Хомич В. А., Ямщиков В. А.

43
1, 2011
533.9.03
.
.
, . .
,
-
.
.
: N2 : He,
.
170
CO2 : N2 : He = 1 : 2 : 3
-
2
10
.
PACS: 52.80.Tn
:
, CO2
,
,
-
.
,
,
-
-
[5—8].
,
).
(
,
,
,
-
.
,
,
.
-
[1, 3],
.
,
,
.
,
.
,
,
[1—13].
[2—12]
[1—11].
,
[1, 10, 11].
-
,
,
[4, 5, 8, 10, 11].
.
,
,
,
,
.
,
[14, 15].
.
.
, 911186,
,
. (499) 135-11-95. E-mail: [email protected]
20
.,
-
,
,
.
-
,
,
,
-
-
,
. ., 2011
, 18.
.
2010 .
,
-
44
1, 2011
.
,
-
(
.
[14]
F2
ArF-
[2, 16].
-
,
.
( 20
,
-
)
2
( 1
40
).
)
.
,
n0 = 106—107
-3
-
[9, 10].
-
.
.
[15].
-
,
-
.
.
-
.
,
,
[10, 11].
-
,
,
-
-
,
[10].
,
.
-
,
-
.
-
,
.
,
.
(
40
.
(
)
. 1,
).
,
[17].
-
i/ e
,
.
—
< 10-4 (
,
2
i
e
,
,
.
-
,
—
)
-
,
CO2 : N2 : He.
n0.
,
"
,
-
,
,
[17].
-
.
.
. 2
,
y
x
,
n0.
,
,
[17].
45
1, 2011
n/n0
103
5
4
n0
3
1
2 Rí
3
2
10–2
1
10–3
0
1
2
3
4
y,
0E
E0
n0
2
1
3
d
. 3.
4
5
3
1
1
-
2
0
1
2
3
4
. 1.
n0 ,
,
n0 = 108—109 -3 [10, 17].
y,
( );
,
( )
t
:
n0 = 2,5 105 -3, E0/p = 52 /(
),
= 300
, d = 4 , i = 10-2;
1 — t = 118 ; 2 — t = 185 ; 3 — t = 202 ;
4 — t = 210 ; 5 — t = 236
-
,
.
-
[10, 11]
.
y d
,
—
,
0, 8
ph
nph(t) c,
ini(0,t)vi(0,t).
-
0, 6
,
,
0, 4
0, 2
0,5
. 2.
10 7
3
n0
10 8
3
n0
10 9
3
-
.
,
.
,
x d
1, 5
1
n0
-
.
y
x
[10, 18]
.
-
,
,
,
,
. 3.
-
,
,
.
,
,
,
,
.
,
.
-
46
1, 2011
,
. 4, ,
: —
-
,
L
-
,
,
,
n0 = 108—109
.
,
-
-3
,
,
.
-
,
[10].
(
:
)
[1, 6, 7],
[20],
[21],
-
. .
.
.
[19].
,
,
n
,
[1, 3, 10].
.
10
-3
10
d —
0,4—0,5
/(
3
),
CO2
[16, 22].
.
.
L,
1,6
1, 2
0,8
0, 4
1
3
2
4
5
6
7
8
9
t,
T,
16
12
8
4
10
—
20
30
L
. 4.
40
-
,
-
,
,
-
.
L 1/3 d (
),
-
,
,
-
,
—
Q.
,
,
t;
50
t; —
60
70
:
Q
80 Q,
/(
)
T
47
1, 2011
,
,
n0 >107
-
-3
,
E(x)
EK
E0
.
-
,
.
x
d
0
-
À
. 5.
E(x)
,
d
.
,
[10, 11],
( )
E0 —
x d—
;0 x
,
c
-
,
;
-
—
.
—
( . .
)
x
Ex
E 4 en x
E 4 en0 x
0<x< .
(1)
-
-
.
;E —
,
-
.
( ):
,
.
,
,
-
,
-
.
, . .
:
1
,
,
.
,
,
.
,
.
[4, 8]
[1].
,
n0.
.5
= ( )—
-
,
0
,
.
-
.
n+
.
,
<< d).
-
.
.
dE/dx = 4 e(n+ n–) = 0,
0
-
,
,
( < x < d)
n–
(2)
,
,
.
[1],
-
48
1, 2011
-
, C* = 1,53.
CO2:N2:He = 1:2:3
,
[1]:
S
C(
1
E x dx ln
C
(3 )
1 .
) —
Eqs = 12,5
,
[1, 23].
,
-
.
,
,
CO2
n0 > 7 108 -3.
(
n0,
[1]),
:
(3 )
1 .
(2)
C
1
–3
1 1011
(4)
1 .
[1]
1 1010
-
1 109
7,1 10 8
e-Bp/E,
=
E = Eqs,
3, 4 1011
:
ln
.
1 1012
1
ln
C
,
(4)
1 108
:
1
Bp
EC
1
E
ln ln
1
1 107
(5 )
1
1, 25 10 4
2 104
n0
EC
1
E
(5 )
C
Bp
.
(5 )
(5 )
,p—
ln ln
1
E
,
-
B
E 2Eqs .
n0 >3,4 1011
-3
.
(7)
,
-
1 .
n0
(1)
EC
(2):
1
E 4 en0
(5 )
E 4 en0 pAe
(6)
(6),
n0
4 e
pAe
Bp
E
n0
C E2
Bp C E
(7)
B = 365 /(
-
,
-
[24, 25],
[26, 27],
[28].
(7)
.
.6
n
= 312,5
,
.
Bp
E .
E,
1
,
. 6.
1
, C
2,5 10 4
E
CO2:N2:He
.
[1],
= 15 (
), 4 e = 1,81 10-6
,
)-1,
= 10-2
-
49
1, 2011
,
,
[26, 27].
(
.7
300
CO2:N2:He = 1:2:3 (
)
,
~ 4
0,1 %
.
10
( )
n0
j e,
t
,
-
t
,
-
-3
.
. 8,
CO2:N2:He = 1:2:3 (
)
.
CO2
.
,
,
n0 = 5 1011
.
.
-
-3
n0 = 2 10
,
.
-
-
( ),
.
)
,
2
2—25
-3
)
n0,
.
je
1
(n0 = 5 107
,
.
-
,
-
0,1 %
,
.
2
je 15
.
V 60 ; d ~ 19
U 290
; n0
10
,
.
:
12
-3
;
.
-
—
.
(V
-
. 8,
4 ;d
10
109
; n0
[19]
-3
).
.
-
—
.
,
,
.
.
.
. 8, ,
-
,
.
. 9
CO2:N2:He = 1:2:3 (
)
0,1 %
L = 20
.
,
-
,
10
.
-
,
,
.
L > 20
-
,
. 7.
CO2:N2:He = 1:2:3 (
0,1 %
):
— n0 = 5 107 -3; — n0 = 2 1010 -3; — n0 = 5 1011 -3
.
— 1,4),
-
(
.
50
1, 2011
. 8.
—
(n0 ~1012
U,
-3
);
CO2:N2:He
—
(n0 ~109
I, A
0
t,
-3
)
—
.
20
10
0
100
:
-
,
t,
-
U,
.
,
100
-
,
0
.
t,
n0,
I,
5
.
n0
n0
0
2
4
6
. 9.
—
8
; —
; —
CO2:N2:He = 1:2:3 (
10
7
2-
-3
.
-
:
1.
; —
~ 0,1 %
L = 20
,
1012
-3
,
.
t,
)
,
,
10
,
,
2
,
2.
,
,
-
1981.
3.
.:
4.
.—
5.
, 1982.
6.
. .,
. .
. — .:
. .,
, 1980.
. .
. .
, 1982.
. .
.
:
, 1982.
. .,
.
.
.,
.
.
.—
.:
,
.
.
. —
-
.
.—
.,
.
.
.—
.:
2
:
-
.,
-
, 1983.
51
1, 2011
7.
. .,
8.
.—
9.
. .,
. — .:
. .
. .
, 1987.
. .,
:
, 1991.
. .,
. .,
. .
. — .:
, 1991.
. .//
. 2000. . 170. 3. . 225.
. .,
. .//
. 2000.
-
10.
11.
. 70.
. 10. . 27.
12. Apollonov V. V., Baitsur G. G., Ermachenco A. V., Firsov K. N., Konev V. M., Kononov I. G., Kowalchuk O. B., Kralin V. V.,
Minenhov V. R., Prokhorov A. M., Semenov S. K., Shubin B. G.,
Yamshchikov V. A.//JOSA B. 1991. V. 8. No. 2. P. 220.
13. Bastiaens H. M. J. On the long pulse operation of the molecular fluorine laser//Thesis for the degree of PD, University of
Twente, Enschede, Netherlands. 2000.
14. Treshchalov A., Lissovski A., Chikeev E.//International
Conf. on Atomic and Molecular Pulsed Lasers IV, Proceeding of
SPIE. 2002. V. 4747. P. 253.
15.
. .,
. .,
. .,
. .,
. .,
. .//
. 2006. . 36. 5. . 393.
16. Levatter J. I., Lin S.-C.//J. Appl. Phys. 1980. V. 51.
P. 210.
17.
. .,
. .,
. .,
. .
:
,
30-85. —
, 1985.
18.
. .,
. .//
. 1996.
. 22.
. 19. . 74.
19.
.
. .,
N2
2:
20.
.
1972. . 10.
. 3.
21.
.
. 1975. . 43.
22.
.
. .,
. .//
. 42. 12. . 2488.
23.
.
. .,
. .//
24.
.
. .,
. 33. 12. .1043.
25.
.
. 2008. . 78.
26.
.
. .,
. 401.
27.
.
. .,
28.
.,
. .,
87. —
. //
. 475.
.,
1. . 192.
.,
. .,
.,
.
.,
.//
. .,
. .
-
., 1989.
.
.
.,
.
.,
. .,
.
,
.
.//
. .,
. .,
. 1978.
. .,
. .,
.,
. .,
. .,
. 1977. . 3.
. 20. . 1073.
. .,
. .,
. .//
. 2003.
.,
.
. 10. . 53.
.,
. .//
.,
. .//
. .,
.
. .,
. .,
.
. .,
.,
. .,
. 1986. . 12.
.
.//
. 7.
. .,
. .,
. III
.
.—
, 1986.
. .,
. .,
. 1976. . 3.
3.
. 601.
Generation of plasma inhomogeneities and their total suppression
in a volume self-sustained discharge
V. Yu. Khomich, V. A. Yamshchikov
Institute for Electrophysics and Electroenergetics, 18 Dvortsovaya Naberezhnaya,
S.-Petersburg, 191186, Russia
E-mail: [email protected]
Principal modes of inhomogeneities, formed in a volume self-sustained discharge, are analysed.
Possible mechanisms and conditions of suppression of their development are considered. The volume self-sustained discharge (VSSD) in the
2 : N2 : He gas mixes is obtained and investigated.
Local plasma inhomogeneities are absent in this discharge. Duration of steady burning of the VSSD
in the CO2:N2:He = 1:2:3 mixed gas at atmospheric pressure has made 10 s at the 170 J/litr power
contribution.
PACS: 52.80.Tn
Keywords: volume self-sustained discharge, discharge inhomogeneities, initial electrons density, CO2-laser.
Bibliography — 28 references.
Received September 20, 2010