Peculiarities of plasma fluctuations during RF heating in Uragan-3M torsatron by means of two alfven waves

Three wave interaction has been observed in experiments on Uragan-3M torsatron. Two RF antennas with frequencies Ω1 and Ω2 were used simultaneously for plasma production and heating. Plasma was probed by microwaves, these allowed to study reflection of microwaves at almost whole plasma radius. Spect...

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Дата:2005
Автори: Pavlichenko, O.S., Skibenko, A.I., Volkov, E.D., Berezhniy, V.L., Ocheretenko, V.L., Konovalov, V.G., Kulaga, A.Ye., Litvinov, A.P., Pinos, I.B., Prokopenko, A.V., Shapoval, A.N., Shvets, O.M., Tsybenko, S.A.
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Мова:Англійська
Опубліковано: Національний науковий центр «Харківський фізико-технічний інститут» НАН України 2005
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Цитувати:Peculiarities of plasma fluctuations during RF heating in Uragan-3M torsatron by means of two alfven waves / O.S. Pavlichenko, A.I. Skibenko, E.D. Volkov, V.L. Berezhniy, V.L. Ocheretenko, V.G. Konovalov, A.Ye. Kulaga, A.P. Litvinov, I.B. Pinos, A.V. Prokopenko, A.N. Shapoval, O.M. Shvets, S.A. Tsybenko // Вопросы атомной науки и техники. — 2005. — № 2. — С. 17-19. — Бібліогр.: 5 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
_version_ 1859941578097819648
author Pavlichenko, O.S.
Skibenko, A.I.
Volkov, E.D.
Berezhniy, V.L.
Ocheretenko, V.L.
Konovalov, V.G.
Kulaga, A.Ye.
Litvinov, A.P.
Pinos, I.B.
Prokopenko, A.V.
Shapoval, A.N.
Shvets, O.M.
Tsybenko, S.A.
author_facet Pavlichenko, O.S.
Skibenko, A.I.
Volkov, E.D.
Berezhniy, V.L.
Ocheretenko, V.L.
Konovalov, V.G.
Kulaga, A.Ye.
Litvinov, A.P.
Pinos, I.B.
Prokopenko, A.V.
Shapoval, A.N.
Shvets, O.M.
Tsybenko, S.A.
citation_txt Peculiarities of plasma fluctuations during RF heating in Uragan-3M torsatron by means of two alfven waves / O.S. Pavlichenko, A.I. Skibenko, E.D. Volkov, V.L. Berezhniy, V.L. Ocheretenko, V.G. Konovalov, A.Ye. Kulaga, A.P. Litvinov, I.B. Pinos, A.V. Prokopenko, A.N. Shapoval, O.M. Shvets, S.A. Tsybenko // Вопросы атомной науки и техники. — 2005. — № 2. — С. 17-19. — Бібліогр.: 5 назв. — англ.
collection DSpace DC
container_title Вопросы атомной науки и техники
description Three wave interaction has been observed in experiments on Uragan-3M torsatron. Two RF antennas with frequencies Ω1 and Ω2 were used simultaneously for plasma production and heating. Plasma was probed by microwaves, these allowed to study reflection of microwaves at almost whole plasma radius. Spectral analysis of reflected microwaves showed an existence of plasma density fluctuation with frequency Ω1 – Ω2. The suppression of plasma low frequencies was observed, when the plasma oscillation with Ω1 – Ω2 frequency has appeared. Microwaves probing of these fluctuations is the useful tool for studies of their influence on plasma behavior and possibly RF power absorption profile. Трьоххвильова взаємодія спостерігалась в експериментах на торсатроні Ураган-3М. Дві ВЧ антени з частотами Ω1 і Ω2 одночасно використовувались для створення і нагріву плазми, яка зондувалась мікрохвилями, місце відбиття яких перекривало майже весь радіус. При спектральному аналізі відбитих НВЧ сигналів виявлені флуктуації густини плазми з частотою Ω1 – Ω2. При появі коливань з частотою Ω1 – Ω2 спостерігалось пригнічення НЧ флуктуацій. Мікрохвильове зондування є корисним засобом для вивчення їх впливу на поведінку плазми та, можливо, для відтворення профілю поглинання ВЧ потужності. Трехволновое взаимодействие наблюдалось в экспериментах на торсатроне Ураган-3М. Две ВЧ антенны с частотами Ω1 и Ω2 одновременно использовались для создания и нагрева плазмы, которая зондировалась микроволнами, место отражения которых перекрывало почти весь радиус. При спектральном анализе отраженных СВЧ сигналов обнаружены флуктуации плотности плазмы с частотой Ω1 – Ω2. При появлении колебаний на частоте Ω1 – Ω2 наблюдалось подавление НЧ флуктуаций. Микроволновое зондирование является полезным средством для изучения их влияния на поведение плазмы и, возможно, для воссоздания профиля поглощения ВЧ мощности.
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fulltext PECULIARITIES OF PLASMA FLUCTUATIONS DURING RF HEATING IN URAGAN-3M TORSATRON BY MEANS OF TWO ALFVEN WAVES O.S. Pavlichenko, A.I. Skibenko, E.D. Volkov, V.L. Berezhniy, V.L. Ocheretenko, V.G. Konovalov, A.Ye. Kulaga, A.P. Litvinov, I.B. Pinos, A.V. Prokopenko, A.N. Shapoval, O.M. Shvets, S.A. Tsybenko Institute of Plasma Physics, NSC KIPT, 61108, Kharkov, Ukraine Three wave interaction has been observed in experiments on Uragan-3M torsatron. Two RF antennas with frequencies Ω1 and Ω2 were used simultaneously for plasma production and heating. Plasma was probed by microwaves, these allowed to study reflection of microwaves at almost whole plasma radius. Spectral analysis of reflected microwaves showed an existence of plasma density fluctuation with frequency Ω1 – Ω2. The suppression of plasma low frequencies was observed, when the plasma oscillation with Ω1 – Ω2 frequency has appeared. Microwaves probing of these fluctuations is the useful tool for studies of their influence on plasma behavior and possibly RF power absorption profile. PACS: 52.55.Hc It is known [1] that perturbations induced in plasma by powerful electromagnetic (EM) wave influence the propagation of other waves propagating through perturbed region. Plasma parameters – electroconductivity and dielectric permittivity – are being modulated by a powerful wave with frequency of Ω1. If other powerful EM wave with frequency of Ω2 propagates through the same region, plasma parameter modulation on a difference frequency Ω = Ω1 – Ω2 is due to nonlinear interaction. If the third EM wave propagates (reflects) through this region, it can be modulated due to modulation of plasma parameters on frequency Ω. Interaction of waves in plasma was studied in 3-wave approximation for arbitrary number of interacting waves [2]. The difference frequency perturbations have been observed at interaction of SHF waves in the upper hybrid resonance region [3]. In this work we have studied plasma fluctuations induced in Uragan-3M (U3-M) torsatron difference frequency of two RF oscillators used for plasma production and heating by absorption of waves in region of Alfven resonance [4]. Two RF antennas – frame type and 3-half turn type [4] were fed from separate oscillators (frequency – Ω1.2 ≈ 8.4 … 8.8 MHz, RF power – up to 200kW, pulse duration – up to 50 ms); different scenarios of antenna turn on/off were used including of 20 ms overlapping of RF pulses. The difference of oscillator frequencies was varied for optimization of power absorption (∆Ω ≈ 0.1 … 0.4 MHz). In these experiments data on plasma density and it fluctuations were obtained by means of 3 channel microwave reflectometer, edge Hα line observation and ECE (2nd harmonic, X-mode). Schematic setup of RF and microwave antennas is shown on Fig.1.Plasma was probed by microwave in 3 locations and for different Fig.1 directions: in horizontal direction – X-wave probing F = 18…26 GHz (Fig.1b) - both inside (1) and outside (2) and in vertical direction (3) – O-wave probing F =10Hz. This allowed to study reflection of microwaves at almost whole plasma radius (0.1 < r/a < 0.9) [5]. Line averaged electron density was measured by 2mm microwave interferometer. Fig.2 For Hα-emission observation we have used a simple setup: 2 lens + filters + PMT. These detectors could get plasma light from volumes of ~ 2 cm cross-beam size (Fig.2). ECE signals were received in range F=30…37.5 GHz. Fig.3. Time dependency integral density NL, HF curent of 1st (K1) and 2nd (K2) oscillators, reflected UHF signal Data were sampled with ADC (sampling frequency – up to 3 MHz), stored and analyzed. Spectral analysis of reflected microwaves and Hα- emission showed that a strong component of high frequency fluctuations (F = 70 … 300 kHz) has been observed on spectra of signals related to electron density Problems of Atomic Science and Technology. Series: Plasma Physics (11). 2005. № 2. P. 17-19 17 a b D-D fluctuations (Fig.4.) during time period of simultaneous operation of both K1, K2 oscillators (Fig.3). 0 100 200 300 400 10 -3 10 -2 10 -1 10 0 10 1 10 2 10 3 f , k H z L o g (P o w e r sp e ct ru m ) Fig.4. Spectrum of reflected X-wave (F=25 GHz) during time period of simultaneous operation of two RF oscillators Fig.5. Dependency of excited oscillation on frequency difference of oscillators As for as it was seen that the frequency and amplitude of this component depended on RF oscillators frequency a close look on relationship between RF oscillators frequencies and frequency of fluctuations was done. Results of these observations summarize Fig.5 showing that strong electron density modulation on the difference (beat) frequency F ≈ F1 – F2 (F1, F2 – RF oscillator frequencies) takes place. It was interesting to study properties of these fluctuations, in particular – radial distribution and RF power dependence. For comparison of data obtained for different discharges and for different probing microwave frequencies a normalization of data of numerical spectral analysis was performed according to formula (1) Pnorm f 1− f 2 =P peak >< Alevel/¿P full¿ ¿ , (1) where ¿P full >= 1 ni ∑ P i f  – averaged spectral power in the frequency range of 5ч500 kHz, ¿P peak >= 1 nk ∑ Pk  f  – averaged spectral power in the frequency range of 4kHz around the beat frequency, ¿Alevel >= 1 ni ∑ Ai – signal amplitude averaged by data ensemble. Time behavior of reflected microwave fluctuation spectra in discharges with 10 ms overlapping of RF oscillator pulses is shown on Fig.6. Two frequency domains are observed: broad band (few kHz – ≈ 100 kHz) “natural” fluctuations and RF induced beat frequency region (Ω ≈ Ω1 – Ω2). Fig.6. Temporal-frequency behavior of reflected wave fluctuations Intensity of beat frequency fluctuations is much larger then that of “natural” broadband fluctuations. Their appearance is accompanied by suppression of “natural” fluctuations. After turn off of first RF oscillator, “natural” fluctuations are restored. The effect of suppression of the “natural” fluctuations is stronger with increase of beat frequency fluctuations. Low level oscillations in the beat frequency range were observed also when the 2nd RF oscillator was not powered. This can be explained as result of excitation of the 2nd oscillator by the oscillations of the 1st one. Fluctuations in the beat frequency range have a finite width of ∆f = 5÷50 kHz and shape of this band is changing during overlap period: low frequencies prevail at the beginning, high frequencies – in the end of overlap period. Fig.7. The reflected wave fluctuation amplitude versus the generator lamp voltage The beat frequency fluctuation intensity depends on RF oscillator’s power. This fact illustrates Fig7, where 1 – 2nd RF oscillator lamp anode voltage was constant (9 kV), 18 1st one was changed; 2 – 1st RF oscillator lamp anode voltage was constant (7.5 kV), 2nd one was changed. It was interesting to study a radial distribution of the beat frequency fluctuations as for as it give some information of RF wave power radial distribution. This study was done with microwaves reflecting all along plasma radius (X-wave, 19÷25 GHz). The dependence of the beat frequency fluctuation obtained at probing frequency change is shown on Fig8. The reflecting layer position for a given probing frequency was determined from measured reflected wave phase shift Δϕ 2π = 2f c ∫ 0 rcut μO , X  r dr , (2) where μO,X – reflection indexes for O- or X-waves. Fig.8. Frequency dependency of fluctuation amplitude: 1 – outside probing, 2 – inside probing It was shown in this experiment that attempts to increase heating RF power by simultaneous operation of 2 RF oscillators with different frequencies are accompanied with the excitation of plasma density fluctuations in the vicinity of difference (beat) frequency of oscillators. For plasma optimization the difference frequency of 2 RF oscillators was usually in the range of 200ч300 kHz and larger then frequency band of ‘natural” density fluctuations (1ч100 kHz). The beat frequency excitation was accompanied with suppression of “natural” fluctuations (Fig.6, 9), but had no noticeable effects on plasma confinement. Observation of “beat” frequency in the electron density fluctuation spectrum at excitation of 2 Alfven waves with different frequencies in plasma presumes an existence of density fluctuation at Alfven wave frequencies. Fig.9. Dependency η=P2/P1 from probing frequency (P1 is total power of fluctuation when one oscilator was switched on, P2 is one when two oscilators where switched on) Direct observation of high frequency (8 MHz) density fluctuations might give information on link between RF wave amplitude and RF density fluctuations and is of interest from the point of view of RF power deposition profile diagnostic. REFERENCES 1. V.L. Ginsburg. Propagation of the electromagnetic waves in plasma. Moscow: "Nauka", 1967. 2. A.S. Bakai // Nuclear fusion (10) 1970, p. 53-67. 3. A.S. Bakai, M.P. Vasil'ev, V.S. Voitsenya et al. // Plasma Physics (4). 1976, p. 694 (in Russian). 4. A.I. Lysoivan, V.E. Moiseenko, V.V. Plusnin et al. // Fusion Engineering and Design (26). 1995, p. 185- 190. 5. A. I. Skibenko, O. S. Pavlichenko, E.D. Volkov et al. // Problems of Atomic Science and Technology. Series: "Plasma Physics" (7). 2002, № 4, p. 62-64. ОСОБЕННОСТИ ПЛАЗМЕННЫХ ФЛУКТУАЦИЙ ВО ВРЕМЯ ВЧ НАГРЕВА В ТОРСАТРОНЕ УРАГАН-3М ДВУМЯ АЛЬФВЕНОВСКИМИ ВОЛНАМИ О.С. Павличенко, А.И. Скибенко, Е.Д. Волков, В.Л. Бережный, В.Л. Очеретенко, В.Г. Коновалов, А.Е. Кулага, А.П. Литвинов, И.Б. Пинос, А.В. Прокопенко, А.Н. Шаповал, О.М. Швець, С.А. Цыбенко Трехволновое взаимодействие наблюдалось в экспериментах на торсатроне Ураган-3М. Две ВЧ антенны с частотами Ω1 и Ω2 одновременно использовались для создания и нагрева плазмы, которая зондировалась микроволнами, место отражения которых перекрывало почти весь радиус. При спектральном анализе отраженных СВЧ сигналов обнаружены флуктуации плотности плазмы с частотой Ω1 – Ω2. При появлении колебаний на частоте Ω1 – Ω2 наблюдалось подавление НЧ флуктуаций. Микроволновое зондирование является полезным средством для изучения их влияния на поведение плазмы и, возможно, для воссоздания профиля поглощения ВЧ мощности. ОСОБЛИВІСТЬ ПЛАЗМОВИХ ФЛУКТУАЦІЙ ПРОТЯГОМ ВЧ НАГРІВУ В ТОРСАТРОНІ УРАГАН-3М ДВОМА АЛЬФВЕНІВСЬКИМИ ХВИЛЯМИ О.С. Павличенко, A.І. Скибенко, Є.Д. Волков, В.Л. Бережний, В.Л. Очеретенко, В.Г. Коновалов, А.Є. Кулага, А.П. Літвінов, І.Б. Пінос, О.В. Прокопенко, А.М. Шаповал, О.М. Швець, С.А. Цибенко 19 Трьоххвильова взаємодія спостерігалась в експериментах на торсатроні Ураган-3М. Дві ВЧ антени з частотами Ω1 і Ω2 одночасно використовувались для створення і нагріву плазми, яка зондувалась мікрохвилями, місце відбиття яких перекривало майже весь радіус. При спектральному аналізі відбитих НВЧ сигналів виявлені флуктуації густини плазми з частотою Ω1 – Ω2. При появі коливань з частотою Ω1 – Ω2 спостерігалось пригнічення НЧ флуктуацій. Мікрохвильове зондування є корисним засобом для вивчення їх впливу на поведінку плазми та, можливо, для відтворення профілю поглинання ВЧ потужності. 20
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1562-6016
language English
last_indexed 2025-12-07T16:11:10Z
publishDate 2005
publisher Національний науковий центр «Харківський фізико-технічний інститут» НАН України
record_format dspace
spelling Pavlichenko, O.S.
Skibenko, A.I.
Volkov, E.D.
Berezhniy, V.L.
Ocheretenko, V.L.
Konovalov, V.G.
Kulaga, A.Ye.
Litvinov, A.P.
Pinos, I.B.
Prokopenko, A.V.
Shapoval, A.N.
Shvets, O.M.
Tsybenko, S.A.
2015-03-31T08:19:17Z
2015-03-31T08:19:17Z
2005
Peculiarities of plasma fluctuations during RF heating in Uragan-3M torsatron by means of two alfven waves / O.S. Pavlichenko, A.I. Skibenko, E.D. Volkov, V.L. Berezhniy, V.L. Ocheretenko, V.G. Konovalov, A.Ye. Kulaga, A.P. Litvinov, I.B. Pinos, A.V. Prokopenko, A.N. Shapoval, O.M. Shvets, S.A. Tsybenko // Вопросы атомной науки и техники. — 2005. — № 2. — С. 17-19. — Бібліогр.: 5 назв. — англ.
1562-6016
PACS: 52.55.Hc
https://nasplib.isofts.kiev.ua/handle/123456789/79312
Three wave interaction has been observed in experiments on Uragan-3M torsatron. Two RF antennas with frequencies Ω1 and Ω2 were used simultaneously for plasma production and heating. Plasma was probed by microwaves, these allowed to study reflection of microwaves at almost whole plasma radius. Spectral analysis of reflected microwaves showed an existence of plasma density fluctuation with frequency Ω1 – Ω2. The suppression of plasma low frequencies was observed, when the plasma oscillation with Ω1 – Ω2 frequency has appeared. Microwaves probing of these fluctuations is the useful tool for studies of their influence on plasma behavior and possibly RF power absorption profile.
Трьоххвильова взаємодія спостерігалась в експериментах на торсатроні Ураган-3М. Дві ВЧ антени з частотами Ω1 і Ω2 одночасно використовувались для створення і нагріву плазми, яка зондувалась мікрохвилями, місце відбиття яких перекривало майже весь радіус. При спектральному аналізі відбитих НВЧ сигналів виявлені флуктуації густини плазми з частотою Ω1 – Ω2. При появі коливань з частотою Ω1 – Ω2 спостерігалось пригнічення НЧ флуктуацій. Мікрохвильове зондування є корисним засобом для вивчення їх впливу на поведінку плазми та, можливо, для відтворення профілю поглинання ВЧ потужності.
Трехволновое взаимодействие наблюдалось в экспериментах на торсатроне Ураган-3М. Две ВЧ антенны с частотами Ω1 и Ω2 одновременно использовались для создания и нагрева плазмы, которая зондировалась микроволнами, место отражения которых перекрывало почти весь радиус. При спектральном анализе отраженных СВЧ сигналов обнаружены флуктуации плотности плазмы с частотой Ω1 – Ω2. При появлении колебаний на частоте Ω1 – Ω2 наблюдалось подавление НЧ флуктуаций. Микроволновое зондирование является полезным средством для изучения их влияния на поведение плазмы и, возможно, для воссоздания профиля поглощения ВЧ мощности.
en
Національний науковий центр «Харківський фізико-технічний інститут» НАН України
Вопросы атомной науки и техники
Magnetic confinement
Peculiarities of plasma fluctuations during RF heating in Uragan-3M torsatron by means of two alfven waves
Особливість плазмових флуктуацій протягом ВЧ нагріву в торсатроні Ураган-3М двома альфвенівськими хвилями
Особенности плазменных флуктуаций во время ВЧ нагрева в торсатроне Ураган-3М двумя альфвеновскими волнами
Article
published earlier
spellingShingle Peculiarities of plasma fluctuations during RF heating in Uragan-3M torsatron by means of two alfven waves
Pavlichenko, O.S.
Skibenko, A.I.
Volkov, E.D.
Berezhniy, V.L.
Ocheretenko, V.L.
Konovalov, V.G.
Kulaga, A.Ye.
Litvinov, A.P.
Pinos, I.B.
Prokopenko, A.V.
Shapoval, A.N.
Shvets, O.M.
Tsybenko, S.A.
Magnetic confinement
title Peculiarities of plasma fluctuations during RF heating in Uragan-3M torsatron by means of two alfven waves
title_alt Особливість плазмових флуктуацій протягом ВЧ нагріву в торсатроні Ураган-3М двома альфвенівськими хвилями
Особенности плазменных флуктуаций во время ВЧ нагрева в торсатроне Ураган-3М двумя альфвеновскими волнами
title_full Peculiarities of plasma fluctuations during RF heating in Uragan-3M torsatron by means of two alfven waves
title_fullStr Peculiarities of plasma fluctuations during RF heating in Uragan-3M torsatron by means of two alfven waves
title_full_unstemmed Peculiarities of plasma fluctuations during RF heating in Uragan-3M torsatron by means of two alfven waves
title_short Peculiarities of plasma fluctuations during RF heating in Uragan-3M torsatron by means of two alfven waves
title_sort peculiarities of plasma fluctuations during rf heating in uragan-3m torsatron by means of two alfven waves
topic Magnetic confinement
topic_facet Magnetic confinement
url https://nasplib.isofts.kiev.ua/handle/123456789/79312
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AT shapovalan peculiaritiesofplasmafluctuationsduringrfheatinginuragan3mtorsatronbymeansoftwoalfvenwaves
AT shvetsom peculiaritiesofplasmafluctuationsduringrfheatinginuragan3mtorsatronbymeansoftwoalfvenwaves
AT tsybenkosa peculiaritiesofplasmafluctuationsduringrfheatinginuragan3mtorsatronbymeansoftwoalfvenwaves
AT pavlichenkoos osoblivístʹplazmovihfluktuacíiprotâgomvčnagrívuvtorsatroníuragan3mdvomaalʹfvenívsʹkimihvilâmi
AT skibenkoai osoblivístʹplazmovihfluktuacíiprotâgomvčnagrívuvtorsatroníuragan3mdvomaalʹfvenívsʹkimihvilâmi
AT volkoved osoblivístʹplazmovihfluktuacíiprotâgomvčnagrívuvtorsatroníuragan3mdvomaalʹfvenívsʹkimihvilâmi
AT berezhniyvl osoblivístʹplazmovihfluktuacíiprotâgomvčnagrívuvtorsatroníuragan3mdvomaalʹfvenívsʹkimihvilâmi
AT ocheretenkovl osoblivístʹplazmovihfluktuacíiprotâgomvčnagrívuvtorsatroníuragan3mdvomaalʹfvenívsʹkimihvilâmi
AT konovalovvg osoblivístʹplazmovihfluktuacíiprotâgomvčnagrívuvtorsatroníuragan3mdvomaalʹfvenívsʹkimihvilâmi
AT kulagaaye osoblivístʹplazmovihfluktuacíiprotâgomvčnagrívuvtorsatroníuragan3mdvomaalʹfvenívsʹkimihvilâmi
AT litvinovap osoblivístʹplazmovihfluktuacíiprotâgomvčnagrívuvtorsatroníuragan3mdvomaalʹfvenívsʹkimihvilâmi
AT pinosib osoblivístʹplazmovihfluktuacíiprotâgomvčnagrívuvtorsatroníuragan3mdvomaalʹfvenívsʹkimihvilâmi
AT prokopenkoav osoblivístʹplazmovihfluktuacíiprotâgomvčnagrívuvtorsatroníuragan3mdvomaalʹfvenívsʹkimihvilâmi
AT shapovalan osoblivístʹplazmovihfluktuacíiprotâgomvčnagrívuvtorsatroníuragan3mdvomaalʹfvenívsʹkimihvilâmi
AT shvetsom osoblivístʹplazmovihfluktuacíiprotâgomvčnagrívuvtorsatroníuragan3mdvomaalʹfvenívsʹkimihvilâmi
AT tsybenkosa osoblivístʹplazmovihfluktuacíiprotâgomvčnagrívuvtorsatroníuragan3mdvomaalʹfvenívsʹkimihvilâmi
AT pavlichenkoos osobennostiplazmennyhfluktuaciivovremâvčnagrevavtorsatroneuragan3mdvumâalʹfvenovskimivolnami
AT skibenkoai osobennostiplazmennyhfluktuaciivovremâvčnagrevavtorsatroneuragan3mdvumâalʹfvenovskimivolnami
AT volkoved osobennostiplazmennyhfluktuaciivovremâvčnagrevavtorsatroneuragan3mdvumâalʹfvenovskimivolnami
AT berezhniyvl osobennostiplazmennyhfluktuaciivovremâvčnagrevavtorsatroneuragan3mdvumâalʹfvenovskimivolnami
AT ocheretenkovl osobennostiplazmennyhfluktuaciivovremâvčnagrevavtorsatroneuragan3mdvumâalʹfvenovskimivolnami
AT konovalovvg osobennostiplazmennyhfluktuaciivovremâvčnagrevavtorsatroneuragan3mdvumâalʹfvenovskimivolnami
AT kulagaaye osobennostiplazmennyhfluktuaciivovremâvčnagrevavtorsatroneuragan3mdvumâalʹfvenovskimivolnami
AT litvinovap osobennostiplazmennyhfluktuaciivovremâvčnagrevavtorsatroneuragan3mdvumâalʹfvenovskimivolnami
AT pinosib osobennostiplazmennyhfluktuaciivovremâvčnagrevavtorsatroneuragan3mdvumâalʹfvenovskimivolnami
AT prokopenkoav osobennostiplazmennyhfluktuaciivovremâvčnagrevavtorsatroneuragan3mdvumâalʹfvenovskimivolnami
AT shapovalan osobennostiplazmennyhfluktuaciivovremâvčnagrevavtorsatroneuragan3mdvumâalʹfvenovskimivolnami
AT shvetsom osobennostiplazmennyhfluktuaciivovremâvčnagrevavtorsatroneuragan3mdvumâalʹfvenovskimivolnami
AT tsybenkosa osobennostiplazmennyhfluktuaciivovremâvčnagrevavtorsatroneuragan3mdvumâalʹfvenovskimivolnami