HAL Id: jpa-00219314
https://hal.archives-ouvertes.fr/jpa-00219314
Submitted on 1 Jan 1979
HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether they are pub- lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.
L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.
STUDY OF LOW FREQUENCY OSCILLATIONS IN THE OPEN TRAP WITH MINIMUM B MAGNETIC
FIELD
V. Ziltsov, P. Kozarev, I. Makashin, D. Panov, A. Skovoroda, A.G. Scherbakov
To cite this version:
V. Ziltsov, P. Kozarev, I. Makashin, D. Panov, A. Skovoroda, et al.. STUDY OF LOW FREQUENCY OSCILLATIONS IN THE OPEN TRAP WITH MINIMUM B MAGNETIC FIELD. Journal de Physique Colloques, 1979, 40 (C7), pp.C7-663-C7-664. �10.1051/jphyscol:19797322�. �jpa-00219314�
JOURNAL DE PHYSIQUE CoZZoque C7, suppZdment au n07, Tome 40, ~ u i Z Z e t 1979, page C7- 663
STUDY OF LOW FREQUENCY OSCILLATIONS IN THE OPEN TRAP WITH MINIMUM B MAGNETIC FIELD
V.A. Ziltsov, P.M. Kozarev, I.N. Makashin, D.A. Panov, A.A. Skovoroda and A.G. Scherbakov.
Kumhatov I n s t i t u t e of Atomic Energy, Moscou, U.S. S. R.
I n the minimum b o p ~ n t r a p s a t the @.en- s i t y w OisWci ,when a f l u i t i n s t a b i l i t y i s damped,it has been experimentdy ob- served the presence of low frequency d r i - f t o s c i l l a t i o n s / l ,2,3/ ,The origins of the o s c i l l a t i o n s and there r o l e i n transport phenomena were not invest i c a t e d i n these references .In r e f ./4/ the existence of mechanism of ions trasport across magne- t i c f i e l d due .tp the action of d r i f t
(D)
end i o n cyclotron (HF-)oscillations was experimentaly shown.In t h i s paper the properties of I;F o s c i l l a t i o n s and causes 'of there r i s e i n minimumB f i e l d were investigated.The experiments were c a r r i e d out with the open t r a p "Ogra-3B" with minimum magnet set.Magnetic f i e l d with 17 kG strength i n the center w a s fabricated from baseba- l l - t i p e c o i l .*The distance between mirrors was 70 cm.Longitudinal and r a d i a l mirror r a t i o were2,ob and 2 ,respectively.The maximum plasma parameters i n t h e middle of the t r a p were:denaity ,bIOc,-3,
electron temperature 0,5keV,plasma l i f e - time 7 s e c ( i t was determined by charge exchange process) ,plasma radius 7 cm, plasma length(a1ong Z a%is)7cm
.
LF and HF o e c i l l a t i o n s were measured by the s e t of e l e c t r o s t a t i c antennae, dispo- sed a t the plasma midplane and along mag- n e t i c force 1ines.U o s c i l l a t i o n s of
"cold ion" and eleckron flows along for- ce l i n e s were measured too.Fluctuations of the electron density i n the center of the t r a p were measured by absorption of super high frequency(SH3') electromagnetic wave a t the electron cyclotron frequency /4/ .The me asurements of fluctuations of density and flows gave us an opportuning t o obtain some of the properties of oscil- l a t i o n s i n plasma i n t e r i o r .
Let us consider the conditions of LF wa- ves exitation.'Phe e x i t a t i o n can be "aoftn a t low deneity ( n 109cm-3) ,when cyc- l o t r o n fluctuations are absent (Flg.1)
.
The cyclotron o s c i l l a t i o n s , a r i s i n g a t the density
n
> 109c-3 (threshold depends on the magnetic f i e l d value),have a burst s t r u c t u r e .They l e a d %o %he hard e x i t a t i o n o f lowfrequency oscillations(Fig.2) with E f i e l d amplitude about some t e n s V/cm.The b u r s t s of HF o s c i l l a t i o n s are accom- panied by the junrps of plasma p o t e n t i a l
with an amplitude about some hundreds V.
LF o s c i l l a t i o n s can be also exited a f t e r switching off the beam,when plasma density i s f a l l i n g down and cyclotron fluctuations are damped with help of electron heating (Fig.a).l'he I;F o s c i l l a t i o n s spectrum, measured by the e l e c t r o s t a t i c antenna set- t l e d a t the midplane (l),by an absorption of SHF wave (2) end by electron flow are similar(P'ig.4) .Some differance of the amplitudes of t h e separate constituents of spectrum i s explanea by the s p a t i a l l o c a l i z a t i o n of o s c i l l a t i o n s with diffe- r e n t r a d i a l structur.LF o s c i l l a t i o n s are r a t h e r regular between HI? burats.During the burst sharp rebuilding of I;F oscilla- t i o n s takes place(the t i m e l e s s than
IIF
o s c i l l a t i o n s period).Time i n t e r v a l between t h e RE' bursts depends on the plasma densi- t y and can be r a t h e r smal,l(some msec.).
It was possible i n our experiments t o re- o e i m LF spectrum during the time l e s s t than 1 msec.At the same time the oscilla- t i o n s of the cold ions flow (2) and the o s c i l l a t i o n s , measured by the electrosta- t i c antenna, placed a t z=20cm, have i n p r i n c i p a l lower f~equency(Fig.5)~
For the simple model of plasma column with a parabolic r a d i a l d i s t r i b u t i o n of densi-t;y the dispersion r e l a t i o n f o r LF o s c i l l a t i o n s can be writen as i n Ref.6
2 2wOim 2
8 =
---
- ( I-
l / ( ~ + mu')1
u c i a
where m
-
azimuthal mode number, a-
p l a sma radius, 6.1 *- frequency of ion d r i f t i n inhomogeneous magnetic field,X
-
characte-r i s t i c r a d i a l wave nuiuber,determined from t h e boundary conditions .This equation gives two different branches of s t a b l e oscil1ations:electron and ion.This branc- hes f o r m=l are shown(the s o l i d l i n e s
-
experiment) i n Fig.6.The value of i n equation was taken t o normalizilr the lowese r a d i a l mode electron brunch theore- t i o a l dependence on the experimental poi- nts.Drift freguency o* w a s estima'r;ed from ion brunch measurements .Experimentaly the frequency values were received by help of e l e c t r o s t a t i c antenna t h a t were disposed a t the nidplane.!Phe plasma r o t a t i o n i n the ambipolar e l e c t r i c f i e l d introduces a con- t r i b u t i o n t o these frequencies.The value of: positive p o t e n t i a l grows propartionalyArticle published online by EDP Sciences and available at http://dx.doi.org/10.1051/jphyscol:19797322
t o the density up t o
,
,09cm-3 . A t t h i sdensity t h e p o t e n t i a l i s about 1 kV.The frequency of plasma r o t a t i o n
w
z I O ~ P /
a 2 Bi s about 1
-
1 , 5 l o 5 sec-'.It r i s e s some- what the frequency of e l e c t r o n brunch and decreases t h a t f o r i o n brunch.Fig.7 shows a f a a t scan of t h e e l e c t r o n brunch o s c i l - l a t i o n s ( I ) a t t h e moment when the b u r s t of HF o s c i l l a t i o n s takes place and plasma p o t e n t i a l changes sharply (2).Fig.6 shows t h a t t h e e l e c t r o n and i o n bru nches of L'F o s c i l l a t i o n s e x i s t i n the p l a sma.The dispersion of experimental p o i n t s i s connected with exi'i;ment of t h e diffe- r e n t r a a i a l modes.Note t h a t these brun- ches ere n e u t r a l y stable.Electron and ion o s c i l l a t i o n s have a p o s i t i v e energy.
?an the density n c
,
109cm-3 t h e fluc- t u a t i o n s may be e x i t e d by noises of i n j e c t e d beam.The measured spectrum of beam f l u c t u a t i o n s i s p r a c t i c a l y white up t o t h e frequency about 200 kT3z.h amplitude of t h e p o l a r i z a t i o n e l e c t r i c f i e l d by i o n i z a t i o n is l a r g e too.LF o s c i l l a t i o n s a t*.<,
109 cm-3 lead t o an appearence of anomalous p o t e n t i a l , discussed i n /5/.
I f n r , 109c-3 HF o s c i l l a t i o n s a r i s e and appearence of LF o ~ c i l l a t i o n s i s cor- r e l a t e d with t h e beginning of HF o s c i l l a - tions.Let us note t h a t LP o s c i l l a t i o n s e x i s t s much more lonRer than HF b u r s t - (Fig.2).
Thus LF o s c i l l a t i o n s i n the frequency range up t;o 500 kHz take place i n the open t r a p with minimum B .Ion and e l e c t r o n branches of o s c i l l a t i o n s are observed.
It i s shah t h a t they may be e x i t e d by i n j e c t e d beam noises and cyclotron oscil- 1 a t ions
/l/Artemenkov L.1. at a l l .Plasm.Phys.
andcontr .Nucl .Fus .Re s .IAEA, Vienna,
~.45,19bb.
/2/Damm C.C. e t a l l .Pl.Phys. anb Con.
Nucl.Fus.Res.IAEAtVie~atp.253,19b9 /3/Cordey J.G. e t di,Pl.Phys , a d Con.
l?ucl.Fus .Res.XAEA,Vienna,p.267,7969 +&ZSZiltsov V.A.et .al.VII I n t .Conf .P1.
P~s.andCon.Nucl.~s.Res.IAEA-Cm-37.
S-2, Insbruck, I978
/5/Putvinskii S.V.Timofeev A.V. Zh.Exp.
Teor .Fiz.69,221(1975)
/b/Kadomcev B.B. Zh.Exp.Teor.Fiz.
4Ot328(19bI
1
F i g .1
i .
7