniev1, A. G. Monakov1, N. V. Krasnov1, M. N. Krasnov2

ADJUSTABLE BIPOLAR HIGHLY STABLE POWER SUPPLIES

"Nauchnoe Priborostroenie", 2017, vol. 27, no. 3, pp. 8—17.
doi: 10.18358/np-27-3-i817
 

A line of highly stable adjustable bipolar base power supplies of two series: low-voltage ± 10 V, ± 100 V, ± 300 V, ± 600 V and high-voltage ± 1000 V, ± 1500 V, ± 3000 V, ± 5000 V. The necessary parameters of power supplies are determined on the basis of modern requirements for power supplies that are part of various analytical instruments and complexes. These parameters include: bipolarity, high stability no worse than 5·10–6, isolated electrical output, absence of mechanical adjustments – control from a personal computer, calibration of blocks not more than 2 times a month. To control power supply units, switching devices for 24 and 48 channels for power supply systems have been designed, and for a single power supply unit, a single-channel interface unit. Complete with switching devices, the software implements: setting the operating voltage independently for each power supply unit, displaying the set and measured voltage in the power supply, simultaneous activation of the required power supplies, calibration and adjustment of the units.
 

Keywords: highly stable adjustable bipolar power supply, low-voltage power supply, high-voltage power supply, switching device

Author affiliations:

1Institute for Analytical Instrumentation of RAS, Saint-Petersburg, Russia
2Ltd "Device Consulting", Saint-Petersburg, Russia

 
Contacts: Krasnov Nikolay Vasil'evich, krasnov@alpha-ms.com
Article received in edition: 24.05.2017
Full text (In Russ.) >>

REFERENCES

  1. Ultravolt. URL: http://www.advanced-energy.com/en/UltraVolt_Power.html.
  2. Matsusada. URL: http://www.matsusada.com.
  3. Spellman. URL: http://www.spellmanhv.com.
  4. Applied Kilovolts. URL: http://www.exelis-ps.com.
  5. Stahl-electronics, Germany.
  6. Iseg Spezialelektronif GmbH, Germany. URL: http://iseg-hv.com/en/products/detail/DPS. 
  7. ETPS Limited, UK. URL:
  8. Wiener GmbH, Germany. URL: http://www.wiener-d.com/sc/power-supplies/mpod--lvhv/.
  9. Hemmers O., Whitfield S.B., Glans P., Wang H., Lindle D.W., Wehlitz R., Sellin I.A. High-resolution electron time-of-flight apparatus for the soft X-ray region. Rev. Sci. Instrum., 1998, vol. 69, no. 11, pp. 3809—3817. Doi: 10.1063/1.1149183.
  10. Samarin S.N., Artamonov O.M., Waterhouse D.K., Kirschner J., Morozov A., Williams J.F. Highly efficient time-of-flight spectrometer for studying low-energy secondary emission from dielectrics: Secondary-electron emission from LiF film. Rev. Sci. Instrum,. 2003, vol. 74, no. 3, pp. 1274—1278. Doi: 10.1063/1.1537044.
  11. Lebedev G., Jozwiak C., Andresen N., Lanzara A., Hussain Z. TOF electron energy analyzer for spin and angular resolved photoemission spectroscopy. Physical Procedia, 2008, vol. 1, no. 1, pp. 413—423.
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  13. Pierce D.T. Perspective on probing metallic ferromagnetism with electrons. J. Appl. Phys ., 2011, vol. 109, no. 7, 07E106. Doi: 10.1063/1.3537960.
  14. Scapellati C. [High Voltage Power Supplies for Analytical Instrumentation]. Analitika [Analytics], 2013, no. 4, pp. 48—54. (In Russ.).
 

V. G. Gurevich1, A. V. Pavlov1, V. M. Konstantinov2

REFERENCE THERMOGRAVIMETRIC COMPLEX (TGC) FOR CALIBRATION OF GAS MICROSTREAM SOURCES AND DYNAMIC PREPARATION OF GAS MIXTURES WITH TRACEABLE PARAMETERS. THE DEFINING OF THE REASON OF LONG-TERM CHANGE IN PRODUCTIVITY OF GAS (VAPOR) MICROSTREAM SOURCES

"Nauchnoe Priborostroenie", 2017, vol. 27, no. 3, pp. 18—27.
doi: 10.18358/np-27-3-i1827
 

The preparation method of dynamic gas mixtures using micro stream sources (MS) of aggressive substances is the most perspective, from the point of view of long-term reproduceability of the preset concentration. The main advantage of MS, made of fluorinecontaining polymers, is the possibility to use in them a wide range of compounds nomenclature, including condensed gases, liquids, sublimated solids and many semi-volatile organic compounds. Using of MS for dynamic gas mixtures preparation on the Thermogravimetric complexes allows to calculate concentration on base of the direct mass measurements of traceable components – substance microg / nitrogen mg (taking in account the analyte purity).
In this paper we consider the Thermogravimetric complex developed in "DINAGAS" company for dynamic gas mixtures preparation based on the electronic balance SARTORIUS, with high-precision vertical thermostat for MS and mass calibrator of the dilution gas flow-rate , in which liquefied nitrogen is used.
The developed complex allowed to carry out the research of fluoroplastic (PTFE) tubes used for the production of gas-permeable housing , as a result- this research confirmed the presence of water vapor in pores of permeable walls. This presence has a significant impact both on the magnitude of their produce ability, as well on their long-term stability.
 

Keywords: thermogravimetric complex, concentration traceability of dynamic gas mixtures, long-term stability of gas micro stream sources

Author affiliations:

1DINAGAS Co., Saint-Petersburg, Russia
2Scientific Instruments Co., Saint-Petersburg, Russia

 
Contacts: Gurevich Vladimir Gerzevich, dinagas@rambler.ru
Article received in edition: 2.05.2017
Full text (In Russ.) >>

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V. V. Shugailo1, S. A. Kostenko1, Yu. S. Mednikova2

DEVICE TO PROVIDE STABLE TEMPERATURE IN A DISH CONTAINING LIVING CELLS

"Nauchnoe Priborostroenie", 2017, vol. 27, no. 3, pp. 28—32.
doi: 10.18358/np-27-3-i2832
 

The wide use of cellular technologies in modern biological research and applied studies requires a device enabling operations with living cells under optimal conditions for the last. The Institute for Biological Instrumentation with Manufacturing Facilities of the Russian Academy of Sciences (IBI RAS) has developed and built a "Device to provide stable temperature in a dish containing living cells" enabling provision of optimal temperatures in a dish containing cells and embryos of warm-blooded animals. The construction of the dish enables insertion of electrodes into the cells for measuring their electrical parameters. The device comprises two elements: a controller and a thermostage with a dish. The thermostage can be mounted onto a microscopic stage or onto a table with the use of a magnifier. Illumination is provided from the dish bottom. The dish temperature can be assigned from 10 to 50 ºC. Accuracy of temperature maintaining is ± 0.1 ºC.
 

Keywords: dish, temperature stabilization, cell, embryo, device, Peltier element

Author affiliations:

1Institute for Biological Instrumentation with Manufacturing Facilities of the RAS,
Pushchino, Moscow region, Russia
2Institute for Higher Nervous Activity of the RAS, Moscow, Russia

 
Contacts: Shugailo Vladislav Vladimirovich, lab12ibp@bk.ru
Article received in edition: 7.07.2017
Full text (In Russ.) >>

REFERENCES

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V. V. Manoylov1,2, Yu. A. Titov1, A. G. Kuzmin1, I. V. Zarutskiy1

DISCRIMINANT ANALYSIS ALGORITHMS FOR CLASSIFICATION MASS SPECTRA OF EXHALED GASES

"Nauchnoe Priborostroenie", 2017, vol. 27, no. 3, pp. 33—42.
doi: 10.18358/np-27-3-i3342
 

In this paper the algorithms of discriminant analysis for the classification of mass spectra of exhaled gases are considered. It is shown that three algorithms can be used to calculate the coefficients of discriminant functions: 1) an algorithm based on the QR decomposition; 2) an algorithm based on the calculation of the generalized correlation function; and 3) an algorithm based on the solution of an overdetermined system of linear equations by the method of least squares. Tables are given for calculating the probabilities of deciding whether a processed mass spectrum belongs to one of two groups: mass spectra belonging to healthy and unhealthy people. It is shown in the paper that the amplitudes of the mass-spectral peaks of the masses of the exhaled gas as well as the variables resulting from the reduction in the dimension of the data processed by the principal component method can be used as variables for carrying out the classification. It is shown that for an estimation of belonging to one of these groups, it is sufficient to use variables corresponding to the first two principal components. Examples of approbation of the proposed methods are given.
 

Keywords: the mass spectrometer for the analysis of exhaled gases, linear discriminant analysis, classification of mass spectra

Author affiliations:

1Institute for Analytical Instrumentation of RAS, Saint-Petersburg, Russia
2ITMO University, Saint-Petersburg, Russia

 
Contacts: Manoylov Vladimir Vladimirovich, manoilov_vv@mail.ru
Article received in edition: 21.07.2017
Full text (In Russ.) >>

REFERENCES

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A. G. Varekhov

BOUNDARY POTENTIAL OF BIOCOLLOIDS PARTICLES: QUANTITATIVE ANALYSES

"Nauchnoe Priborostroenie", 2017, vol. 27, no. 3, pp. 43—54.
doi: 10.18358/np-27-3-i4354
 

There the structure of peripheral area of the colloid particle and, in particular, the particles of a biological origin is analyzedin the article. The expression for the potential function of a particle, which is not identical to the Boltzmann force function, describing potential at a surface in interaction betweena charged particle and an electrolyte, is offered. The expression is based on the analysis of charge-charge (Coulomb) and a charge-dipole interactions of an electrolyte with the charged surface. It is offered to use the Landau parameter (length) characterizing a thermodynamic equilibrium on a particle surface for an assessment of the double electric layer thickness. Two ways of calculation of electrokinetic radius of the colloid particles are offered. Ratios on the basis of a Debye screening distance and, respectively, the concentration of the electrolyte, showing the connection between the surface and the electrokinetic potentials of particles are offered. The calculations showing the relative precision of the various approaches wereperformed.
 

Keywords: surface potential, zeta-potential, a double electric layer, Landau's length

Author affiliations:

St. Petersburg State University of Aerospace Instrumentation, Russia

 
Contacts: Varechov Aleksey Grigor'evich, varekhov@mail.ru
Article received in edition: 25.04.2017
Full text (In Russ.) >>

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A. Yu. Shmykov1, A. N. Krasovskii1, N. A. Bubis1, S. V. Mjakin2, L. Sh. Boridko1,2, L. M. Kuznetzov3, V. E. Kurochkin1

STUDY OF ELECTROKINETIC PROPERTIES OF SEGMENTED CAPILLARY COLUMNS WITH NEUTRAL AND NEGATIVELY CHARGED POLYMER SORBENTS

"Nauchnoe Priborostroenie", 2017, vol. 27, no. 3, pp. 55—64.
doi: 10.18358/np-27-3-i5564
 

Structure and trends of surface energy changes in model polymer coatings on fused silica are studied and electrokinetic properties are characterized for hollow segmented fused silica columns (SFSC) coated with atactic polystyrene and poly(styrenesulfonic acid) as non-polar and negatively charged segments with the ratios of their lengths 2:1 and 1:2. SFSC are shown to provide a high electroosmotic flow (EOF) almost independent on pH value of electrolyte solutions. Electrokinetic mobility of EOF marker (dimethylsulfoxide) in the studied columns is determined by the ratio of lengths between electricallyt neutral and negatively charged polymer sorbents.
 

Keywords: fused silica, segmented polystyrene and poly(styrenesulfonic acid) columns

Author affiliations:

1Institute for Analytical Instrumentation of RAS, Saint-Petersburg, Russia
2St. Petersburg State Institute of Technology (Technical University), Russia
3St. Petersburg State University of Economics, Russia

 
Contacts: Shmykov Aleksey Yur'evich, shmykov.alexey@gmail.com
Article received in edition: 23.06.2017
Full text (In Russ.) >>

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A. I. Zhernovoy, U. V. Ulashkevich, S. V. Dyachenko

THE STUDY OF DEPENDENCE THE INFRARED SPECTRUM OF MAGNETIC FLUID FROM MAGNETIC FIELD

"Nauchnoe Priborostroenie", 2017, vol. 27, no. 3, pp. 65—69.
doi: 10.18358/np-27-3-i6569
 

Colloidal solution of ferromagnetic magnetite nanoparticles in magnetic field has vibrational-rotational IR spectrum. The energy of the vibrational levels does not depend on the induction of the external magnetic field, and the energy of the rotational levels depends linearly on it. The effect can be explained by the reorientation under the action of photons of the magnetic moments of nanoparticles in magnetic field.
 

Keywords: magnetic fluid, magnetic field, vibrational-rotational IR spectrum, single-domain ferromagnetic nanoparticles

Author affiliations:

Saint-Petersburg State Institute of Technology (Technical University), Russia

 
Contacts: Zhernovoy Aleksandr Ivanovich, azhspb@rambler.ru
Article received in edition: 4.07.2017
Full text (In Russ.) >>

REFERENCES

  1. Zhernovoy A.I., Ulashkevich Yu.V., Diyachenko S.V. [Magnetic fluid in magnetic field infrared absorbtion spectra investigation]. Nauchnoe Priborostroenie [Scientific Instrumentation], 2016, vol. 26, no. 2, pp. 60—63. Doi: 10.18358/np-26-2-i6063. (In Russ.).
  2. Zhernovoy A.I., Ulashkevich Yu.V., Diachenko S.V. [The discreteness of magnetic moments of single-domain ferromagnetic nanoparticles]. Nauchnoe Priborostroenie [Scientific Instrumentation], 2017, vol. 27, no. 1, pp. 72—76. Doi: 10.18358/np-27-1-i7276. (In Russ.).
  3. Zhernovoy A.I., Ulashkevich Yu.V., Diachenko S.V. [The study of the infrared spectrum of a magnetic nanoparticles in a magnetic field structure]. Nauchnoe Priborostroenie [Scientific Instrumentation], 2017, vol. 27, no. 2. pp. 61—65. Doi: 10.18358/np-27-2-i6165. (In Russ.).
  4. Mikhaylovskiy R.V., Hendry E., Secchi A., Mentink J.H., Eckstein M., Wu A., Pisarev R.V., Kruglyak V.V., Katsnelson M.I., Rasing Th., Kimel A.V. Ultrafast optical modification of exchange interactions in iron oxides. Nat. Commun., 2015, vol. 6, art. number 8190. Doi: 10.1038/ncomms9190.
 

A. V. Borodin, M. V. Yudin, D. N. Franzev

THE VIRTUAL THERMAL UNIT FOR NUMERICAL STUDY OF THE GROWING PROCESS OF SHAPED SAPPHIRE CRYSTALS

"Nauchnoe Priborostroenie", 2017, vol. 27, no. 3, pp. 70—80.
doi: 10.18358/np-27-3-i7080
 

A virtual model of the thermal unit with induction heating has been designed and numerical simulation of the growing process was carried out, including the solution of problems of induction heating, heat transfer in solids, liquid, and gas, heat transfer by radiation, melt and gas dynamics, and thermoelasticity. The influence of argon pressure in the chamber, the design of radiation shields on the distribution of temperature and thermal stresses in the sapphire tube and hemisphere were investigated. The axisymmetric two-dimensional and three-dimensional models were coupled and calculation of temperature in the crystallization zone for simultaneous growing of sapphire plates was performed. The obtained results are consistent with practically accumulated information and are applicable for the development of shaped sapphire growing technologies.
 

Keywords: crystal growth, sapphire, numerical simulation

Author affiliations:

Institute of Solid State Physics RAS, Chernogolovka, Moscow District, Russia

 
Contacts: Borodin Aleksey Vladimirovich, borodin@ezan.ac.ru
Article received in edition: 4.05.2017
Full text (In Russ.) >>

REFERENCES

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S. I. Shevchenko

ABOUT THE PROPERTIES OF CYLINDRICAL MIRRORS FOR THE ACCOUNTING OF ELECTRONS WITH THE AZIMUTHAL COMPONENT OF VELOCITY. THE FOCUSING AND FOCUS LINE

"Nauchnoe Priborostroenie", 2017, vol. 27, no. 3, pp. 81—89.
doi: 10.18358/np-27-3-i8189
 

The work of a cylindrical mirror with allowance for electrons having an azimuthal velocity component was studied. Possible implementations of the ring-ring scheme are considered. The classical definition of focusing to the case of the presence of azimuthal electrons is extended. The relationships between the main parameters of a cylindrical mirror (generalized second-order focal line), such as the source-detector distance, the radius of the emission ring, the position (radius) of the output diaphragm, the focusing energy, the starting angle of the central trajectory for all received ring-ring realizations are found.
 

Keywords: energy analyzer, cylindrical mirror, emission ring, output aperture

Author affiliations:

Institute for Analytical Instrumentation of RAS, Saint-Petersburg, Russia

 
Contacts: Shevchenko Sergey Ivanovich, nyro2@yandex.ru
Article received in edition: 29.05.2017
Full text (In Russ.) >>

REFERENCES

  1. Shevchenko S.I. [About the properties of cylindrical mirrors for the accounting of electrons with the azimuthal component of velocity. The distribution of electrons near the output aperture]. Nauchnoe Priborostroenie [Scientific Instrumentation], 2017, vol. 27, no. 1, pp. 90—101. Doi: 10.18358/np-27-1-i90101. (In Russ.).
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  9. Shevchenko S.I. [The method of instrument function calculation of axially energy electrostatic analyzers]. Nauchnoe Priborostroenie [Scientific Instrumentation], 2010, vol. 20, no. 2, pp. 73—81. (In Russ.). URL:
  10. Shevchenko S.I. [Some aspects of the energy analyzer work of a cylindrical mirror type. Part I]. Nauchnoe Priborostroenie [Scientific Instrumentation], 2011, vol. 21, no. 1, pp. 76—86. . (In Russ.). URL:
  11. Shevchenko S.I. [About the lower and upper input of electrons in cylindrical mirror analyzer. Part 1]. Nauchnoe Priborostroenie [Scientific Instrumentation], 2015, vol. 25, no. 3, pp. 19—28. Doi: 10.18358/np-25-3-i1928. (In Russ.).
  12. Shevchenko S.I. [Some aspects of the energy analyzer work of a cylindrical mirror type. Part III]. Nauchnoe Priborostroenie [Scientific Instrumentation], 2013, vol. 23, no. 3, pp. 56—68. (In Russ.). URL: http://213.170.69.26/en/mag/2013/abst3.php#abst8
 

I. V. Kurnin

INFLUENCE OF ION-MOLECULAR REACTIONS ON A RESOLVING POWER OF ION MOBILITY SPECTROMETER WITH BRADBURY–NIELSEN GATE

"Nauchnoe Priborostroenie", 2017, vol. 27, no. 3, pp.90—98.
doi: 10.18358/np-27-3-i9098
 

In order to reveal factors that could significantly affect the resolving power of the ion mobility spectrometer with Bradbury–Nielsen gate, the influence of ion-molecular reactions on the shape of ion peaks and their position is considered. Simulations of the formation of ion pulses by the Bradbury–Nielsen gate and their drift were performed taking into account the ion formation and dissociation reactions. It was shown that transmission properties of the gate being selective, the ions newly formed in the course of the reactions and having lower values of the ion mobility give a significantly wider pulse of small amplitude at the gate exit. Depending on the reaction rates the peaks of the interacting ions coincide at the high rates and at the much slower rates there is an intermediate signal that appear between the ion peaks to be separated. In the case of the water clusters formation and dissociation reactions, the ion peak consist of the several ion components and, depending on the water concentration, its position is shifted toward the position of the cluster of the prevailed size.
 

Keywords: ion mobility spectrometer, Bradbury–Nielsen gate, ion-molecular reactions, resolving power

Author affiliations:

Institute for Analytical Instrumentation of RAS, Saint-Petersburg, Russia

 
Contacts: Kurnin Igor' Vasil'evich, igor.kurnin@gmail.com
Article received in edition: 18.07.2017
Full text (In Russ.) >>

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L. V. Novikov1, V. V. Kurkina2

THE METHOD FOR ESTIMATION OF SPECTRAL PEAK PARAMETERS

"Nauchnoe Priborostroenie", 2017, vol. 27, no. 3, pp. 99—106.
doi: 10.18358/np-27-3-i99106
 

A new economical algorithm for estimating the parameters of signals in mass spectrometry, chromatography, and other applications, representing a sequence of peaks against a noise background, is proposed. A traditional approach for the peak top detection by the intersection the zero line by the first derivative is developing. In order to increase the reliability of detection of the beginning, end, vertex and saddle between peaks, it is proposed to compare the values of the derivatives at three points of the sliding data window.
 

Keywords: signal processing, analytical spectra, estimation of parameters, identification of peaks

Author affiliations:

1Institute for Analytical Instrumentation of RAS, Saint-Petersburg, Russia
2St. Petersburg State Technological Institute (Technical University), Russia

 
Contacts: Novikov Lev Vasil'evich, novik38@mail.ru
Article received in edition: 20.06.2017
Full text (In Russ.) >>

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A. S. Berdnikov1, N. K. Krasnova2, K. V. Solovyev2

THEOREM ON INTEGRATION AND DIFFERENTIATION OF 3D ELECTRIC AND MAGNETIC POTENTIALS WHICH ARE HOMOGENEOUS IN EULER TERMS

"Nauchnoe Priborostroenie", 2017, vol. 27, no. 3, pp. 107—119.
doi: 10.18358/np-27-3-i107119
 

Electric and magnetic fields which are homogeneous in Euler terms are used to design the systems of charge particle optics with special properties. General theory of the harmonic functions which are homogeneous in
Euler terms is an important instrument in this process. This paper considers new proof of a fundamental theorem on representation of any harmonic and homogeneous in Euler terms scalar potential as a derivative of harmonic and homogeneous in Euler terms scalar potential of higher order. The said proof uses more weak assumptions about analytical properties of the scalar potential under consideration when usually. It is applicable to harmonic scalar potentials which are homogeneous in Euler terms and contains points with the violation of analytical properties of the function under consideration (in particular, singular points; in particular, at the origin of the coordinate system, which is typical for electric and magnetic fields).
 

Keywords: electric fields, magnetic fields, homogeneous in Euler’ terms functions, similarity principle for charged particle trajectories, analytical solutions of Laplace equation

Author affiliations:

1Institute for Analytical Instrumentation of RAS, Saint-Petersburg, Russia
2Peter The Great St. Petersburg Polytechnic University, Russia

 
Contacts: Berdnikov Alexander Sergeevich, asberd@yandex.ru
Article received in edition: 19.05.2017
Full text (In Russ.) >>

REFERENCES

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A. S. Berdnikov1, N. K. Krasnova2, K. V. Solovyev2

HARMONIC INTEGRATION OF QUASI POLYNOMIAL POTENTIALS WHICH ARE HOMOGENEOUS IN EULER TERMS

"Nauchnoe Priborostroenie", 2017, vol. 27, no. 3, pp. 120—127.
doi: 10.18358/np-27-3-i120127
 

Electric and magnetic fields which are homogeneous in Euler terms are used to design the systems of charge particle optics with special properties. General theory of the harmonic functions which are homogeneous in Euler terms is an important instrument in this process. Quasi polynomial homogeneous potentials satisfying the Laplace equation and given in analytical form provide a sufficiently representative, but not complete, subset of 3D harmonic potentials which are homogeneous in Euler terms. The paper shows how, using harmonic integration, it is possible to extend the class of potentials that are given in analytical form, satisfy the Laplace equation and are homogeneous in Euler terms.
 

Keywords: electric fields, magnetic fields, homogeneous in Euler’ terms functions, similarity principle for charged particle trajectories, analytical solutions of Laplace equation

Author affiliations:

1Institute for Analytical Instrumentation of RAS, Saint-Petersburg, Russia
2Peter The Great St. Petersburg Polytechnic University, Russia

 
Contacts: Berdnikov Alexander Sergeevich, asberd@yandex.ru
Article received in edition: 19.05.2017
Full text (In Russ.) >>

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B. P. Sharfarets

ON THE RELATIONS CONNECTING THE SCATTERING FIELD WITH THE SCATTERING AMPLITUDE

"Nauchnoe Priborostroenie", 2017, vol. 27, no. 3, pp. 128—136.
doi: 10.18358/np-27-3-i128136
 

Various functional relationships between the main parameters of the scattering process are considered in this paper: the scattering field and the scattering amplitude. These relations are either geometrically-optic type (decomposition in the form of the Atkinson–Wilcox series), or a connection through the representation of both functions in series in spherical functions(multipole representations), or as an integral representation (Devaney–Wolf representation). Such a variety of representations is also possible due to the analytic properties of both functions: the scattering field is an radiation solution of the Helmholtz equation, any two differentiable solutions of which are analytic functions of their arguments, and also because the scattering amplitude is an entire analytic function of its arguments. An analog of an Atkinson–Wilcox representation for the generalized scattering amplitude is also given, which is possible only in the case when the primary incident complex field is a radiating solution of the Helmholtz equation. The resulting scattering amplitude in this case also obeys the Helmholtz equation. It is shown that the Herglotz wave function coincides, up to a constant factor, with the Whittaker representation. The above results are very useful for applications, and in particular, in the problems of scientific instrument making.
 

Keywords: scattering amplitude, Atkinson–Wilcox decomposition, Whittaker's representation, Devaney–Wolf representation, incident plane wave, the canonical scattering amplitude, resulting scattering amplitude, Herglotz wave function

Author affiliations:

Institute for Analytical Instrumentation of RAS, Saint-Petersburg, Russia

 
Contacts: Sharfarets Boris Pinkusovich, sharb@mail.ru
Article received in edition: 24.04.2017
Full text (In Russ.) >>

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