Plasma lens for electron and positron beams
Focusing of both electron and positron bunches in electron-positron collider is necessary. When long electron/positron bunch is injected into the plasma, the focusing force is not uniform but oscillated. It is shown that a long positron bunch after focusing is destroyed faster than an electron bunch...
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| Cite this: | Plasma lens for electron and positron beams / D.S. Bondar, V.I. Maslov, I.N. Onishchenko, R.T. Ovsiannikov // Problems of Atomic Science and Technology. — 2021. — № 4. — С. 70-73. — Бібліогр.: 38 назв. — англ. |
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Bondar, D.S. Maslov, V.I. Onishchenko, I.N. Ovsiannikov, R.T. 2023-12-03T15:59:47Z 2023-12-03T15:59:47Z 2021 Plasma lens for electron and positron beams / D.S. Bondar, V.I. Maslov, I.N. Onishchenko, R.T. Ovsiannikov // Problems of Atomic Science and Technology. — 2021. — № 4. — С. 70-73. — Бібліогр.: 38 назв. — англ. 1562-6016 PACS: 29.17.+W; 41.75.LX DOI: https://doi.org/10.46813/2021-134-070 https://nasplib.isofts.kiev.ua/handle/123456789/195259 Focusing of both electron and positron bunches in electron-positron collider is necessary. When long electron/positron bunch is injected into the plasma, the focusing force is not uniform but oscillated. It is shown that a long positron bunch after focusing is destroyed faster than an electron bunch due to betatron and plasma oscillations. Необхідне фокусування як електронних, так і позитронних згустків в електрон-позитронних колайдерах. При інжекції довгого згустка електронів/позитронів у плазму утворювана фокусуюча сила не однорідна, а з деякими осциляціями. Показано, що довгий позитронний згусток після фокусування руйнується швидше, ніж електронний згусток за рахунок бетатронних коливань і плазмових осциляцій. Необходима фокусировка как электронных, так и позитронных сгустков в электрон-позитронных коллайдерах. При инжекции длинного сгустка электронов/позитронов в плазму образующаяся фокусирующая сила не однородна, а с некоторыми осцилляциями. Показано, что длинный позитронный сгусток после фокусировки разрушается быстрее, чем электронный сгусток за счет бетатронных колебаний и плазменных осцилляций. The study is supported by the National Research Foundation of Ukraine under the program “Leading and Young Scientists Research Support” (project # 2020.02/0299). en Національний науковий центр «Харківський фізико-технічний інститут» НАН України Вопросы атомной науки и техники New methods of charged particles acceleration Plasma lens for electron and positron beams Плазмова лінза для електронних і позитронних пучків Плазменная линза для электронного и позитронного пучков Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| title |
Plasma lens for electron and positron beams |
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Plasma lens for electron and positron beams Bondar, D.S. Maslov, V.I. Onishchenko, I.N. Ovsiannikov, R.T. New methods of charged particles acceleration |
| title_short |
Plasma lens for electron and positron beams |
| title_full |
Plasma lens for electron and positron beams |
| title_fullStr |
Plasma lens for electron and positron beams |
| title_full_unstemmed |
Plasma lens for electron and positron beams |
| title_sort |
plasma lens for electron and positron beams |
| author |
Bondar, D.S. Maslov, V.I. Onishchenko, I.N. Ovsiannikov, R.T. |
| author_facet |
Bondar, D.S. Maslov, V.I. Onishchenko, I.N. Ovsiannikov, R.T. |
| topic |
New methods of charged particles acceleration |
| topic_facet |
New methods of charged particles acceleration |
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2021 |
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English |
| container_title |
Вопросы атомной науки и техники |
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Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
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| title_alt |
Плазмова лінза для електронних і позитронних пучків Плазменная линза для электронного и позитронного пучков |
| description |
Focusing of both electron and positron bunches in electron-positron collider is necessary. When long electron/positron bunch is injected into the plasma, the focusing force is not uniform but oscillated. It is shown that a long positron bunch after focusing is destroyed faster than an electron bunch due to betatron and plasma oscillations.
Необхідне фокусування як електронних, так і позитронних згустків в електрон-позитронних колайдерах. При інжекції довгого згустка електронів/позитронів у плазму утворювана фокусуюча сила не однорідна, а з деякими осциляціями. Показано, що довгий позитронний згусток після фокусування руйнується швидше, ніж електронний згусток за рахунок бетатронних коливань і плазмових осциляцій.
Необходима фокусировка как электронных, так и позитронных сгустков в электрон-позитронных коллайдерах. При инжекции длинного сгустка электронов/позитронов в плазму образующаяся фокусирующая сила не однородна, а с некоторыми осцилляциями. Показано, что длинный позитронный сгусток после фокусировки разрушается быстрее, чем электронный сгусток за счет бетатронных колебаний и плазменных осцилляций.
|
| issn |
1562-6016 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/195259 |
| citation_txt |
Plasma lens for electron and positron beams / D.S. Bondar, V.I. Maslov, I.N. Onishchenko, R.T. Ovsiannikov // Problems of Atomic Science and Technology. — 2021. — № 4. — С. 70-73. — Бібліогр.: 38 назв. — англ. |
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2025-11-25T22:15:35Z |
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2025-11-25T22:15:35Z |
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| fulltext |
ISSN 1562-6016. ВАНТ. 2021. № 4(134) 70
https://doi.org/10.46813/2021-134-070
PLASMA LENS FOR ELECTRON AND POSITRON BEAMS
D.S. Bondar1,2, V.I. Maslov1,2, I.N. Onishchenko1, R.T. Ovsiannikov2
1National Science Center “Kharkov Institute of Physics and Technology”, Kharkiv, Ukraine;
2V.N. Karazin Kharkiv National University, Kharkiv, Ukraine
E-mail: vmaslov@kipt.kharkov.ua
Focusing of both electron and positron bunches in electron-positron collider is necessary. When long elec-
tron/positron bunch is injected into the plasma, the focusing force is not uniform but oscillated. It is shown that a
long positron bunch after focusing is destroyed faster than an electron bunch due to betatron and plasma oscillations.
PACS: 29.17.+W; 41.75.LX
INTRODUCTION
Plasma wakefield accelerators provide an extremely
high accelerating gradient [1 - 13], long sequence focus-
ing and large transformer ratio obtaining [14 - 23], reso-
nant wakefield excitation by a nonresonant sequence of
electron bunches [24, 25]. Focusing of relativistic elec-
tron bunches by wakefield, excited in the plasma, is
important previously studied effect [26 - 37]. Mecha-
nism of focusing in the plasma, by which all bunches of
a sequence are focused identically and uniformly, is
proposed and investigated by numerical simulation in
[14 - 16].
The plasma lens for long relativistic electron and
positron bunch focusing is studied in this paper by nu-
merical simulation using code lcode [38]. Unbounded
non-magnetized homogeneous plasma is considered.
The Gaussian ( 2cos A ) in longitudinal direction bunch
(current profile) is considered.
The purpose of this paper is to show by numerical
simulation that one can achieve conditions of focusing
of long relativistic electron and positron bunch. In this
paper the authors present the results of numerical simu-
lation on the focusing force distribution for long elec-
tron and positron bunches.
We use the cylindrical coordinate system ( , )r z . The
time is normalized to 1
pe , all the distances and coor-
dinate – to 1
pec , the density to the unperturbed
plasma electron density, the beam current bI – to
3 / 17 kAmc e , the fields – to /pemc e , where m is
the electron mass, e is the electron charge, c is the
speed of light, pe is the plasma electron frequency. is
the plasma wavelength. The simulation time is 160.1 pe .
5b for all bunches. The length of all bunches is
8bL . These normalisations are used also in the Fig-
ures. The arrow on all Figures indicates the direction of
movement of the bunches.
We present the numerical simulation data on plasma
wakefield excitation by a relativistic electron and posi-
tron bunch, obtained with the 2.5D quasi-static code
lcode. It treats the plasma as a cold electron fluid (mag-
netohydrodynamics model), and the bunches as ensem-
bles of macro-particles.
Spatial step equals 10.1 pec . Time step for plasma
electrons equals 10.1 pe . Time step for beam electrons
equals 10.1 b pe . Spatial dependences in selected
points of observation are presented.
RESULTS OF NUMERICAL SIMULATION
At first, the excited field distribution, formed by
long Gaussian electron bunch in the plasma (Fig. 1) is
considered.
Fig. 1. Spatial distribution of Gaussian bunch electron
density ,bn r (minus indicates to the electron
bunches) at 5b , 2 25z , 0.1r , maximum initial
electron bunch current 30.6 10bI
In this case, a rather smooth electrons ,en r
(Fig. 2) density pit is formed in the plasma in the Gaus-
sian bunch region.
Fig. 2. Spatial distribution of plasma electron density
,en r (corresponds to Fig. 1)
In addition, smooth focusing force is observed in the
region of the bunch (Fig. 3).
First (approximately, during the first half of the
simulation time), the focusing of the electron bunch is
observed (Figs. 4-6). The centers of the bunches are
subjected to the strongest focusing (see Fig. 5).
t1
t1
ISSN 1562-6016. ВАНТ. 2021. № 4(134) 71
Fig. 3. Longitudinal distribution of focusing force
eF (corresponds to Figs. 1, 2)
Fig. 4. Spatial distribution of focused Gaussian bunch
electron density ,bn r
Fig. 5. Longitudinal distribution of bunch electron
density ,b bn r r : before focusing (a); after focusing (b)
a
b
Fig. 6. Longitudinal distribution of bunch electron den-
sity , 0bn r : before focusing (a); after focusing (b)
Then (after approximately 1 130 40pe pet ) beta-
tron oscillations develop. Since the frequency of beta-
tron oscillations for electrons of the bunch located at
different radii is different, the bunch stratifies and the
electrons of the bunch peripheral along the radius are
defocused (Fig. 7). In general, the destruction of the
bunch can be observed along the entire diameter.
Fig. 7. Spatial distribution of Gaussian bunch
electron density ,bn r due to betatron
and plasma oscillations
Fig. 8. Spatial distribution of Gaussian bunch
positron density ,bn r
From comparison Figs. 7 and 8 it can be seen that
for the same time the positron bunch is destroyed more
strongly than electron.
From the beginning, oscillations are observed in the
second part (after 30 / pec ) of the plasma electron
density pit (Fig. 9).
Fig. 9. On-axis longitudinal distribution of plasma elec-
tron density , 0en r (corresponds to Figs. 1, 2)
Then oscillations are excited in the plasma electron
density (Fig. 10).
The development of oscillations can be seen on
rF graph (Fig. 11).
As a result, the bunch is modulated (see Fig. 12).
a
b
ISSN 1562-6016. ВАНТ. 2021. № 4(134) 72
Fig. 10. Spatial distribution of plasma
electron density ,en r
Fig. 11. Longitudinal distribution
of focusing force rF
Fig. 12. Longitudinal distribution of bunch electron
density ,b bn r r at large (end of simulation) times
In general, the destruction of the bunch is visible
along the entire diameter. Thus, the inhomogeneity of
the focusing force and the modulation of relativistic
bunches of electrons and positrons during their propaga-
tion in the plasma due to betatron and plasma oscilla-
tions are shown. In addition, it has been shown that
positron bunch is destroyed more strongly and faster
than electron bunch.
CONCLUSIONS
A numerical simulation of the focusing of electron
and positron bunches by a plasma lens is carried out.
When a long electron/positron bunch is injected into the
plasma, the resulting focusing force is not uniform, but
oscillates. It was shown that a long bunch of positrons
after focusing is destroyed faster than an electron bunch
due to betatron and plasma oscillations.
ACKNOWLEDGEMENTS
The study is supported by the National Research
Foundation of Ukraine under the program “Leading and
Young Scientists Research Support” (project #
2020.02/0299).
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Article received 16.06.2021
ПЛАЗМЕННАЯ ЛИНЗА ДЛЯ ЭЛЕКТРОННОГО И ПОЗИТРОННОГО ПУЧКОВ
Д.С. Бондарь, В.И. Маслов, И.Н. Онищенко, Р.Т. Овсянников
Необходима фокусировка как электронных, так и позитронных сгустков в электрон-позитронных кол-
лайдерах. При инжекции длинного сгустка электронов/позитронов в плазму образующаяся фокусирующая
сила не однородна, а с некоторыми осцилляциями. Показано, что длинный позитронный сгусток после фо-
кусировки разрушается быстрее, чем электронный сгусток за счет бетатронных колебаний и плазменных
осцилляций.
ПЛАЗМОВА ЛІНЗА ДЛЯ ЕЛЕКТРОННОГО І ПОЗИТРОННОГО ПУЧКІВ
Д.С. Бондарь, В.І. Маслов, І.М. Онiщенко, Р.Т. Овсянніков
Необхідне фокусування як електронних, так і позитронних згустків в електрон-позитронних колайдерах.
При інжекції довгого згустка електронів/позитронів у плазму утворювана фокусуюча сила не однорідна, а з
деякими осциляціями. Показано, що довгий позитронний згусток після фокусування руйнується швидше,
ніж електронний згусток за рахунок бетатронних коливань і плазмових осциляцій.
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