Transformation ratio at wakefield excitation in dielectric resonator by sequence of rectangular electron bunches with linear growth of charge
Transformation ratio has been derived in the case of the wakefield excitation in a dielectric resonator by sequence of rectangular in longitudinal direction (the same charge along the bunch) electron bunches, whose charge is profiled according to linear dependence. Long periodic sequence of electron...
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| Date: | 2014 |
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Національний науковий центр «Харківський фізико-технічний інститут» НАН України
2014
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| Cite this: | Transformation ratio at wakefield excitation in dielectric resonator by sequence of rectangular electron bunches with linear growth of charge / V.I. Maslov, I.N. Onishchenko // Вопросы атомной науки и техники. — 2014. — № 3. — С. 95-98. — Бібліогр.: 7 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1859913102768734208 |
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| author | Maslov, V.I. Onishchenko, I.N. |
| author_facet | Maslov, V.I. Onishchenko, I.N. |
| citation_txt | Transformation ratio at wakefield excitation in dielectric resonator by sequence of rectangular electron bunches with linear growth of charge / V.I. Maslov, I.N. Onishchenko // Вопросы атомной науки и техники. — 2014. — № 3. — С. 95-98. — Бібліогр.: 7 назв. — англ. |
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| container_title | Вопросы атомной науки и техники |
| description | Transformation ratio has been derived in the case of the wakefield excitation in a dielectric resonator by sequence of rectangular in longitudinal direction (the same charge along the bunch) electron bunches, whose charge is profiled according to linear dependence. Long periodic sequence of electron bunches has been built to increase the number of accelerated electrons. In this sequence, the short trains of rectangular in longitudinal direction profiled bunches − drivers alternate by accelerated “high-current” bunches. This long sequence provides a large transformation ratio and the same for all bunches decelerating wakefield. The coupling of transformation ratio with reduction rate of field after witness and coupling of transformation ratio with witness charge and driver charge in this sequence have been derived.
Получен коэффициент трансформации в случае возбуждения кильватерного поля в диэлектрическом резонаторе последовательностью прямоугольных в продольном направлении (одинаковый заряд вдоль сгустка) электронных сгустков, заряд которых профилирован по линейному закону. Для увеличения числа ускоренных электронов построена длинная периодическая последовательность электронных сгустков. В этой последовательности короткие цепочки прямоугольных в продольном направлении профилированных сгустковдрайверов чередуются с ускоряемыми “сильноточными” сгустками. Эта длинная последовательность обеспечивает большой коэффициент трансформации и одинаковое для всех сгустков тормозящее кильватерное поле. Определена связь коэффициента трансформации с коэффициентом уменьшения поля после витнеса и связь коэффициента трансформации с зарядом витнеса и зарядом драйвера в этой последовательности.
Отримано коефіцієнт трансформації в разі збудження кільватерного поля в діелектричному резонаторі послідовністю прямокутних у поздовжньому напрямку (однаковий заряд уздовж згустка) електронних згустків, заряд яких профільований за лінійним законом. Для збільшення числа прискорених електронів побудована довга періодична послідовність електронних згустків. У цій нескінченній послідовності короткі ланцюжки прямокутних у поздовжньому напрямку профільованих згустків-драйверів чергуються з прискорюваними "сильнострумовими" згустками. Ця довга послідовність забезпечує великий коефіцієнт трансформації і однакове для усіх згустків кільватерне поле. Визначено зв'язок коефіцієнта трансформації з коефіцієнтом зменшення поля після вітнеса і зв'язок коефіцієнта трансформації із зарядом вітнеса і зарядом драйвера в цій послідовності.
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ISSN 1562-6016. ВАНТ. 2014. №3(91) 95
TRANSFORMATION RATIO AT WAKEFIELD EXCITATION IN
DIELECTRIC RESONATOR BY SEQUENCE OF RECTANGULAR
ELECTRON BUNCHES WITH LINEAR GROWTH OF CHARGE
V.I. Maslov, I.N. Onishchenko
National Science Center “Kharkov Institute of Physics and Technology”, Kharkov, Ukraine
Transformation ratio has been derived in the case of the wakefield excitation in a dielectric resonator by se-
quence of rectangular in longitudinal direction (the same charge along the bunch) electron bunches, whose charge
is profiled according to linear dependence. Long periodic sequence of electron bunches has been built to increase
the number of accelerated electrons. In this sequence, the short trains of rectangular in longitudinal direction pro-
filed bunches − drivers alternate by accelerated “high-current” bunches. This long sequence provides a large trans-
formation ratio and the same for all bunches decelerating wakefield. The coupling of transformation ratio with
reduction rate of field after witness and coupling of transformation ratio with witness charge and driver charge in
this sequence have been derived.
PACS: 29.17.+w; 41.75.Lx
INTRODUCTION
The maximum energy to which electrons can be ac-
celerated at some energy of the electron driver-bunches
of sequence, which excite wakefield in dielectric reso-
nator, is determined by the transformation ratio [1, 2].
The transformation ratio, defined as ratio 2
1
E
R=
E
of the
wakefield E2, which is excited in dielectric resonator
accelerator by sequence of the electron bunches, to the
field E1, in which an electron bunch is decelerated, is
considered with charge shaping of rectangular in longi-
tudinal direction (equal charge along bunch length)
bunches according to linear law along sequence [3, 4],
so that ratio of charges of bunches of sequence equals
1:3:5: … [3, 4]. The bunch length equals to half of
wave-length ∆ξb=λ/2. The choice of such length of
bunches is determined by the necessity to provide not
only large R but high gradient wakefield too excited by
sequence of N bunches. The porosity between bunches
is multiple of wave-length δξ=pλ, p=1, 2, ... . A next
bunch is injected in the resonator, when the back wave-
front of wakefield pulse, excited by previous bunches, is
on the injection boundary ( z 0= ). A next bunch leaves
the resonator, when the first wavefront of wakefield
pulse, excited by previous bunches, is on the end of the
resonator. Then wakefield pulses, excited by all con-
sistently injected bunches, are coherently added. In oth-
er words, coherent accumulation of wakefield is real-
ized. For all major bunches the decelerating wakefield
is small, identical, but inhomogeneous along their
length. Then one can provide a large transformation
ratio R. But several conditions should be satisfied for
this purpose. The wakefield and transformation ratio
have been derived after N-th bunch.
Also long periodical sequence, composed of accel-
erated bunches – witnesses and short trains of electron
bunches – drivers, exciting wakefield, has been derived.
Each bunch of these short trains is rectangular in longi-
tudinal direction (equal charge along bunch length) and
the charges of consecutive bunches grow. The connec-
tion of transformation ratio with the reduction rate of
the wakefield after witness and connection of the trans-
formation ratio with the witness charge and driver
charge in this periodical sequence have been derived
analytically.
1. TRANSFORMATION RATIO AT
WAKEFIELD EXCITATION IN
DIELECTRIC RESONATOR BY SEQUENCE
OF RECTANGULAR ELECTRON BUNCHES
WITH LINEAR GROWTH OF CHARGE
In this paper the transformation ratio R is investi-
gated theoretically. In many cases transformation ratio
can be concluded to the ratio of maximum accelerating
wakefield, experienced by witness bunch, to the maxi-
mum slowing down wakefield, experienced by driver
bunches. In [5] the expression for the wakefield, excit-
ed in a dielectric resonator by the sequence of electron
bunches, each of which is a infinitely thin ring, has
been derived. We consider injection of bunches with
length b∆ξ , equal to the half of wavelength b∆ξ = λ /2,
the charge of which is profiled according to linear law
along the sequence of bunches, in the dielectric resona-
tor of length L . The choice of such length of bunches
is determined by the necessity to provide not only large
R but high gradient excited wakefield too.
So the charge density of sequence of rectangular
bunches is distributed according to Fig. 1.
nλ
ξ
I(ξ)
V0
Fig. 1. The current distribution of sequence of
rectangular bunches, charge of which is shaped
b b0n (z, t)=n (2N-1), N 1≥ , ( )( )0 b0<V t-T N-1 -z<∆ξ ,
ISSN 1562-6016. ВАНТ. 2014. №3(91) 96
( ) ( ) ( )b
0
L
T N-1 <t<T N-1 +
V
+ ∆ξ
. (1)
Then the ratio of charges NQ of consecutive bunch-
es equals to known values 1:3:5 … .
A next (N+1)-th bunch is injected in the resonator,
when the back wavefront of wakefield pulse, excited by
previous N bunches, is on the injection boundary
( z 0= ) (Fig. 2).
Fig. 2. A schematic of the wakefield pulse,
excited by previous N bunches, when (N+1)-th bunch
is injected in the resonator
Fig. 3. An approximate view of the wakefield pulse,
excited by previous N bunches and excited by (N+1)-th
bunch, when (N+1)-th bunch is in the middle
of the resonator
An approximate view of the wakefield pulse, excited
by previous N bunches and excited by (N+1)-th bunch,
when (N+1)-th bunch is in the middle of the resonator,
is shown in Fig. 3. Excited longitudinal decelerating
wakefield zE is small and identical for all bunches but
non-uniform along them. Then one can provide a large
transformation ratio R .
A next (N+1)-th bunch leaves the resonator, when
the first wavefront of wakefield pulse, excited by (N+1)
bunches, is on the end of the resonator ( z L= ) (Fig. 4).
Fig. 4. A schematic of the wakefield pulse, excited
by (N+1) bunches, when (N+1)-th bunch leaves
the resonator
For achieving a large transformation ratio R sever-
al conditions should be satisfied. Namely, we choose
the length of the resonator L , the group velocity gV ,
the bunch repetition frequency mω and the wave fre-
quency, which satisfy the following equalities
r
g m 0
2L 2 qT
V
π π
= = =
ω ω
, q 1,3,...= , g r
0
V 4L
V q
=
λ
. (2)
Then for the selected length of the resonator and q ,
equal L 4=
λ
and q 20= group velocity should be equal
g
0
V
0.8
V
= . 0V is the beam velocity. For L 5=
λ
and
q 32= group velocity should be equal g
0
V
0.625
V
= .
Thus, all the next bunches after the first one begin
to be injected in the resonator (on the boundary z 0= ),
when the trailing edge of the wakefield pulse, created
by the previous bunches, is located at the point z 0= .
At this moment the leading edge of the wakefield pulse,
located at the distance from the injection boundary,
equal to g
0
V
L 1
V
−
+ b∆ξ (see Fig. 2), is located at the
distance g
0
V
L
V
- b∆ξ from the end of the resonator
( z L= ).
Again injected bunch reaches the end of the resona-
tor together with the leading edge of the wakefield
pulse, created by the previous bunches. Then wakefield
pulses, excited by all consistently injected bunches, are
coherently added. In other words, coherent accumula-
tion of wakefield is realized.
At wakefield pulse excitation by the 1-st bunch the
wakefield in the whole resonator (one can derive, using
[2, 5]) within the time r b
0
L
0<t<
V
+ ∆ξ
is proportional to
||Z (z, t) = [ ] ( )0 0 b 0
1 (V t-z)- (V t- -z) sin k V t-z
k
θ θ ∆ξ
+
+ ( )0 b g 0
2 (V t- -z)- (V t-z) sin k V t-z
k
θ ∆ξ θ
. (3)
The 1-st term is the field inside of the 1-st bunch,
the 2nd term is the wakefield after the 1st bunch. Thus,
after 1-st bunch TE=2.
Inside the 2-nd bunch ( )0 b0 =V t-T -z< ξ < ∆ξ the
wakefield on the times r b
0
L
T<t<T+
V
+ ∆ξ is propor-
tional to
||Z (z, t)= (4)
( ) ( ) ( )( )-1
0 0 b 0(V t-T -z)- (V t-T - -z) k sin k V t-T -z θ θ ∆ξ .
The decelerating field into the 2-nd bunch equals to
decelerating field into the 1-st bunch.
After the 2-nd bunch ( )0 b=V t-T -zξ > ∆ξ on the
times ( )r b 0T<t<T+ L V+ ∆ξ it excites wakefield,
which is proportional to
Lr(1-Vg/V0)
z
Ez0
Vg
Lr
V0
z
Ez0
Vg
Lr
V0
Vg
ISSN 1562-6016. ВАНТ. 2014. №3(91) 97
( ) ( )
( )( )
|| 0 b g
-1
0
Z (z, t)= (V t-T - -z)- (V t-T -z)
4k sin k V t-T -z .
θ ∆ξ θ ×
×
(5)
Thus, after 2-nd bunch TE=4.
At wakefield pulse excitation by the N -th bunch
the wakefield in whole resonator within the time
( ) ( ) ( )b
0
L+
T N-1 t T N-1 +
V
∆ξ
≤ ≤ ,
g
2LT=
V
, is propor-
tional to
||Z (z, t) =
[ ] ( )0 0 b
1 (V (t-T(N-1))-z)- (V (t-T(N-1))- -z) sin k
k
θ θ ∆ξ ξ
( )
0 b g(V (t-T(N-1))- -z)- (V (t-T(N-1))-z)
2N sin k
k
θ ∆ξ θ ×
× ξ +
( ) ( )
g
g r 0
0
V
(V (t-T(N-1))+L 1- -z)- (V (t-T(N-1))-z) (6)
V
2 N 1 sin k .
k
+ θ θ
× − ξ
Here 0V t-zξ ≡ , the 1-st term is the decelerating
field inside the N-th bunch, the second term is the
wakefield after the N-th bunch, the 3-rd term is the
field before the N-th bunch, excited by (N-1) bunches.
Thus, after the N-th bunch the transformation ratio is
equal to TE=2N, similar to [3, 6, 7]. The decelerating
field inside the N-th bunch is equal to the decelerating
field inside the 1-st bunch.
2. LONG SEQUENCE OF SHORT TRAINS
OF PROFILED DRIVERS, INTERCHANGED
BY “HIGH-CURRENT” WITNESSES
For the increase of number of accelerated electrons
we consider the case, when after N profiled bunches the
sequence continues as periodical long sequence of in-
terchanging short (K bunches-drives) trains of the pro-
filed drivers and separate "high-current" witnesses
(Fig. 5).
Fig. 5. The current distribution of infinite periodical
sequence of short trains of profiled bunches-drives
and of witnesses
Then after every K-th bunch-driver a "high-current"
witness follows, so that it can take away considerable
energy. Thus after witness the amplitude of the wake-
field decreases from Ez0=NE11 to χEz0=(N-K)E11,
(N-K) = <1
N
χ , K=N(1-χ). Here E11 is the wakefield
after the 1-st bunch. In this case the transformation
ratio, at the use of the averaged over accelerating time
of accelerating field, equals
11 11 11
sl sl
[NE +(N-K)E ] EKR* =(N- ) .
2E 2 E
≈ (7)
We use that the transformation ratio R=2N known
at K=0. Then 11
sl
E
=2
E
and we obtain the connection of
R* with χ and with number of bunches N of the se-
quence, after which the periodic quasi-stationary as-
ymptotic wakefield is set,
R*≈N(1+χ). (8)
Here Esl is the maximum decelerating wakefield in
the region of being of bunch-drives.
We specify that the words "high-current" witness
mean. From balance of energies one can derive
qWR*=qW(2N-K)=(2/π)∑i=1
K qdr i=(2/π)q1K(2N-K). (9)
Here qdr i is the charge of i-th driver bunch of the se-
quence. Then the ratio of charge of witness bunch qW
to charge of first driver bunch of sequence q1 equals
qW/q1=(2/π)K. (10)
One can see that qW≥q1, however for qK=(2K-1)q1,
qW/qK=1/π(1-1/2K),
and for qN=(2N-1)q1,
qW/qN=K/π(N-1/2).
The maximal ratio qW/qN equals qW/qN=1/π(1-
1/2N) at K=N, i.e. at χ=0. But
qW/qN≥1/π(N-1/2),
because K≥1. Thus R*=N for infinite sequence. From
here one can derive coupling of decrease rate χ of
wakefield (from Ez0 to χEz0) after witness bunch with
ratio of witness charge to driver charge qW/qdr
qW/q1=(2/π)N(1-χ).
The transformation ratio equals to
R*=2N-(π/2)(qW/q1). (11)
The maximal transformation ratio equals to
R*=2N-1.
CONCLUSIONS
So it has been shown that in the case of wakefield
excitation in dielectric resonator by sequence of
rectangular electron bunches, the charge of which is
shaped according to linear law, the transformation ratio
can achieve large value.
For the increase of number of accelerated electrons
the long periodical sequence of electron bunches has
been derived. In this infinite periodical sequence the
short trains of shaped bunches-drivers are interchanged
by "high-current" witnesses. This long periodical se-
quence provides the large transformation ratio and
identical decelerating wakefield for all bunches-drivers.
The coupling of transformation ratio with the reduction
rate of the wakefield after witness and coupling of the
transformation ratio with the witness charge and driver
charge in this long periodical sequence have been de-
rived.
ISSN 1562-6016. ВАНТ. 2014. №3(91) 98
ACKNOWLEDGMENTS
This study is supported by Global Initiatives for
Proliferation Prevention (GIPP) program, project ANL-
T2-247-UA (STCU Agreement P522).
REFERENCES
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field Acceleration // PRL. 2007, v. 98, p. 144801.
2. B. Jiang, C. Jing, P. Schoessow, J. Power, W. Gai.
Formation of a novel shaped bunch to enhance
transformer ratio in collinear wakefield accelerators
// Phys. Rev. Spec. Topics – Accelerators and
Beams. 2012, v. 15, p. 011301.
3. E. Kallos, T. Katsouleas, P. Muggli, et al. Plasma
wakefield acceleration utilizing multiple electron
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New Mexico, USA. 2007, p. 3070-3072.
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G.V. Sotnikov. Acceleration of Charged Particles by
Wakefield in Dielectric Resonator with Cannal for
Driver-Bunch // Pis’ma v JTPh. 2003, v. 29, №14,
p. 39-45 (in Russian).
6. K. Nakajima. Plasma wake-field accelerator driven
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tors. 1990, v. 32, p. 209-214.
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magnetic wave generation with high transformation
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Article received 03.12.2013
КОЭФФИЦИЕНТ ТРАНСФОРМАЦИИ ПРИ ВОЗБУЖДЕНИИ КИЛЬВАТЕРНОГО ПОЛЯ
В ДИЭЛЕКТРИЧЕСКОМ РЕЗОНАТОРЕ ПОСЛЕДОВАТЕЛЬНОСТЬЮ ПРЯМОУГОЛЬНЫХ
ЭЛЕКТРОННЫХ СГУСТКОВ С ЛИНЕЙНО НАРАСТАЮЩИМ ЗАРЯДОМ
В.И. Маслов, И.Н. Онищенко
Получен коэффициент трансформации в случае возбуждения кильватерного поля в диэлектрическом ре-
зонаторе последовательностью прямоугольных в продольном направлении (одинаковый заряд вдоль сгустка)
электронных сгустков, заряд которых профилирован по линейному закону. Для увеличения числа ускорен-
ных электронов построена длинная периодическая последовательность электронных сгустков. В этой после-
довательности короткие цепочки прямоугольных в продольном направлении профилированных сгустков-
драйверов чередуются с ускоряемыми “сильноточными” сгустками. Эта длинная последовательность обеспе-
чивает большой коэффициент трансформации и одинаковое для всех сгустков тормозящее кильватерное по-
ле. Определена связь коэффициента трансформации с коэффициентом уменьшения поля после витнеса и
связь коэффициента трансформации с зарядом витнеса и зарядом драйвера в этой последовательности.
КОЕФІЦІЄНТ ТРАНСФОРМАЦІЇ ПРИ ЗБУДЖЕННІ КІЛЬВАТЕРНОГО ПОЛЯ
В ДІЕЛЕКТРИЧНОМУ РЕЗОНАТОРІ ПОСЛІДОВНІСТЮ ПРЯМОКУТНИХ ЕЛЕКТРОННИХ
ЗГУСТКІВ З ЛІНІЙНО ЗРОСТАЮЧИМ ЗАРЯДОМ
В.І. Маслов, І.М. Онищенко
Отримано коефіцієнт трансформації в разі збудження кільватерного поля в діелектричному резонаторі
послідовністю прямокутних у поздовжньому напрямку (однаковий заряд уздовж згустка) електронних згуст-
ків, заряд яких профільований за лінійним законом. Для збільшення числа прискорених електронів побудо-
вана довга періодична послідовність електронних згустків. У цій нескінченній послідовності короткі ланцю-
жки прямокутних у поздовжньому напрямку профільованих згустків-драйверів чергуються з прискорювани-
ми "сильнострумовими" згустками. Ця довга послідовність забезпечує великий коефіцієнт трансформації і
однакове для усіх згустків кільватерне поле. Визначено зв'язок коефіцієнта трансформації з коефіцієнтом
зменшення поля після вітнеса і зв'язок коефіцієнта трансформації із зарядом вітнеса і зарядом драйвера в
цій послідовності.
INTRODUCTION
1. TRANSFORMATION RATIO AT WAKEFIELD EXCITATION IN DIELECTRIC RESONATOR BY SEQUENCE OF RECTANGULAR ELECTRON BUNCHES WITH LINEAR GROWTH OF CHARGE
2. LONG SEQUENCE OF SHORT TRAINS OF PROFILED DRIVERS, INTERCHANGED BY “HIGH-CURRENT” WITNESSES
CONCLUSIONS
|
| id | nasplib_isofts_kiev_ua-123456789-80138 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1562-6016 |
| language | English |
| last_indexed | 2025-12-07T16:03:08Z |
| publishDate | 2014 |
| publisher | Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
| record_format | dspace |
| spelling | Maslov, V.I. Onishchenko, I.N. 2015-04-12T12:58:41Z 2015-04-12T12:58:41Z 2014 Transformation ratio at wakefield excitation in dielectric resonator by sequence of rectangular electron bunches with linear growth of charge / V.I. Maslov, I.N. Onishchenko // Вопросы атомной науки и техники. — 2014. — № 3. — С. 95-98. — Бібліогр.: 7 назв. — англ. 1562-6016 PACS: 29.17.+w; 41.75.Lx https://nasplib.isofts.kiev.ua/handle/123456789/80138 Transformation ratio has been derived in the case of the wakefield excitation in a dielectric resonator by sequence of rectangular in longitudinal direction (the same charge along the bunch) electron bunches, whose charge is profiled according to linear dependence. Long periodic sequence of electron bunches has been built to increase the number of accelerated electrons. In this sequence, the short trains of rectangular in longitudinal direction profiled bunches − drivers alternate by accelerated “high-current” bunches. This long sequence provides a large transformation ratio and the same for all bunches decelerating wakefield. The coupling of transformation ratio with reduction rate of field after witness and coupling of transformation ratio with witness charge and driver charge in this sequence have been derived. Получен коэффициент трансформации в случае возбуждения кильватерного поля в диэлектрическом резонаторе последовательностью прямоугольных в продольном направлении (одинаковый заряд вдоль сгустка) электронных сгустков, заряд которых профилирован по линейному закону. Для увеличения числа ускоренных электронов построена длинная периодическая последовательность электронных сгустков. В этой последовательности короткие цепочки прямоугольных в продольном направлении профилированных сгустковдрайверов чередуются с ускоряемыми “сильноточными” сгустками. Эта длинная последовательность обеспечивает большой коэффициент трансформации и одинаковое для всех сгустков тормозящее кильватерное поле. Определена связь коэффициента трансформации с коэффициентом уменьшения поля после витнеса и связь коэффициента трансформации с зарядом витнеса и зарядом драйвера в этой последовательности. Отримано коефіцієнт трансформації в разі збудження кільватерного поля в діелектричному резонаторі послідовністю прямокутних у поздовжньому напрямку (однаковий заряд уздовж згустка) електронних згустків, заряд яких профільований за лінійним законом. Для збільшення числа прискорених електронів побудована довга періодична послідовність електронних згустків. У цій нескінченній послідовності короткі ланцюжки прямокутних у поздовжньому напрямку профільованих згустків-драйверів чергуються з прискорюваними "сильнострумовими" згустками. Ця довга послідовність забезпечує великий коефіцієнт трансформації і однакове для усіх згустків кільватерне поле. Визначено зв'язок коефіцієнта трансформації з коефіцієнтом зменшення поля після вітнеса і зв'язок коефіцієнта трансформації із зарядом вітнеса і зарядом драйвера в цій послідовності. This study is supported by Global Initiatives for Proliferation Prevention (GIPP) program, project ANLT2-247-UA (STCU Agreement P522). en Національний науковий центр «Харківський фізико-технічний інститут» НАН України Вопросы атомной науки и техники Новые и нестандартные ускорительные технологии Transformation ratio at wakefield excitation in dielectric resonator by sequence of rectangular electron bunches with linear growth of charge Коэффициент трансформации при возбуждении кильватерного поля в диэлектрическом резонаторе последовательностью прямоугольных электронных сгустков с линейно нарастающим зарядом Коефіцієнт трансформації при збудженні кільватерного поля в діелектричному резонаторі послідовністю прямокутних електронних згустків з лінійно зростаючим зарядом Article published earlier |
| spellingShingle | Transformation ratio at wakefield excitation in dielectric resonator by sequence of rectangular electron bunches with linear growth of charge Maslov, V.I. Onishchenko, I.N. Новые и нестандартные ускорительные технологии |
| title | Transformation ratio at wakefield excitation in dielectric resonator by sequence of rectangular electron bunches with linear growth of charge |
| title_alt | Коэффициент трансформации при возбуждении кильватерного поля в диэлектрическом резонаторе последовательностью прямоугольных электронных сгустков с линейно нарастающим зарядом Коефіцієнт трансформації при збудженні кільватерного поля в діелектричному резонаторі послідовністю прямокутних електронних згустків з лінійно зростаючим зарядом |
| title_full | Transformation ratio at wakefield excitation in dielectric resonator by sequence of rectangular electron bunches with linear growth of charge |
| title_fullStr | Transformation ratio at wakefield excitation in dielectric resonator by sequence of rectangular electron bunches with linear growth of charge |
| title_full_unstemmed | Transformation ratio at wakefield excitation in dielectric resonator by sequence of rectangular electron bunches with linear growth of charge |
| title_short | Transformation ratio at wakefield excitation in dielectric resonator by sequence of rectangular electron bunches with linear growth of charge |
| title_sort | transformation ratio at wakefield excitation in dielectric resonator by sequence of rectangular electron bunches with linear growth of charge |
| topic | Новые и нестандартные ускорительные технологии |
| topic_facet | Новые и нестандартные ускорительные технологии |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/80138 |
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