The quasi-cooling effect of relativistic charged particles beams
A possibility of realization of a new, of principle, physical phenomenon is shown. This is the phenomenon of energy equalization of charged particle beams in the time their acceleration in the crossed undulative electric and magnetic fields (EH-fields). The phenomenon predicted is referred to as the...
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| Цитувати: | The quasi-cooling effect of relativistic charged particles beams / V.V. Kulish, I.V. Gubanov, Nguen Ai Vent, A.J. Brusnik // Вопросы атомной науки и техники. — 2007. — № 5. — С. 184-189. — Бібліогр.: 3 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1859837897107046400 |
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| author | Kulish, V.V. Gubanov, I.V. Nguen Ai Vent Brusnik, A.J. |
| author_facet | Kulish, V.V. Gubanov, I.V. Nguen Ai Vent Brusnik, A.J. |
| citation_txt | The quasi-cooling effect of relativistic charged particles beams / V.V. Kulish, I.V. Gubanov, Nguen Ai Vent, A.J. Brusnik // Вопросы атомной науки и техники. — 2007. — № 5. — С. 184-189. — Бібліогр.: 3 назв. — англ. |
| collection | DSpace DC |
| container_title | Вопросы атомной науки и техники |
| description | A possibility of realization of a new, of principle, physical phenomenon is shown. This is the phenomenon of energy equalization of charged particle beams in the time their acceleration in the crossed undulative electric and magnetic fields (EH-fields). The phenomenon predicted is referred to as the quasi-cooling effect. Main properties and features of the effect are studied. In particular, it is shown that it would be experimentally observed for the existing today level of acceleration technologies.
Описано новий фізичний ефект - ефект вирівнювання енергій заряджених частинок пучка під час їх прискорення в схрещених електричному та магнітному ондуляторних полях (EH-полях). Даний ефект трактується як ефект ефективного охолодження. Вивчено загальні властивості та основні характеристики даного ефекту. Зокрема показано, що дане явище може бути експериментально реалізовано на існуючому рівні прискорювальних технологій.
Описан новый физический эффект - эффект выравнивания энергий заряженных частиц пучка при их ускорении в скрещенных электрическом и магнитном ондуляторных полях (EH-полях). Данный эффект трактуется, как эффект эффективного охлаждения. Изучены основные особенности и характеристики данного эффекта. В том числе показано, что данный эффект может быть экспериментально реализован на существующем уровне ускорительных технологий.
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| first_indexed | 2025-12-07T15:35:59Z |
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THE QUASI-COOLING EFFECT OF RELATIVISTIC
CHARGED PARTICLES BEAMS
V.V. Kulish1, I.V. Gubanov1∗, Nguen Ai Vent2, A.Ju. Brusnik1
1 Department of Theoretical Physics, National Aviation University, Kyiv, Ukraine
2 Institute of Physics and Electronics, Hanoi, Vietnam
(Received March 20, 2007)
A possibility of realization of a new, of principle, physical phenomenon is shown. This is the phenomenon of energy
equalization of charged particle beams in the time their acceleration in the crossed undulative electric and magnetic
fields (EH-fields). The phenomenon predicted is referred to as the quasi-cooling effect. Main properties and features
of the effect are studied. In particular, it is shown that it would be experimentally observed for the existing today
level of acceleration technologies.
PACS: 52.75.-d
1. INTRODUCTION
It is well known that the problem of forming of es-
sentially ”cold” charged particle beams (for instance,
the cooling effect in the storage rings) are very topical
for many branches of modern applied electrodynam-
ics [1, 2]. They are accelerators of special class, var-
ious technologies for generation and amplification of
especially ”cold” electromagnetic signals, etc. How-
ever, really satisfactory physical mechanisms for re-
alization of practical systems of such kind are not
found till today. In this connecting we chose the main
purpose of this article the looking for such mech-
anisms. As a result of the work accomplished the
mechanism of energy equalization of charged particles
in beams during their acceleration in the crossed un-
dulative electric and magnetic fields (EH-fields) has
been found. The phenomenon predicted is called con-
ditionally the quasi-cooling effect. It should be noted
that, strongly saying, the quasi-cooling of charged
particle beams, which move in the accelerating EH-
fields, looks as an unusual phenomenon from many
points of view. Including, it is known that accord-ing
to the second law of thermodynamics any heat can-
not be transferred from any colder object to other
hotter one. Therefore, at the first sight, it looks that
existing the quasi-cooling effect in Nature is impossi-
ble, in principle. However, really this is not quite cor-
rect, because this law is applicable strictly for ther-
modynamically closed systems only. It is well known
that any charged particle beam moving in external
electromagnetic fields is an essentially open system.
Therefore, really the second thermodynamic law does
not prohibit realization of the discussed type of phe-
nomena. The second ”doubtful” position concerns
the Liouville theorem. Let us remind that, in ac-
cordance with this theorem, the phase volume of any
dynamical system conserves its magnitude always. In
our case, the phase volume of the accelerated electron
bunch is determined in the six-dimensional space of
three space coordinates x, y, z and three components
of canonical momentum Px, Py , Pz . According
to opinion of potential our critics, the momentum
components of a charged particle bunch cannot de-
crease (i.e., the beam can not be cooled), in princi-
ple, because of the Liouville theorem. Unfortunately,
it is a widespread mistake. The Liouville theorem
really forbids the changing phase volume only. Or,
in other words, this prohibition is not correct if it
is respected to part of coordinates of the phase vol-
ume only (in our case they are momentum coordi-
nate components). The point is that the momentum
coordinates may change really if the spatial coordi-
nates change simultaneously, too. It is obvious that
the phase volume, as a whole, should be conserved
in such situation. This could be treated as the phase
volume could turn in six-dimension space, as a whole,
conserving its total magnitude. We can accomplish
such turn, for instance, in such a manner that the
momentum sizes of the phase volume (i.e., momen-
tum spread on coordinates Px, Py , Pz) decreases (the
process the bunch energy equalization occurs). And,
simultaneously, the spatial size (coordinate spread
width of on the spatial coordinates) increases syn-
chronously. Therein, the magnitude of the phase vol-
ume does not change during this process. Hence, the
Liouville theorem holds really in such case. It should
be mentioned that just this situation is realized in
the case of considered quasi-cooling effect.
2. ESSENCE OF THE QUASI-COOLING
EFFECT
The physical meaning of the quasi-cooling effect
∗Corresponding author. E-mail address: gubanov@gala.net
184 PROBLEMS OF ATOMIC SCIENCE AND TECHNOLOGY, 2007, N5.
Series: Nuclear Physics Investigations (48), p.184-189.
is illustrated in Fig. 1. There the charged particle
(electrons) moves in the EH-accelerator [1] in the
EH-field. One readily can be made certain that the
electron trajectories has a sinus-like shape and the
electrons moving in such field are accelerated [1].
And the last, we can find that the amplitude of elec-
tron undulations depends on its energy. This means
that the electron with less energy (or that is the
same, with less relativistic mass) moves along the
trajectories with greater oscillation amplitude (see
item 2 in Fig .1). Correspondingly, the trajectory of
the electron with larger energy is characterized by
less amplitude (see item 5 at the same place). Then,
let us turn the reader attention that the acceleration
of electrons occurs within the space (gap) between
two neighboring magnetic poles (see item 1 in Fig.1)
under action of the transversal electric field ~E (see
item 4 in the same place). As a result, the electrons
with lager amplitudes 2 get the lager acceleration
and vice versa. However, as it noted above, the elec-
trons with lager amplitude possess the less energy.
Therefore the electrons with less energy are accel-
erated more than the electrons with lager energy.
Therein, particle 2 in Fig.1 as well electron 5 (in the
same place) equalize their energy with the energy of
benchmark electron 3. This means that the discussed
model has a peculiar phenomenon of equalization of
the electron energies. Just this phenomenon, as it is
mentioned above, has been referred by authors to as
the quasi-cooling effect.
Fig.1. Trajectories of three typical electrons, differ-
ing by energies, moving in the crossed undulative
magnetic and electric fields (EH-fields). Here: 1 are
the magnetic poles, 2 is the electron which has the
smallest energy ε1, 3 is the electron which we regard
as a benchmark particle (whose energy ε2 > ε1), 4
are the vectors of intensity of transverse electric field
~E, 5 are the directions of the vectors of undulative
electric field ~B, 6 is the electron which has largest
energy
Saying about possible practical realizations of the
model shown in Fig.1, we can turn the reader atten-
tion on the following. Firstly, the transverse electric
field ~E can be generated by two different methods.
The first is the inductional one. In this case the mag-
netic field ~B (see item 5 in Fig.1) is a slowly varying
on time function. The undulative transverse electric
field ~E (see item 4 in the same figure) in this case is
generated owing to the well-known effect of electro-
magnetic induction. In such situation we have the
so-called non-stationary system. In the case when
the electric field ~E is generated by some other in-
dependent (with respect to the undulative magnetic
field 5) method we have the stationary system. Sec-
ondly, independently with the method of generation
of the electric field, we, in turn, have (with respect to
the amplitudes of undulative fields) the homogeneous
and inhomogeneous systems, respectively. Then, let
us discussed shortly characteristic features of the sys-
tem of these types.
3. THE HOMOGENEOUS NON-
STATIONARY SYSTEMS
In what follows, let us continue our analy-
sis of physical essence of the quasi-cooling effect.
The weak-relativistic homogeneous circularly po-
larized EH-models is chosen as a convenient ob-
ject for this purposes. The dependencies of rela-
tivistic factors for some ten electrons distinguish-
ing by their initial energies mc2γ(j)0 are shown
in Fig.2 (here: j = 1, 2, . . . , 10 are electron num-
bers; (j)0 are their initial relativistic factors).
Fig.2. Dependencies of the averaged relativistic
factors γ̄ for ten electrons, which have different
initial energies mc2γ(j)0. Here: j = 1, 2, . . . , 10
are the electron numbers; the magnetic field am-
plitude B = 3 kGs; the electric field intensity is
E = 100 kV/m; the undulation period Λ = 5 cm; the
system length L = 1 m
The result of numerical calculations confirms
that the quasi-cooling effect indeed could be re-
alized in the EH-accelerators. The initial energy
spread ∆ε0∆γ0mc2 ∼ 122 keV at the system input
(see in Fig.2) transforms into the output spread
∆ε̄output ∼ 35 keV , i.e. and the decreasing of initial
energy would be obtained in ∼ 3.5 times. However,
it is shown also that the real dynamics of electrons
in the EH-fields is more complicated than it seems at
first sight. First, the quasi-cooling effect manifests its
”quasi-cooling properties” with respect to some sep-
arated group of electrons only (just for the electrons
with numbers from 1 till 5, see Fig.2). At the same
185
time, it ap-pears rather feeble for the rest electrons,
i.e., for the electrons with numbers from 6 till 10.
Fig.3. Dependencies of the averaged relativistic fac-
tors for the ten electrons (curve 1), which possess
different initial energies (initial spread takes place
with respect to all three components of electron mo-
tion). Curve 2 shows the dependency of relative de-
creasing of energy spread δγ̄ = 4γ/〈γ〉 · 100% on the
non-dimension coordinate T = z/L. Here: the in-
duction of magnetic component of the EH-undulated
field B = 3 kGs, the intensity of vortex electric field
E = 150 kV/m, the period of undulations Λ = 5 cm,
the system length L = 1 m
As analysis shows, the effectiveness of such se-
lection mechanism essentially depends on system pa-
rameters, including, the field amplitudes, the initial
energies of electrons, etc. Second, from the practical
point of view, the scale of quasi-cooling in the consid-
ered example does not make an impression. Therefore
we should look for ways of in-creasing the practical
attractiveness of the considered phenomenon. As a
first step in this direction, let us to make clear the
main physical causes of the shortcoming mentioned.
In particular, we will study the effectiveness of quasi-
cooling mechanism depending of the width of electron
spread for initial energies. Previously let us intro-
duce a few new specific designations. The relativistic
factors of electrons 1 and 10 (see Fig. 2) can be writ-
ten as
γ(1) =
[
1− (
v2
x + v2
y + v2
z
)
/c2
]−1/2
(1)
γ(10) =
{
1−
[
(vx + ∆vx)2 + (vy + ∆vy)2 +
+(vz + ∆vz)
2
]
/c2
}−1/2
,
where ∆vx, ∆vy, ∆vz are initial electron spreads with
respect to their velocities. Taking in view ordinary
common sense, let as accept the following condition
for the ”relative coldness” of cooled beam:
|∆vx,y,z| << vx,y,z. (2)
Relevant numerical estimations show that condition
2 is satisfied for the considered example for electrons
with numbers from 1 till 5 (see Fig. 2). With the
condition 2 after corresponding expansion in a power
series we write for the width of spread with respect
to electron relativistic factors:
∆γ = γ(10) − γ(1) ≈ (3)
≈ γ3
(1) (vx∆vx + vy∆vy + vz∆vz) /c2 +
+ γ3
(1)
[
(∆vx)2 + (∆vy)2 + (∆vz)
2
]
/c2 + ...
Besides that, the definitions are introduced for the
partial relativistic factors γ(j)x,y,z:
γ(j)x,y,z =
(
1− v2
x,y,z/c2
)−1/2
. (4)
Therein, to avoid misunderstandings, we should point
out especially that γ(j) 6= γ(j)x + γ(j)y + γ(j)z, i.e.,
partial relativistic factors γ(j)x,y,z have no direct en-
ergetic sense. They are only the normalized (in spe-
cific way) squares of electron velocities on different
coordinates. Then, expression 3 after some transfor-
mation can be written as
∆γ ≈
γ3
(1)
γ3
(1)x
∆γx +
γ3
(1)
γ3
(1)y
∆γy +
γ3
(1)
γ3
(1)z
∆γz + (5)
+ O
[
(∆γx,y,z)2
]
,
where only the linear terms are taken into account to
calculated with respect to the differences of partial
relativistic factors
∆γx,y,z = γ(10)x,y,z − γ(1)x,y,z ≈ (6)
≈ γ3
(1)x,y,z
(
vx,y,z∆vx,y,z/c2
)
.
As it will be demonstrated below, expressions 3,5,
explicitly explains all mentioned specific features of
the quasi-cooling effect. As it is accepted above,
the electrons have initially only longitudinal non-
zero velocity spread ∆vz0. In spite of this supposi-
tion, the corresponding dynamic transverse spread
|∆γx,y| > 0 appears during the acceleration process
because of nonlinear relation of transverse and lon-
gitudinal electron motions. But, let us discuss this
peculiar physical mechanism in more details. The
mentioned transverse spread appears just due to the
dependency of electron energy on all velocity com-
ponents at the same time. Electrons, which have
larger initial longitudinal relativistic mass, get, as
it mentioned already, the less energy of transverse
oscillations (see item 2 in Fig. 1 and correspond-
ing explanations). Inasmuch as it has been assumed
earlier that electrons in the input are differed by lon-
gitudinal relativistic factors γ(j)0z only (i.e., initially
∆γz > 0, ∆γx,y(z = 0) = 0, see Fig. 2) that the cor-
responding addends to the transverse current energy
are found to be formally negative: ∆γx,y(z > 0) < 0.
In view of 5, it, in turn, means that the appear-
ance of transverse electron spread is accompanied
by decreasing the total energy spread mc2∆γ. Or,
in other words, there is a paradox that in spite of
the appearance of additional transverse spread in the
considered model, the decreasing total energy spread
occurs. It is interesting to note that in the case if
186
the initial transverse spread is given nonzero that it
should also decrease during the acceleration process.
Explanation of this paradox is rather simple. The
point is that the initial energy spread (including the
transverse one) is always positively determined value,
whereas the above-discussed transverse additions, as
it mentioned already, are characterized by negative
sign: ∆γx,y(z > 0) < 0. Further, come to discussion
about behavior of the electron group represented by
particles 6 - 10 in Fig. 2. It should be mentioned
that formula 5 is not applicable in this case. This
could be explained by that electrons of this group are
characterized by relatively large initial energy spread.
As a result, at list the condition for the longitudinal
motion component like 2 is not satisfied in this case.
More precise (than 5) expression for the total elec-
tron spread can be obtained taking into account the
next (quadratic) terms ∼ (∆vx,y,z)
2 of correspond-
ing expansions. However, the addends of this type
to the right side of 5 turn out to be always positive.
There-fore, the work of the above-discussed compen-
sation mechanism (based on the negative signs of
linear addends ∆γ(j)x,y in 5) changes for the worse.
Therein, this occurs more essential then wider ini-
tial energy is spread ∆ε = ∆γ0mc2, i.e. the stronger
is the influence of quadratic addends ∼ (∆vx,y,z)
2.
The dynamics of electrons 6 − 10 in Fig.2 illustrates
just this physical situation. Then let us discuss more
general homogeneous model whose quasi-cooling dy-
namics is illustrated in Fig.2. We consider that initial
spread in this model takes place with respect to all
three components of electron motion, and the model
is more relativistic. On the contrary to Fig.2, it has
been assumed that the magnitude of initial energy
spread is not too large (i.e. we will study dynamics
of the electrons analogous to that taking numbers
from 1 until 5 in Fig.2). The dynamics of the total
averaged relativistic factors γ̄(j) of ten different elec-
trons (i.e. j = 1, 2, . . . , 10) and the total averaged
spread width ∆γ̄ are shown in Fig.3. It is seen that
the averaged spread width ∆γ̄ eventually decreases
more than 6 times, i.e. the gain of quasi-cooling (in
comparison with the previous case (see Fig.2)) is ap-
proximately 1,7 times. The explanation of this fact
is simple because this result could be got due to the
above-accepted assumption that the initial energy
spread mc2∆γ0 is chosen as moderate one.
4. THE HOMOGENEOUS STATIONARY
EH-COOLER
Example of the design-schemes of stationary
linearly-polarized EH-coolers is shown in Fig. 4
(one period only, for simplicity). In distinct
from the non-stationary EH-cooler, the vortex
electric field (see item 7 in Fig. 4) in the
work bulk of the stationary EH-cooler is gener-
ated by special external inductors. The latter
are placed in the space between magnetic poles 4.
Fig.4. Design scheme of the linearly polarized
stationary EH-cooler (one period only). Here: 1 are
the ceramic inserts, 2 are the inductor windings,
3 are magnetic fluxes within cores of the ferrite
inductors, 4 are the permanent magnet poles, 5 is
the vector of undulative magnetic field, 6 are the
ferrite cores of inductors, 7 is the vector of intensity
of the vortex electric field
Each of these inductors consists of a ferrite core
6 and windings 2 (one or a few coils). The specific
feature of the discussed design is utilization of a spe-
cial magnetic screen. Due to this we can avoid some
practical problems, connected with influence of the
boundary magnetic field. In a practice, the mag-
netic poles 4 are made of some magnetic materials
in the region only, where the turning of the acceler-
ated (cooled) bunch occurs. The rest part of the poles
1 could be made of some nonmagnetic (ceramic) di-
electric material.
Fig.5. Dependencies of the averaged kinetic
particle energy ε̄1 and the relative energy spread
δ = (εmax − εmin)/〈ε〉 for ten large particles
(i = 1, 2, ..., 10 ) on normalized longitudinal coordi-
nate T = z/L. All particles different by the initial
kinetic energy, therein curve 1 and 2 correspond to
particles with maximal and minimal initial energy,
respectively. Curve 3 describes the dependency of
the relative energy spread δ = δ(T ). Here: the in-
tensity of electric field is 1.32MV/m, the induction
of magnetic field is 180 Gs, the initial energy of
electrons is 160 keV
187
Then, let us analyze dynamics of the quasi-cooling
process in the considered model. The methods of
large particles and hierarchic version of the Bo-
golyubov method 1,3 are used for quantitative anal-
ysis. It is assumed that number of the large particles
is ten. After tabulation of corresponding analytical
expressions result of the analysis are represented in
a graphical form (see Fig.5). First of all, it should
be noted that, in contrast to the non-stationary EH-
systems, the capture effect 1 does not realize in the
stationary model. This allows eliminate a number of
limitations on the system parameters, including, to
increase the work length of the system. In turn, it
opens more promising prospects for obtaining higher
levels for the beam quasi-cooling. The materials of
Fig. 5 evidently demonstrate these hopes. This is
made on the example of system with the averaged
input electron energy ∼ 160 keV for the initial energy
spread ∼ 52%. Correspondingly, the output energy
spread is ∼ 1% for the averaged energy 0.5 MeV .
Thus, there is the electron bunch quasi-cooling at
∼ 52 times in this particular case. Besides that, in
distinct from the case of non-stationary EH-cooler
(see the previous paragraph), in the discussed case
we get a stable electron bunch, i.e., the bunch whose
electron velocities do not depend on their output
time.
5. THE INHOMOGENEOUS STATIONARY
EH-COOLER
Some results of quantitative analysis of the EH-
coolers with longitudinal and transversal inhomo-
geneities of amplitudes of the electric and magnetic
fields are illustrated in Fig.6 and Fig.7.
Fig.6. Dependencies of the electron kinetic energy
εi for ten electrons (i = 1, ..., 10) differing their
initial energy (curves 1), and the relative electron
spread δ (curve 2) on the normalized longitudi-
nal T = z/L. Here: the electric field intensity
E = 190 kV m, the undulation period is 20 cm, and
the system length L = 1 m. The longitudinally
inhomogeneous system
It is readily seen that the above-formulated con-
clusion about the practical promising of the EH-
coolers can be confirmed in the case of inhomoge-
neous models also. Namely, unique systems for form-
ing especially high-qualitative electron beams can be
designed on the basis of standard low-qualitative elec-
tron injectors. In particular, for the initial energy
spread 12% eventually the electron beam is obtained
with the energy spread 0.3%, i.e., the energy spread
can be reduced in 40 time and more. Therein, the
well-known beam transportation problem is solved
here effectively by means of focusing property of the
inhomogeneous real EH-model (see corresponding re-
sults in Fig.7).
We calculate the trajectories of all large parti-
cles for study of behavior of the electron beam, as
whole. As a result we obtain a possibility to con-
trol the evolution its width during the quasi-cooling
process. The beam width 〈∆x〉 could be determined
as a result of statistical averaging on transverse co-
ordinates of all particles in each beam cross-section.
Correspond-ing results of such calculations are rep-
resented in Fig.7. It is readily seen that owing to
introducing the transverse inhomogeneity the above
mentioned transportation problem could be success-
fully solved. It is important to note that, as analysis
shows, the introducing the transverse inhomogeneity
allows additionally amplifying the affectivity of the
quasi-cooling process in some special system arrange-
ments.
Fig.7. Evolution of the averaged beam width
〈∆x〉 and trajectory of the benchmark particle 〈x〉
during the quasi-cooling process in the transversely
inhomogeneous system. Here: curve 1 describes the
non-averaged (on the undulations) trajectory of the
benchmark particle, curve 2 illustrates the evolution
of the averaged beam width 〈∆x〉 in the case of an
equivalent homogeneous model, and curve 3 shows
the same dependency in the case of considered
inhomogeneous model; the induction of magnetic
field is 180 Gs, the intensity of electric field is
920 kV/m, the input electron energy is 100 keV , the
inhomogeneity coefficient χ′ = 0, 04 cm1
188
REFERENCES
1. V.V. Kulish. Hierarchical methods. Vol.II. Un-
dulative electrodynamic systems, Dordrecht /
Boston / London, ”Kluwer Academic Publish-
ers”, 2002.
2. M. Conte and W.W. MacKay.An introduction to
the physics of particle accelerators,Singapore /
New Jersey / London / Hong Kong,”World Sci-
entific”, 1991.
3. V.V. Kulish.Hierarchical methods. Vol.I. Hier-
archy and Hierarchical Asymptotic Methods in
Electro-dynamics, Dordrecht / Boston / Lon-
don,”Kluwer Academic Publishers”, 2002.
ЭФФЕКТ КВАЗИ-ОХЛАЖДЕНИЯ ПУЧКОВ РЕЛЯТИВИСТСКИХ ЗАРЯЖЕННЫХ
ЧАСТИЦ
В.В. Кулиш, И.В.Губанов, Нгуен Ай Вьет, А.Ю.Брусник
Описан новый физический эффект - эффект выравнивания энергий заряженных частиц пучка при
их ускорении в скрещенных электрическом и магнитном ондуляторных полях (EH-полях). Данный
эффект трактуется, как эффект эффективного охлаждения. Изучены основные особенности и харак-
теристики данного эффекта. В том числе показано, что данный эффект может быть экспериментально
реализован на существующем уровне ускорительных технологий.
ЕФЕКТ КВАЗI-ОХОЛОДЖЕННЯ ПУЧКIВ РЕЛЯТИВIСТСЬКИХ ЗАРЯДЖЕНИХ
ЧАСТИНОК
В.В. Кулiш, I.В. Губанов, Нгуєн Ай В’єт, А.Ю. Бруснiк
Описано новий фiзичний ефект - ефект вирiвнювання енергiй заряджених частинок пучка пiд час їх
прискорення в схрещених електричному та магнiтному ондуляторних полях (EH-полях). Даний ефект
трактується як ефект ефективного охолодження. Вивчено загальнi властивостi та основнi характери-
стики даного ефекту. Зокрема показано, що дане явище може бути експериментально реалiзовано на
iснуючому рiвнi прискорювальних технологiй.
189
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| id | nasplib_isofts_kiev_ua-123456789-110558 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1562-6016 |
| language | English |
| last_indexed | 2025-12-07T15:35:59Z |
| publishDate | 2007 |
| publisher | Національний авіаційний університет України |
| record_format | dspace |
| spelling | Kulish, V.V. Gubanov, I.V. Nguen Ai Vent Brusnik, A.J. 2017-01-04T19:25:53Z 2017-01-04T19:25:53Z 2007 The quasi-cooling effect of relativistic charged particles beams / V.V. Kulish, I.V. Gubanov, Nguen Ai Vent, A.J. Brusnik // Вопросы атомной науки и техники. — 2007. — № 5. — С. 184-189. — Бібліогр.: 3 назв. — англ. 1562-6016 PACS: 52.75.-d https://nasplib.isofts.kiev.ua/handle/123456789/110558 A possibility of realization of a new, of principle, physical phenomenon is shown. This is the phenomenon of energy equalization of charged particle beams in the time their acceleration in the crossed undulative electric and magnetic fields (EH-fields). The phenomenon predicted is referred to as the quasi-cooling effect. Main properties and features of the effect are studied. In particular, it is shown that it would be experimentally observed for the existing today level of acceleration technologies. Описано новий фізичний ефект - ефект вирівнювання енергій заряджених частинок пучка під час їх прискорення в схрещених електричному та магнітному ондуляторних полях (EH-полях). Даний ефект трактується як ефект ефективного охолодження. Вивчено загальні властивості та основні характеристики даного ефекту. Зокрема показано, що дане явище може бути експериментально реалізовано на існуючому рівні прискорювальних технологій. Описан новый физический эффект - эффект выравнивания энергий заряженных частиц пучка при их ускорении в скрещенных электрическом и магнитном ондуляторных полях (EH-полях). Данный эффект трактуется, как эффект эффективного охлаждения. Изучены основные особенности и характеристики данного эффекта. В том числе показано, что данный эффект может быть экспериментально реализован на существующем уровне ускорительных технологий. en Національний авіаційний університет України Вопросы атомной науки и техники Теория и техника ускорения частиц The quasi-cooling effect of relativistic charged particles beams Ефект квазі-охолодження пучків релятивістських заряджених частинок Эффект квази-охлаждения пучков релятивистских заряженных частиц Article published earlier |
| spellingShingle | The quasi-cooling effect of relativistic charged particles beams Kulish, V.V. Gubanov, I.V. Nguen Ai Vent Brusnik, A.J. Теория и техника ускорения частиц |
| title | The quasi-cooling effect of relativistic charged particles beams |
| title_alt | Ефект квазі-охолодження пучків релятивістських заряджених частинок Эффект квази-охлаждения пучков релятивистских заряженных частиц |
| title_full | The quasi-cooling effect of relativistic charged particles beams |
| title_fullStr | The quasi-cooling effect of relativistic charged particles beams |
| title_full_unstemmed | The quasi-cooling effect of relativistic charged particles beams |
| title_short | The quasi-cooling effect of relativistic charged particles beams |
| title_sort | quasi-cooling effect of relativistic charged particles beams |
| topic | Теория и техника ускорения частиц |
| topic_facet | Теория и техника ускорения частиц |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/110558 |
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