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HOLOGRAPHIC TIME-DIFFERENTIAL CINE-IMERFEROMETRY OF THE GAS DISCHARGE PLASMA

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HAL Id: jpa-00219424

https://hal.archives-ouvertes.fr/jpa-00219424

Submitted on 1 Jan 1979

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HOLOGRAPHIC TIME-DIFFERENTIAL CINE-IMERFEROMETRY OF THE GAS

DISCHARGE PLASMA

Yu. Filenko, B. Stepanov, L. Ushakov

To cite this version:

Yu. Filenko, B. Stepanov, L. Ushakov. HOLOGRAPHIC TIME-DIFFERENTIAL CINE- IMERFEROMETRY OF THE GAS DISCHARGE PLASMA. Journal de Physique Colloques, 1979, 40 (C7), pp.C7-873-C7-874. �10.1051/jphyscol:19797422�. �jpa-00219424�

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JOURNAL DE PHYSIQUE CoZZoque C7, suppze'rnent au n07, Tome 40, JuiZZet 1979, page C7- 873

HOLOGRAPHIC TIME-DIFFERENTIAL CINE-INTEFWEROMETRY ff THE GAS DISCHARGE PLASMA

Yu. I. Filenko, B.M. Stepanov and L.S. Ushakov.

Gosstandard, U. S. S . R.

The methods of obtaining holographic t i m e - d i f f e r e n t i a l cine-interfesograms of t h e e l e c t r i c discharge i n t h e a i r a r e con- sidered. These a r e t h e i m p r ~ v e d methods of those described i n 1 , 2

.

The main

idea of t h e s e new methods i s t h a t t h e re- f e r e n c e beam is passing t o a photographic p l a t e through an opaque mask (Fig.1) with a p e r t u r e s placed along t h e s p i r a l s ,

Fig.l. The mask,

Khen r o t a t i n g such a mask some a r e a s of t h e photographic p l a t e a r e opened twice t o p u l s e reference r a d i a t i o n , t h e time between exposures being multiple t h e ra- d i a t i o n puLse r e p e t i t i o n period. This mul- t i p l i c i t y depends on t h e area p o s i t i o n of t h e photographic p l a t e , which enables t h e comparison interferograms of any p a i r of a l l recorded discharge phases t o be obta- ined i n one recording. The number of t h e discharge phases i s equal t o t h a t of t h e l i g h t r a d i a t i o n p u l s e s , whose r e p e t i t i o n r a t e must agree with %he mask r o t a t i o n speed.

The block-diagram o f t h e experimenf;~

made with t h e use of t h e s o v i e t UIG-1M ho- lographic instrument and t h e above methods i s shown i n Fig.20

Pig.2. The block-diagram of t h e experi- ment s

.

The ruby l a s e r 1,3,5 was provided with an acousto-optical modulator 2 t o generate t h e required p u l s e t r a i n s . The sound wa- ve was excited

ih

t h e water c e l l by t h r e e

symmetrical transducers. Applying about 10 kHz i n t e r r u p t i o n frequency t o t h e bri- ving acoustic s i g n a l and choose t h e aP- p r o p r i a t e pumping l e v e l t h e s t a b l e genera- t i o n of 5 g i a n t p u l s e t r a i n was obtained.

The r o t a t i o n speed of t h e disk-mask 6 i n the reference beam was 40 000 r.p.8. The

Article published online by EDP Sciences and available at http://dx.doi.org/10.1051/jphyscol:19797422

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reference beam passed through t h e mask M i c e r e f l e c t i n g from t h e mirror 1 placed behind t h e mask*

IQ agree t h e mask r o t a t i o n speed with t h e generation pulse r e p e t i t i o n r a t e a He-Ne l a s e r 17 was used, whose beam modu- l a t e d by t h e same mask was f a l l i n g onto t h e photodiode 16. The s i g n a l s from t h e photodiode and t h e driving frequency gene- r a t o r 14 were d i r e c t e d t o t h e two-beam os- c i l l o g r a p h 15. Four i n t e r f erograms of t h e successive phases o f t h e a i r discharge between t h e electrodes 9 and a l l t h e time- d i f f e r e n t i a l interferograms of these di- scharge phases were recorded ... 9n t h e same photographic p l a t e 11.

The d i s t r i b u t i o n s of t h e plasma re- f r a c t i o n f a c t o r were evaluated i n t h e a x i a l ppproximation by computer processing.

These d i s t r i b u t i o n s corresponding t o 140,~s and 240 ps from t h e moment of i n i t i a t i o n a r e shown i n Fig. 3a,b. There a r e a l s o gi- ven t h e e r r o r i n t e r v a l s whose values were caused by t h e e r r o r s of d a t a obtaining and processing. I n P i g . 3 ~ t h e s o l i d l i n e denotes t h e changing of t h e r e f r e c t i o n f a c t o r between phase A and B obtained by s u b t r a c t i n g A curve from B curve. I n t h i s case t h e e r r o r i n t e r v a l of t h i s dependen- ce t u r n s out t o be so l a r g e t h a t t h e zero l i n e n (r)-n (r)=O i s included i n t o it, with such a processing one cannot be su- r e whether t h e change of n took place a t a l l . The r e s u l t s of t h e t i m e - d i f f e r e n t i a l comparison interferogram of A and B pha- s e s i s shown by a dashed l i n e i n F i g . 3 ~ .

"..

Fig. 3.

he

r e s u l t s of i n t e r f erogram pro- c e s s i n g .

The e r r o r of n c a l c u l a t i o n was I ~ O , which allowed q u a n t i t a t i v e s t u d i e s of t h e t r a n s i t i o n A B.

It should a l s o be pointed out t h a t due t o t h e t i m e - d i f f e r e n t i a l interferometry method t h e range of n change i s widened t o l a r g e r values. The nwnber of f r i n g e s

acceptable f o r t h e q u a n t i t a t i v e proces- s i n g i s l i m i t e d by t h e obtained space re- solution. When comparing successive pha- s e s with t h e i n i t i a l phase % h i s number determines t h e deviation of t h e object p r o p e r t i e s from t h e i n i t i a l ones. However t h e t i m e - d i f f e r e n t i a l interferometry me- thods allow such number of f r i n g e s f o r each comparison interferogram of t h e pha- s e successive p a i r s r e s u l t i n g i n t h e men- ti oned broadening.

References

1. J.CrBinder,Nouv.Rev.d'0pt.Appl.,v.2,

N*3,1971.

2. P.Hariharan,Z.S.Hegedus,Opt~commm., v*9,N*2,1973*

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