Improving RF generation conditions in a ferrite-filled transmission line
The paper considers transformation of the short unipolar pulse of electric current in a coaxial transmission line filled with a ferromagnetic into a shock wave, with later generation of quasi-monochromatic radio frequency oscillations. The frequencies and amplitudes of the oscillations are determi...
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Національний науковий центр «Харківський фізико-технічний інститут» НАН України
2018
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| Cite this: | Improving RF generation conditions in a ferrite-filled transmission line / S.Y. Karelin, V.B. Krasovitsky, I.I. Magda, V.S. Mukhin // Вопросы атомной науки и техники. — 2018. — № 4. — С. 273-276. — Бібліогр.: 11 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1859917110958882816 |
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| author | Karelin, S.Y. Krasovitsky, V.B. Magda, I.I. Mukhin, V.S. |
| author_facet | Karelin, S.Y. Krasovitsky, V.B. Magda, I.I. Mukhin, V.S. |
| citation_txt | Improving RF generation conditions in a ferrite-filled transmission line / S.Y. Karelin, V.B. Krasovitsky, I.I. Magda, V.S. Mukhin // Вопросы атомной науки и техники. — 2018. — № 4. — С. 273-276. — Бібліогр.: 11 назв. — англ. |
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| container_title | Вопросы атомной науки и техники |
| description | The paper considers transformation of the short unipolar pulse of electric current in a coaxial transmission line
filled with a ferromagnetic into a shock wave, with later generation of quasi-monochromatic radio frequency
oscillations. The frequencies and amplitudes of the oscillations are determined by dispersive and non-linear
properties of the transmission line, governed by the geometry and size of the line proper, and layered structure and
intrinsic dispersion of the ferromagnetic material. The numerical experiments done for a variety of geometrical and
material parameters of the line have allowed suggesting technical solutions as to increase in the efficiency of the dcto-rf power conversion.
Розглянуто трансформацію короткого уніполярного імпульсу струму в коаксиальній лінії, що заповнена
феромагнетиком, в електромагнітну ударну хвилю з подальшою генерацією квазімонохроматичних коливань у
радіочастотному діапазоні. Частота та амплітуда збуджуваних коливань визначаються дисперсійними та нелінійними властивостями лінії передачі, що залежать від її розмірів і геометрії, а також власних дисперсійних
властивостей ферита і шаруватої структури заповнення лінії. Числові експерименти, що проведені для різних
значень геометричних та матеріальних параметрів системи, дозволяють пропонувати технічні рішення щодо
підвищення ефективності перетворення імпульсів «постійного» струму в радіочастотні коливання.
Рассматривается трансформация короткого униполярного токового импульса в коаксиальной линии,
заполненной ферромагнетиком, в электромагнитную ударную волну с последующей генерацией
квазимонохроматических осцилляций радиочастотного диапазона. Частота и амплитуда возбуждаемых
осцилляций определяются дисперсионными и нелинейными характеристиками передающей линии, которые
зависят от ее размеров и геометрии, а также собственных дисперсионных свойств феррита и слоистой
структуры заполнения линии. Численные эксперименты, выполненные для различных значений
геометрических и материальных параметров системы, позволяют предложить технические решения для
увеличения эффективности преобразования импульсов «постоянного» тока в радиочастотные колебания.
|
| first_indexed | 2025-12-07T16:06:30Z |
| format | Article |
| fulltext |
ISSN 1562-6016. ВАНТ. 2018. №4(116) 273
IMPROVING RF GENERATION CONDITIONS IN A FERRITE-FILLED
TRANSMISSION LINE
S.Y. Karelin, V.B. Krasovitsky, I.I. Magda, V.S. Mukhin
National Science Center “Kharkov Institute of Physics and Technology”, Kharkov, Ukraine
E-mail: magda@kipt.kharkov.ua
The paper considers transformation of the short unipolar pulse of electric current in a coaxial transmission line
filled with a ferromagnetic into a shock wave, with later generation of quasi-monochromatic radio frequency
oscillations. The frequencies and amplitudes of the oscillations are determined by dispersive and non-linear
properties of the transmission line, governed by the geometry and size of the line proper, and layered structure and
intrinsic dispersion of the ferromagnetic material. The numerical experiments done for a variety of geometrical and
material parameters of the line have allowed suggesting technical solutions as to increase in the efficiency of the dc-
to-rf power conversion.
PACS: 02.60, 05.45-a, 41.20Gz
INTRODUCTION
The physical effects leading to direct conversion of
short carrier-free electric pulses into radio frequency
oscillations have been the subject of intense studies for
quite a long time. In particular, a pulse of electric cur-
rent traveling through a transmission line (TL) filled
with a non-saturated ferrite demonstrates sharpening of
its front edge and formation of a shock-like waveform,
should the current magnitude be high enough to reveal
non-linear response of the ferrite medium [1, 2]. When
the ferrite gets magnetized close to saturation, under the
influence of both the external DC magnetic field along
the TL axis and the current-induced field oriented in a
transverse direction, quasi-periodic oscillations may
appear at frequencies falling into the RF or microwave
range [2 - 5]. The effect opens prospects for creating a
new branch of the high power electronics, operating
without intense particle beams or vacuum devices.
However, the underlying physics remains until now
only poorly understood, despite the considerable efforts
of many researchers. The most popular idea concerning
the reason for the appearance of the oscillations has for
some time been the precession motion of the magnetiza-
tion vector about the direction of the external magnetic
‘bias’ [2, 6], however this cannot explain, e.g., either the
dependence of the oscillation frequency upon the line’s
cross-section diameter or even the value itself.
The present work is devoted to the analysis of the
physical essence of the observed phenomenon on the
basis of existing theoretical models in order to explain
the above effect and to find ways to increase the effi-
ciency of excitation of oscillations.
1. EXPERIMENTAL RESULTS
Experiments on exciting the oscillations in a coaxial
line partially filled with a saturated NiZn ferromagnetic
of grade 200VNP were carried out using the high-
voltage impulse facility presented in [5]. The experi-
mental system (Fig. 1) consisted of the input and output
homogeneous coaxial transmission lines TL1 and TL2
and coaxial nonlinear transmission line (NLTL) contain-
ing a cylindrical ferrite insert. The coaxial NLTL wave-
guide had the length of 200…800 mm, different outer
and inner diameters (D3 = 10…52 mm, D1 =
4…20 mm), and diameters of the ferrite layer (D2 =
7…32 mm и D2/D1 = 1.6). The amplitude of the NLTL
input voltage pulse U0 was within 40...200 kV.
Fig. 1. Scheme of coaxial structure with NLTL
Fig. 2 shows typical input and output pulses of the
NLTL with D3/D2./D1 = 52 mm/32 mm/20 mm with the
bias magnetic field H0 = 30 kA/m and U0 = 200 kV. The
characteristics of the obtained RF oscillations were de-
termined according to the data of the first periods of
oscillations: the frequency f = 1/(t3-t1), and the relative
amplitude a = 100%(U1-U2)/(U1+U2). Typical oscilla-
tion characteristics registered in our experiments with
large-dimension NLTL (52/32/20 mm) [5] were f =
1.3 GHz, and a = 53% (see Fig. 2), while with small-
dimension NLTL (10 mm/7 mm/4 mm) were
f ~ 4 GHz, and a = 7%. To the data of our experiments,
we can add the results obtained by other authors. In the
experiments [2] with the NLTL of very small diameter
(D3 = 3 mm), the oscillations were observed in the fre-
quency range of ~6 GHz.
Fig. 2. Typical waveform of the pulses at the NLTL
input (left) and output (right).
D3/D2./D1 = 52/32/20 mm, L= 800 mm
The paper [3] reported about a larger diameter
NLTL (D3 = 80 mm), where the frequency of oscilla-
tions were registered in the range of 0.8…2 GHz, and
a ≈ 50%. Finally, in the experiment [7], where a 500 kV
pulse was used to excite a very large-diameter NLTL
mailto:magda@kipt.kharkov.ua
ISSN 1562-6016. ВАНТ. 2018. №4(116) 274
(D3 = 275 mm and D2 = 200 mm), it was possible to
obtain oscillations with f ≈ 0.3 GHz and a ≈ 80%.
Summarizing, we can underline definite tendency
observed in the experiments that use the coaxial NLTLs
with magnetically saturated cylindrical NiZn ferrite lay-
er − the increase in the transverse dimensions of the
waveguide leads to the decrease in the oscillation fre-
quency and increase in their relative amplitude.
2. NUMERICAL EXPERIMENT
Excitation of RF oscillations in a coaxial ferrite filled
NLTL by a current pulse was simulated with the help of
the technique based on solution of Maxwell's equations
together with phenomenological Landau-Lifshitz-Gilbert
equation of state of the ferromagnetic medium [8]. The
calculations used the FDTD method [9].
The dielectric permittivities of the insulating
dielectric and ferrite were, respectively, of 2.25 and 16.
The ferrite layer diameter ratio D2./D1 was of 1.6. The
saturation magnetic field MS and the relaxation
coefficient in the Landau-Lifshitzt equation were
assumed to be 300 kA/m and 0.1, respectively.
Fig. 3. Calculated oscillation frequency (square) and
relative amplitude (star) as a function of the scaling
factor. Experimental data (circles) from papers:
1 – [7]; 2 – [3]; 3 – [5]; 4 – [4]; 5 – [2].
k = 1 relates to D3 = 52 mm
The relationship between the parameters of the oscil-
lations and the transverse dimensions of the NLTL is
shown in Fig. 3 as a function of the oscillation frequen-
cy and relative amplitude of the scale factor k, which
takes into account the proportional change in the wave-
guide transverse dimensions D'i=Di/k, and the input
pulse voltage U'=U/k. In this case, the azimuthal mag-
netic field of the current wave Hφ magnetizing the fer-
rite remains unchanged. It is taken into account that the
factor value k = 1 corresponds to D3 = 52 mm.
The simulation results (see Fig. 3) confirm the trend
revealed in the experiment: with increasing the trans-
verse dimensions, the oscillation frequency decreases,
and their amplitude increases. It is also seen that when
the transverse dimensions decrease (rising k), the oscil-
lation frequency reaches a certain high level and then
almost does not change.
3. ANALYSIS OF THE RESULTS
A number of authors [2, 4, 6, 10] consider the mag-
netic moment precession excited by TEM current wave
in NLTL filled with saturated ferrite as a source of HF
oscillations, and the oscillation frequency equal to the
precession frequency. However, experiments and nu-
merical calculations indicate that the oscillation fre-
quency has a direct relationship with the transverse di-
mensions of the coaxial NLTL.
In our interpretation, the mechanism of excitation of
RF oscillations in a coaxial NLTL filled with ferrite
looks as follows. An unipolar electromagnetic pulse,
which presents a TEM wave, propagates along the coax-
ial NLTL, in which a parametric relationship μ(H) ex-
ists, and forms a shock wave. The effects at the shock
wave leading edge are determined by the balance of a
number of conditions: (1) the nonlinearity of μ(Hφ), (2)
the energy dissipation of the HF components due to
losses in the waveguide, and (3) the dispersion proper-
ties of the ferrite medium. The first condition leads to
the shock wave rise time decrease, while the second and
third lead, on the contrary, to the rise time increase.
In the process the current wave propagation down
the nonuniform coaxial NLTL, a more complex wave
structure – quasi-TEM wave, which has a non-zero lon-
gitudinal component of the electric field EZ, is formed.
In this case, the LF components of the quasi-TEM wave
coincide in properties with the TEM wave. However,
for HF components with the frequencies in the region of
the critical frequency of corresponding lower waveguide
TE or TM modes of inhomogeneous NLTL the disper-
sion properties are noticeably manifested. As it follows
from the calculation, the experimentally observed fre-
quency of the oscillations is close to the critical fre-
quency of the TM01 mode fCR ≈ c(ε*μ*)1/2/(D3-D1),
where ε* and μ* are the NLTL effective dielectric per-
mittivity and magnetic permeability taking into account
the ferrite filling factor of an inhomogeneous line. It is
important to note that as the shock wave propagates
through the NLTL and front edge contracts, its energy
transfers from the LF to the HF components, providing
an increase in the amplitude of the excited oscillations.
It should be noted that the calculations of the oscilla-
tion frequency carried out using a one-dimensional
model of NLTL [2] does not take into account the fea-
tures of wave propagation in nonuniform waveguide
structure. Therefore, the analysis of such a system is
correct only when using the complete system of Max-
well equations that takes into account the dispersion of
the waveguide modes.
Fig. 4. Calculated oscillation frequency (square)
and relative amplitude (star) as a function
of the ferrite outer diameter (D3 = 52 mm)
ISSN 1562-6016. ВАНТ. 2018. №4(116) 275
Fig. 4 presents the results of calculating the frequency
and relative amplitude of the oscillations as a function of
the outer diameter of the ferrite D2 (for fixed geometrical
parameters of the line, D3/D1 = 52/20 mm). As the NLTL
filling factor with ferrite increases, the dependence f(D2)
demonstrates a tendency to move to a certain fCR MIN. This
behavior can be explained by the gradual increase of the
waveguide filling factor and, accordingly, increase of ε*
and μ, so that the corresponding fCR, proportional to
(ε*μ*) -1/2, shows monotonous decrease. The graph of the
dependence of the oscillation relative amplitude on the
waveguide ferrite filling factor (see Fig. 4) demonstrates
a maximum at D2/D3 = 40…50%. An analogous depend-
ence of a(D2) was observed in a number of our experi-
ments with NLTL [5, 11].
Fig. 5. Calculated oscillation frequency (square)
and relative amplitude (star) as a function
of the coax outer diameter (D2 = 32 mm)
Fig. 6. Calculated oscillation frequency (square) and
relative amplitude (star) as a function of the ferrite
dielectric permittivity (D3 = 52 mm, D2 = 32 mm)
The interpretation of the results presented above also
confirms the calculated dependence of the oscillation
frequency on the coaxial outer dimension f(D3). Fig. 5
demonstrates the oscillation frequency monotonic de-
crease and tendency to a definite value with increasing
D3. Obviously, this trend is associated with an increase
in the difference in diameters D3 – D2, which leads to a
decrease in fCR (TM01). If the line external diameter D3 is
reduced, approaching the ferrite outer diameter D2, then
at D3 = D2, a line completely filled with ferrite is real-
ized. The line with the new parameters D3/D1 =
32 mm/20 mm smaller than of the original ones D3/D1 =
52 mm/20 mm demonstrates, respectively, higher oscil-
lation frequency (see Fig. 3). It worth noting that the
frequency value observed at D3 = D2 is maximum for
the line with D3/D1 = 52 mm/20 mm (see Fig.5), and is
minimum for the line with D3/D1=32/20 mm.
4. IMPROVING THE OSCILLATION
EXCITATION EFFICIENCY
Thus, the simulation has shown that the efficiency of
formation of oscillations can be varied by means of
choosing the characteristics the coaxial waveguide and
ferrite. For example, this can be achieved by increasing
the ferrite permittivity in comparison with the dielectric
permittivity εf, as well as by increasing the ferrite
magnetic saturation moment Ms. Fig. 6 shows the results
of calculations for the NLTL with a variable εf and fixed
Ms = 300 kA/m. Fig. 7 shows the NLTL output signal
with hypothetical ferrite, for which εf = 50, and Ms =
1000 kA/m. In this case, the relative amplitude of the
oscillations reaches 90%.
Рис. 7. The output signal waveform for NLTL
with ferrite characteristics: Ms = 1000 kА/m,
and ε = 50; U0 = 200 kV
Obviously, this method is difficult to be implement-
ed in practice, since it requires ferrites with abnormally
high εf and Ms (usually Ms ≈ 300 kA/m). Thus, several
other variants of NLTL, realizing more practical and
efficient ways for exciting the HF oscillation are con-
sidered below.
Fig. 8. The output signals of NLTL with different
design: 1 – basic design; 2 – variant A;
3 – variant B; 4 – variant C. U0 = 200 kV
Calculations were performed for NLTL with dimen-
sions D3/D2./D1 = 52/32/20 mm and L = 800 mm at
U0 = 200 kV:
Variant A – a ferrite layer was placed in a dielectric
sleeve with diameters of 32/38 mm and ε = 30 (Fig. 8,
curve 2).
Variant B – a homogeneous ferrite layer was re-
placed by a layered structure, where 10 mm thick ferrite
disks were interchanged with 3 mm thick disks of a die-
lectric with ε = 30. The decrease in the ferrite volume
was compensated by an increase in the structure length
from 800 mm to 1400 mm (see Fig. 8, curve 3).
ISSN 1562-6016. ВАНТ. 2018. №4(116) 276
Variant C – both methods were used simultaneously
(see Fig. 8, curve 4).
The results of the calculations are tabulated. All three
methods increase the efficiency of the formation of os-
cillations, and the most effective is the third combined
method. It should be noted that when using these meth-
ods, an increase in the amplitude of the oscillations is
accompanied by a decrease in their frequency.
NLTL a, % f, GHz
Original design 54 1.62
Variant A (dielectric tube) 68 0.88
Variant B (layered structure) 63 1.27
Variant C (dielectric tube and layered
structure) 74 0.75
CONCLUSIONS
In this paper we present an alternative treatment of
the phenomenon of excitation of HF oscillations in a
nonlinear transmission line. The oscillation frequency
and amplitude are determined by the dispersion and
nonlinear characteristics of the coaxial waveguide sys-
tem, which in turn depend on its dimensions and geome-
try, as well as the dispersion properties of the ferrite and
the layered structure of the line filling. The optimum
filling factor of the NLTL by ferrite (from the point of
view of obtaining the maximum oscillation amplitude) is
of 40…50%. It is shown that the amplitude of the oscilla-
tions can be increased by increasing the difference be-
tween the permittivity of the ferrite and the insulating
dielectric, and also by means of special inserts in the
NLTL of a dielectric with high dielectric permittivity.
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2. J.E. Dolan. Simulation of shock waves in ferrite-
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3. V.V. Rostov, N.M. Bykov, D.N. Bykov, A.I.
Klimov, O.B. Kovalchuk, I.V. Romanchenko. Gen-
eration of Subgigawatt RF Pulses in Nonlinear
Transmission Lines // IEEE Trans. on Plasma Sci.
2010, v. 38, № 10, р. 2681.
4. D.V. Reale. Coaxial Ferrimagnetic Based Gyromag-
netic Nonlinear Transmission Lines as Compact
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5. J.-W. Ahn, S.Y. Karelin, H.-O. Kwon, I.I. Magda,
and V.G. Sinitsin. Exciting High Frequency Oscilla-
tions in a Coaxial Transmission Line with a Magnet-
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№ 4, p. 460-465.
6. J.O. Rossi, F.S. Yamasaki, J.J. Barroso,
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9. S.Y. Karelin. FDTD analysis of nonlinear magnet-
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11. S.Yu. Karelin, V.B. Krasovitsky, I.I. Magda,
V.S. Mukhin, O.G. Melezhik, V.G. Sinitsin. Wide-
band RF radiation from a nonlinear transmission line
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Article received 26.06.2018
ОПТИМИЗАЦИЯ УСЛОВИЙ ВОЗБУЖДЕНИЯ ОСЦИЛЛЯЦИЙ
В КОАКСИАЛЬНОЙ ЛИНИИ С НАМАГНИЧЕННЫМ ФЕРРИТОМ
С.Ю. Карелин, В.Б. Красовицкий, И.И. Магда, В.С. Мухин
Рассматривается трансформация короткого униполярного токового импульса в коаксиальной линии,
заполненной ферромагнетиком, в электромагнитную ударную волну с последующей генерацией
квазимонохроматических осцилляций радиочастотного диапазона. Частота и амплитуда возбуждаемых
осцилляций определяются дисперсионными и нелинейными характеристиками передающей линии, которые
зависят от ее размеров и геометрии, а также собственных дисперсионных свойств феррита и слоистой
структуры заполнения линии. Численные эксперименты, выполненные для различных значений
геометрических и материальных параметров системы, позволяют предложить технические решения для
увеличения эффективности преобразования импульсов «постоянного» тока в радиочастотные колебания.
ОПТИМІЗАЦІЯ УМОВ ЗБУДЖЕННЯ ОСЦИЛЯЦІЙ В КОАКСИАЛЬНІЙ ЛІНІЇ
З НАМАГНІЧЕНИМ ФЕРИТОМ
С.Ю. Карелін, В.Б. Красовицький, І.І. Магда, В.С. Мухін
Розглянуто трансформацію короткого уніполярного імпульсу струму в коаксиальній лінії, що заповнена
феромагнетиком, в електромагнітну ударну хвилю з подальшою генерацією квазімонохроматичних коливань у
радіочастотному діапазоні. Частота та амплітуда збуджуваних коливань визначаються дисперсійними та нелі-
нійними властивостями лінії передачі, що залежать від її розмірів і геометрії, а також власних дисперсійних
властивостей ферита і шаруватої структури заповнення лінії. Числові експерименти, що проведені для різних
значень геометричних та матеріальних параметрів системи, дозволяють пропонувати технічні рішення щодо
підвищення ефективності перетворення імпульсів «постійного» струму в радіочастотні коливання.
|
| id | nasplib_isofts_kiev_ua-123456789-147452 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1562-6016 |
| language | English |
| last_indexed | 2025-12-07T16:06:30Z |
| publishDate | 2018 |
| publisher | Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
| record_format | dspace |
| spelling | Karelin, S.Y. Krasovitsky, V.B. Magda, I.I. Mukhin, V.S. 2019-02-14T18:52:41Z 2019-02-14T18:52:41Z 2018 Improving RF generation conditions in a ferrite-filled transmission line / S.Y. Karelin, V.B. Krasovitsky, I.I. Magda, V.S. Mukhin // Вопросы атомной науки и техники. — 2018. — № 4. — С. 273-276. — Бібліогр.: 11 назв. — англ. 1562-6016 PACS: 02.60, 05.45-a, 41.20Gz https://nasplib.isofts.kiev.ua/handle/123456789/147452 The paper considers transformation of the short unipolar pulse of electric current in a coaxial transmission line filled with a ferromagnetic into a shock wave, with later generation of quasi-monochromatic radio frequency oscillations. The frequencies and amplitudes of the oscillations are determined by dispersive and non-linear properties of the transmission line, governed by the geometry and size of the line proper, and layered structure and intrinsic dispersion of the ferromagnetic material. The numerical experiments done for a variety of geometrical and material parameters of the line have allowed suggesting technical solutions as to increase in the efficiency of the dcto-rf power conversion. Розглянуто трансформацію короткого уніполярного імпульсу струму в коаксиальній лінії, що заповнена феромагнетиком, в електромагнітну ударну хвилю з подальшою генерацією квазімонохроматичних коливань у радіочастотному діапазоні. Частота та амплітуда збуджуваних коливань визначаються дисперсійними та нелінійними властивостями лінії передачі, що залежать від її розмірів і геометрії, а також власних дисперсійних властивостей ферита і шаруватої структури заповнення лінії. Числові експерименти, що проведені для різних значень геометричних та матеріальних параметрів системи, дозволяють пропонувати технічні рішення щодо підвищення ефективності перетворення імпульсів «постійного» струму в радіочастотні коливання. Рассматривается трансформация короткого униполярного токового импульса в коаксиальной линии, заполненной ферромагнетиком, в электромагнитную ударную волну с последующей генерацией квазимонохроматических осцилляций радиочастотного диапазона. Частота и амплитуда возбуждаемых осцилляций определяются дисперсионными и нелинейными характеристиками передающей линии, которые зависят от ее размеров и геометрии, а также собственных дисперсионных свойств феррита и слоистой структуры заполнения линии. Численные эксперименты, выполненные для различных значений геометрических и материальных параметров системы, позволяют предложить технические решения для увеличения эффективности преобразования импульсов «постоянного» тока в радиочастотные колебания. en Національний науковий центр «Харківський фізико-технічний інститут» НАН України Вопросы атомной науки и техники Нелинейные процессы Improving RF generation conditions in a ferrite-filled transmission line Оптимізація умов збудження осциляцій в коаксиальній лінії з намагніченим феритом Оптимизация условий возбуждения осцилляций в коаксиальной линии с намагниченным ферритом Article published earlier |
| spellingShingle | Improving RF generation conditions in a ferrite-filled transmission line Karelin, S.Y. Krasovitsky, V.B. Magda, I.I. Mukhin, V.S. Нелинейные процессы |
| title | Improving RF generation conditions in a ferrite-filled transmission line |
| title_alt | Оптимізація умов збудження осциляцій в коаксиальній лінії з намагніченим феритом Оптимизация условий возбуждения осцилляций в коаксиальной линии с намагниченным ферритом |
| title_full | Improving RF generation conditions in a ferrite-filled transmission line |
| title_fullStr | Improving RF generation conditions in a ferrite-filled transmission line |
| title_full_unstemmed | Improving RF generation conditions in a ferrite-filled transmission line |
| title_short | Improving RF generation conditions in a ferrite-filled transmission line |
| title_sort | improving rf generation conditions in a ferrite-filled transmission line |
| topic | Нелинейные процессы |
| topic_facet | Нелинейные процессы |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147452 |
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