Computer modelling new generation plasma optical devices (new results)
We present new results of computer modeling two new generation plasma optical devices based on the electrostatic plasma lens configuration that open up perspective possibility for high-tech effective applications. There describe development numerical model computer simulation results of a wide-apert...
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| Date: | 2015 |
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Національний науковий центр «Харківський фізико-технічний інститут» НАН України
2015
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| Cite this: | Computer modelling new generation plasma optical devices (new results) / I. Litovko, A. Goncharov, A. Dobrovolsky, L. Najko, I. Najko, V. Gushenets, E. Oks // Вопросы атомной науки и техники. — 2015. — № 1. — С. 209-212. — Бібліогр.: 6 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1860019057365876736 |
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| author | Litovko, I. Goncharov, A. Dobrovolsky, A. Najko, L. Najko, I. Gushenets, V. Oks, E. |
| author_facet | Litovko, I. Goncharov, A. Dobrovolsky, A. Najko, L. Najko, I. Gushenets, V. Oks, E. |
| citation_txt | Computer modelling new generation plasma optical devices (new results) / I. Litovko, A. Goncharov, A. Dobrovolsky, L. Najko, I. Najko, V. Gushenets, E. Oks // Вопросы атомной науки и техники. — 2015. — № 1. — С. 209-212. — Бібліогр.: 6 назв. — англ. |
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| description | We present new results of computer modeling two new generation plasma optical devices based on the electrostatic plasma lens configuration that open up perspective possibility for high-tech effective applications. There describe development numerical model computer simulation results of a wide-aperture non-relativistic intense electron beam propagating through an axially symmetric plasma optical lens with a non -compensated positive space charge and the results of some theoretical calculations. The described also the original approach to use plasma accelerators with closed electron drift and open walls for generating effective lens with positive space charge.
Представлены результаты численного моделирования двух плазмооптических устройств нового поколения, представляющих интерес для современных технологий. Описаны аксиально-симметрические, цилиндрические, плазмооптические устройства, в физической и конструктивной основе которых лежит электростатическая плазменная линза. Приведены результаты дальнейшего развития численной модели динамики нерелятивистского широкоапертурного интенсивного пучка электронов в облаке положительного пространственного заряда. Впервые описана одномерная модель оригинального плазменного ускорителя с открытыми стенками для использования вкачестве эффективной плазменой линзы спозитивным пространственным зарядом.
Представлено результати чисельного моделювання двох плазмово-оптичних приладів нового покоління, які представляють інтерес для сучасних технологій. Описано аксіально-симетричні, циліндричні, плазмовооптичні пристрої, в фізичної і конструктивної основі яких лежить електростатична плазмова лінза. Наведено результати подальшого розвитку чисельної моделі динаміки пучка електронів у хмарі позитивного просторового заряду, створеного циліндричним прискорювачем з анодним шаром та магнітною ізоляцією електронів. Вперше описана одновимірна модель оригінального плазмового прискорювача з відкритими стінками для використання в якості ефективної плазмової лінзи з позитивним просторовим зарядом.
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| first_indexed | 2025-12-07T16:46:09Z |
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ISSN 1562-6016. ВАНТ. 2015. №1(95)
PROBLEMS OF ATOMIC SCIENCE AND TECHNOLOGY. 2015, № 1. Series: Plasma Physics (21), p. 209-212. 209
COMPUTER MODELLING NEW GENERATION PLASMA OPTICAL
DEVICES (NEW RESULTS)
I. Litovko
1
, A. Goncharov
2
, A. Dobrovolsky
2
, L. Najko
2
, I. Najko
2
, V. Gushenets
3
, E. Oks
3
1
Institute for Nuclear Research National Academy of Science of Ukraine, Kiev, Ukraine;
2
Institute of Physics National Academy of Science of Ukraine, Kiev, Ukraine;
3
High-Current Electronics Institute of SB RAN, Tomsk, Russia
E-mail: ilitovko@kinr.kiev.ua
We present new results of computer modeling two new generation plasma optical devices based on the
electrostatic plasma lens configuration that open up perspective possibility for high-tech effective applications.
There describe development numerical model computer simulation results of a wide-aperture non-relativistic intense
electron beam propagating through an axially symmetric plasma optical lens with a non -compensated positive
space charge and the results of some theoretical calculations. The described also the original approach to use plasma
accelerators with closed electron drift and open walls for generating effective lens with positive space charge.
PACS: 52.65.-y
INTRODUCTION
The crossed electric and magnetic fields inherent to
the cylindrical electrostatic plasma lens (PL)
configuration provide the attractive method for
establishing a stable plasma discharge at low pressure
[1]. One particularly interesting result of this
background work was observation of the essential
positive potential at the floating substrate. This
suggested to us the possibility of an electrostatic PL use
for focusing and manipulating high-current beams of
negatively charged particles (electrons and negative
ions) that based on the use of the dynamical cloud of
positive space charge in the conditions of electrons
magnetic insulation. An attractive possibilities of
perspective application dynamical positive space
charged plasma lens with magnetic electron insulation
and non-magnetized ions for focusing and manipulating
wide-aperture high-current negatively charged particles
beams has been shown in preliminary work [2, 3]. The
calculated potential distribution in cloud has one-
humped form and reached 580 V in maximum and
electric field strength was up to 600V/cm that is
sufficiently for focusing intensive negative charged
particle beams [2].
This paper describes the development numerical
model computer simulation results of a wide-aperture
non-relativistic electron beam that transported through
an axially symmetric device with a positive space
charge plasma lens. We describe also the original
approach to use plasma accelerators with closed
electron drift and open walls for creation cost effective
low maintenance plasma lens with positive space charge
and possible application for low-cost low energy rocket
engine too.
Thus we present here two new generation plasma
optical devices that open up novel attractive possibility
for effective high-tech practical applications.
1. POSITIVE SPACE CHARGE PLASMA
LENS
A new plasma-optical tool for negative charged
particle beams focusing and manipulating with a
dynamic cloud of non-magnetized free positive ions and
magnetically isolated electrons produced by a toroidal
plasma source like an anode layer accelerator have
been proposed [2]. The computer modelings were
performed by means of the PIC-method. Firstly the
positive space charge cloud formation was modeling.
Under simulations we take into account dynamic of Ar+
ions only, because of magnetic insulation of electrons.
Every time interval Δt (~ 4·10
-8
s) N new particles of
charge qi and mass Mi come to the considered volume.
The magnitudes of N, Δt, qi satisfy the relation:
Nqi/∆t=jiS. They move from cylinder surface to the
system axis with the narrow angular distribution.
Note that the distributions above are inherent to this
kind of plasma accelerators with anode layer. The
particles move in magnetic field that decreases
drastically towards to system axe. At the first step, the
motion equation for the particles in space charge fields
was solved (time step comprised 10
-11
s). After the time
of Δt, by collecting of all particles with the use the
„„cloud in cell‟‟ method [4] the densities distributions of
argon ions were calculated. Electric field was calculated
by the distribution of total space charge. After that in
corrected electric field the calculation of particles
motion were resumed, and introducing the new portion
of ions was performed. Equation of motion was solved
both for “new” particles and for those that still left in
the volume. The calculation continued until reaching a
self-consistent solution. The calculation time comprised
10
-5
s. For that time the stationary state of the lens
operation was achieved. This approach was used for
dynamic large-area (r=3 cm) electron beam with energy
in range (5…20) keV and current from 0.1 to 100 A in
positive space charge cloud was examined. For
simulation high-current electron beam transport was
taking into account the space charge of the particles and
the magnetic self-field that may affect on the dynamic
beam particles in addition to the external fields. The
possibility ionization residual gas by electron beam was
taking into account also. Numerical simulations shows
clearly that for electron beam current less then 1 A the
electrostatic beam focusing occurs. For beam current
about of 1 A the potential maximum in the positive
space charge region decreases (from 580 to 210 V), it
distribution is getting double-humped and electrostatic
focusing destroyed (Fig. 1). It is due to that some part of
210 ISSN 1562-6016. ВАНТ. 2015. №1(95)
ions comes out from cloud with the propagating electron
beam and their number grows with increasing of beam
current [3]. Significant part of cloud particles carry out
by e-beam along beam line and ions continuing to come
in cloud from electrodes couldn‟t support renewal
processes. Thus cloud potential decrease and it
distribution changes from one-hump to two-humps.
Note that it corresponded to case when beam space
charge density a bit exceeds to space charge cloud
density. So in this case is possible to improve PL
electrostatic focusing property by increasing energy and
current density Ar+ ions beam that create positive space
charge cloud. In Fig. 2 is shown potential distribution
by electron beam propagating for increasing Ar+ ions
beam current from 20 till 40 mA. Ones can see potential
distribution come back to one-peak form and focusing
properties PL was recovered.
Fig. 1. Potential distribution in PL (top) and electron
beam trajectories (down) by e-beam
(energy(Eeb)=10 keV, current(Ieb)=1 A) passing through
PL. Ar+-ions beam energy (Eib)=2.4 keV, current
(Iib)=20 mA, magnetic field (MF) ~50 Oe on the axis
Fig. 2. Potential distribution in PL (top) and electron
beam trajectories (down) by e-beam (Eeb=10 keV,
Ieb=1 A) passing through PL. Ion beam(Ar+):
Eib=2.4 keV, Iib=40 mA; MF ~50 Oe at the axis
However, the cloud quickly destroys with further
electron beam current increasing when beam space
charge density significantly exceeds space charge cloud
density, (Fig. 3 top) and it is not possible to renew
electrostatic focusing properties any way. As can see
(see Fig. 3 down) for electron beam with current on the
order of tens ampere for which the beam space charge
density much more than space charge plasma lens the
only the magnetic focusing of the beam provides. Note,
that taking into consideration an ionization residual gas
by electron beam don‟t lead to essential changing in
simulations of final results.
Fig. 3. Potential distribution in PL (top) and e-beam
trajectories (down) by e-beam (Eeb=10 keV, Ieb=10 A)
passing through PL. Ar+-ions :Eib=2.4 keV,
Iib=100 mA, MF ~100 Oe on the axis
2. PLASMA ACCELERATOR WITH
CLOSED ELECTRON DRIFT AND OPEN
WALLS
For creating an effective lens of positive space
charge could be used plasma accelerators with closed
electron drift and open walls. The simplified scheme of
device is shown in Fig. 4 Note, that such kind
accelerators are can be attractive for the creation of
cost-effective, small rocket engines.
Fig. 4. The simplified scheme of device: 1 – anode,
2 – cathode, 3 – magnetic system
To analyze the properties of such kind an accelerator
we use a one-dimensional hydrodynamic model. We
assume that the current density is the sum of the ion and
electron components:
.р i ej j j (1)
Taking into account that divergence of ion current is
ie
i en
dx
dj
(2)
with given the fact that it equals pj on the cathode we
get
ISSN 1562-6016. ВАНТ. 2015. №1(95) 211
рiei jxenj )1( , (3)
here
i is the ionization frequency. The electron current
is
2
.e
e e e e
e
e d
j en E n T
m dx
(4)
So, we can get:
.0)1(
2
eee
e
e
ie Tn
dx
d
Een
m
e
xen
(5)
For simplicity, we neglect the diffusion, then the
equation (5) can be rewritten as:
.0)1(
2
Een
m
e
xen e
e
e
ie
(6)
Replacing Е=-∂φ/∂x and using the Poisson
equation ∆φ=4πe(ne - ni), where ne >> ni. . We can
obtain from (6) the differential equation of second order
and representing this equation in dimensionless form we
get:
( 1) 0x a , (7)
where .
2di
a
Here we have introduced the notation:
2
e
e
m
e
– electron transverse mobility, φа –
anode potential; d – gap length; νe is the frequency of
elastic collisions with neutrals and ions and
e is the
electron cyclotron frequency. Omitted trivial solution
=0 and taking into account boundary condition
1
0
x
we obtain potential distribution within gap in
form:
2( 1) 1 1a x , (8)
where a=1/2.
Potential distribution (8) for different parameters a is
shown in Fig. 5. One can see that under a=1 the total
applied potential falling down inside of the accelerating
gap. In this optimal case
i
Ad
2
. (9)
Suggested that all electrons originated from the gap only
by impact ionization, and then go out at the anode due
to classical transverse mobility this expression can
represent in form:
.
2
i
e
Ae
(10)
This expression coinсid with one for anode layer (see
[6]) accurate within √2.
Note, in case when parameter a<1 (the gap length
less than δ) potential drop is not completed. For case
a>1, when the gap length d> δ potential drop exceed
applied potential. This can be due to electron space
charge at the accelerator exit.
Fig. 5. Potential distribution for different parameters a
CONCLUSIONS
The paper is devoted the description of further
development the dynamic a wide-aperture non-
relativistic intense electron beam simulation in a cloud
of positive space charge plasma lens. It was shown that
plasma lens property depends significantly on operating
mode and ratio between electron beam and lens current.
It is shown the plasma lens significantly improve of
electron beam focusing in low-current mode. In case of
high-current mode while as electron beam space charge
much more than space charge plasma lens the lens
operates in plasma mode to create transparent plasma
accelerating electrode. The simulation results
demonstrate perspective of application positive space
charged plasma lens with magnetic electron insulation
for focusing and manipulating wide-aperture high-
current no relativistic electron beams.
First, the original approach to use plasma accelerators
with closed electron drift, equipotentialization magnetic
field lines and open walls for creation cost effective low
maintenance plasma lens with positive space charge was
described too. It is proposed theoretical model self
consistent describing the potential distribution in the
accelerating gap.
Note that the presented plasma devices are attractive for
many different applications in the state-of-the-art
vacuum-plasma processing.
The work is supported by the grant of 34-08-14 (Ukr)
and 14-08-90400 (Rus) and, in part, by SFFR
F53.2/013 and RFBR 13-08-90416.
REFERENCES
1. A.A. Goncharov, I.G. Brown. Plasma Devices Based
on the Plasma Lens-A Review of Results and
Applications // IEEE Trans. Plasma Sci. 2007, v. 35(4),
p. 986-991.
2. A. Goncharov, A. Dobrovolskiy, S. Dunets,
A. Evsyukov, I. Litovko, V. Gushenets, E. Oks.
Positive-Space-Charge Lens for Focusing and
212 ISSN 1562-6016. ВАНТ. 2015. №1(95)
Manipulating High-Current Beams of Negatively
Charged Particles // IEEE Trans. Plasma Sci. 2011,
v. 39, № 6, p. 1408-1411.
3. V. Gushenets, A. Goncharov, A. Dobrovolskiy,
S. Dunets, I. Litovko, E. Oks, A. Bugaev. Electrostatic
plasma lens focusing of an intense electron beam in an
electron source with a vacuum arc plasma cathode //
IEEE Trans. Plasma Sci. 2013, v. 41, № 4, part 3,
p. 2171-2174.
4. D. Potter. Methods of Calculations in Physics.
Moscow: „„Mir”, 1975.
5. A.A. Goncharov, A.M. Dobrovolskiy, S.P. Dunets,
I.V. Litovko, V.I. Gushenets, E.M. Oks // Rev. Sci.
Instrum. 2012, v. 83, p. (02B).
6. Grishin et al. Plasma Accelerators. Moscow:
„„Mashinostroenie”, 1983, p. 47 (in Russian).
Article received 20.12.2014
КОМПЬЮТЕРНОЕ МОДЕЛИРОВАНИЕ НОВОГО ПОКОЛЕНИЯ ПЛАЗМООПТИЧЕСКИХ
УСТРОЙСТВ
И. Литовко, A. Гончаров, A. Добровольский, Л. Найко, И. Найко, В. Гушенец, E. Окс
Представлены результаты численного моделирования двух плазмооптических устройств нового
поколения, представляющих интерес для современных технологий. Описаны аксиально-
симметрические, цилиндрические, плазмооптические устройства, в физической и конструктивной
основе которых лежит электростатическая плазменная линза. Приведены результаты дальнейшего
развития численной модели динамики нерелятивистского широкоапертурного интенсивного пучка
электронов в облаке положительного пространственного заряда. Впервые описана одномерная модель
оригинального плазменного ускорителя с открытыми стенками для использования вкачестве
эффективной плазменой линзы спозитивным пространственным зарядом.
КОМПЮТЕРНЕ МОДЕЛЮВАННЯ НОВОГО ПОКОЛIННЯ ПЛАЗМОВООПТИЧНИХ ПРИЛАДIВ
I. Лiтовко, O. Гончаров, A. Добровольський, Л. Найко, I. Найко, В. Гушенец, Є. Окс
Представлено результати чисельного моделювання двох плазмово-оптичних приладів нового
покоління, які представляють інтерес для сучасних технологій. Описано аксіально-симетричні,
циліндричні, плазмовооптичні пристрої, в фізичної і конструктивної основі яких лежить
електростатична плазмова лінза. Наведено результати подальшого розвитку чисельної моделі динаміки
пучка електронів у хмарі позитивного просторового заряду, створеного циліндричним прискорювачем з
анодним шаром та магнітною ізоляцією електронів. Вперше описана одновимірна модель оригінального
плазмового прискорювача з відкритими стінками для використання в якості ефективної плазмової лінзи
з позитивним просторовим зарядом.
|
| id | nasplib_isofts_kiev_ua-123456789-82249 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1562-6016 |
| language | English |
| last_indexed | 2025-12-07T16:46:09Z |
| publishDate | 2015 |
| publisher | Національний науковий центр «Харківський фізико-технічний інститут» НАН України |
| record_format | dspace |
| spelling | Litovko, I. Goncharov, A. Dobrovolsky, A. Najko, L. Najko, I. Gushenets, V. Oks, E. 2015-05-27T10:10:25Z 2015-05-27T10:10:25Z 2015 Computer modelling new generation plasma optical devices (new results) / I. Litovko, A. Goncharov, A. Dobrovolsky, L. Najko, I. Najko, V. Gushenets, E. Oks // Вопросы атомной науки и техники. — 2015. — № 1. — С. 209-212. — Бібліогр.: 6 назв. — англ. 1562-6016 PACS: 52.65.-y https://nasplib.isofts.kiev.ua/handle/123456789/82249 We present new results of computer modeling two new generation plasma optical devices based on the electrostatic plasma lens configuration that open up perspective possibility for high-tech effective applications. There describe development numerical model computer simulation results of a wide-aperture non-relativistic intense electron beam propagating through an axially symmetric plasma optical lens with a non -compensated positive space charge and the results of some theoretical calculations. The described also the original approach to use plasma accelerators with closed electron drift and open walls for generating effective lens with positive space charge. Представлены результаты численного моделирования двух плазмооптических устройств нового поколения, представляющих интерес для современных технологий. Описаны аксиально-симметрические, цилиндрические, плазмооптические устройства, в физической и конструктивной основе которых лежит электростатическая плазменная линза. Приведены результаты дальнейшего развития численной модели динамики нерелятивистского широкоапертурного интенсивного пучка электронов в облаке положительного пространственного заряда. Впервые описана одномерная модель оригинального плазменного ускорителя с открытыми стенками для использования вкачестве эффективной плазменой линзы спозитивным пространственным зарядом. Представлено результати чисельного моделювання двох плазмово-оптичних приладів нового покоління, які представляють інтерес для сучасних технологій. Описано аксіально-симетричні, циліндричні, плазмовооптичні пристрої, в фізичної і конструктивної основі яких лежить електростатична плазмова лінза. Наведено результати подальшого розвитку чисельної моделі динаміки пучка електронів у хмарі позитивного просторового заряду, створеного циліндричним прискорювачем з анодним шаром та магнітною ізоляцією електронів. Вперше описана одновимірна модель оригінального плазмового прискорювача з відкритими стінками для використання в якості ефективної плазмової лінзи з позитивним просторовим зарядом. The work is supported by the grant of 34-08-14 (Ukr)
 and 14-08-90400 (Rus) and, in part, by SFFR
 F53.2/013 and RFBR 13-08-90416. en Національний науковий центр «Харківський фізико-технічний інститут» НАН України Вопросы атомной науки и техники Низкотемпературная плазма и плазменные технологии Computer modelling new generation plasma optical devices (new results) Компьютерное моделирование нового поколения плазмооптических устройств Компютерне моделювання нового поколiння плазмовооптичних приладiв Article published earlier |
| spellingShingle | Computer modelling new generation plasma optical devices (new results) Litovko, I. Goncharov, A. Dobrovolsky, A. Najko, L. Najko, I. Gushenets, V. Oks, E. Низкотемпературная плазма и плазменные технологии |
| title | Computer modelling new generation plasma optical devices (new results) |
| title_alt | Компьютерное моделирование нового поколения плазмооптических устройств Компютерне моделювання нового поколiння плазмовооптичних приладiв |
| title_full | Computer modelling new generation plasma optical devices (new results) |
| title_fullStr | Computer modelling new generation plasma optical devices (new results) |
| title_full_unstemmed | Computer modelling new generation plasma optical devices (new results) |
| title_short | Computer modelling new generation plasma optical devices (new results) |
| title_sort | computer modelling new generation plasma optical devices (new results) |
| topic | Низкотемпературная плазма и плазменные технологии |
| topic_facet | Низкотемпературная плазма и плазменные технологии |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/82249 |
| work_keys_str_mv | AT litovkoi computermodellingnewgenerationplasmaopticaldevicesnewresults AT goncharova computermodellingnewgenerationplasmaopticaldevicesnewresults AT dobrovolskya computermodellingnewgenerationplasmaopticaldevicesnewresults AT najkol computermodellingnewgenerationplasmaopticaldevicesnewresults AT najkoi computermodellingnewgenerationplasmaopticaldevicesnewresults AT gushenetsv computermodellingnewgenerationplasmaopticaldevicesnewresults AT okse computermodellingnewgenerationplasmaopticaldevicesnewresults AT litovkoi kompʹûternoemodelirovanienovogopokoleniâplazmooptičeskihustroistv AT goncharova kompʹûternoemodelirovanienovogopokoleniâplazmooptičeskihustroistv AT dobrovolskya kompʹûternoemodelirovanienovogopokoleniâplazmooptičeskihustroistv AT najkol kompʹûternoemodelirovanienovogopokoleniâplazmooptičeskihustroistv AT najkoi kompʹûternoemodelirovanienovogopokoleniâplazmooptičeskihustroistv AT gushenetsv kompʹûternoemodelirovanienovogopokoleniâplazmooptičeskihustroistv AT okse kompʹûternoemodelirovanienovogopokoleniâplazmooptičeskihustroistv AT litovkoi kompûternemodelûvannânovogopokolinnâplazmovooptičnihpriladiv AT goncharova kompûternemodelûvannânovogopokolinnâplazmovooptičnihpriladiv AT dobrovolskya kompûternemodelûvannânovogopokolinnâplazmovooptičnihpriladiv AT najkol kompûternemodelûvannânovogopokolinnâplazmovooptičnihpriladiv AT najkoi kompûternemodelûvannânovogopokolinnâplazmovooptičnihpriladiv AT gushenetsv kompûternemodelûvannânovogopokolinnâplazmovooptičnihpriladiv AT okse kompûternemodelûvannânovogopokolinnâplazmovooptičnihpriladiv |