A relativistic theory for Raman backscattering, in the beam frame of electrons, is presented and is used to find the growth rate of a free-electron laser in Raman regime. The effects of the self-electric and self-magnetic fields, on the equilibrium trajectories of electrons, are taken into account. The wiggler effects, on the linear dispersion relations of the space-charge wave and radiation, are included in the analysis. A numerical computation is conducted to investigate the wiggler and self-field effects on the growth rate. The results of the relativistic and nonrelativistic treatments are compared.

1.
J. F.
Drake
,
P. K.
Kaw
,
Y. C.
Lee
,
G.
Schmidt
,
C. S.
Liu
, and
M. N.
Rosenbluth
,
Phys. Fluids
17
,
778
(
1974
).
2.
V. P.
Silin
and
A. N.
Starodub
,
Zh. Eksp. Teor. Fiz.
67
,
2110
(
1974
)
V. P.
Silin
and
A. N.
Starodub
, [
Sov. Phys. JETP
40
,
1047
(
1975
)].
3.
D. W.
Forslund
,
J. M.
Kindel
, and
E. L.
Lindman
,
Phys. Fluids
18
,
1002
(
1975
).
4.
B.
Maraghechi
and
J. E.
Willett
,
Plasma Phys.
21
,
163
(
1979
).
5.
C. J.
Mckinstrie
and
R.
Bingham
,
Phys. Fluids B
4
,
2626
(
1992
).
6.
A.
Sakharov
and
V.
Kirsanov
,
Phys. Rev. E
49
,
3274
(
1994
).
7.
C. D.
Decker
,
W. B.
Mori
,
K.-C.
Tzeng
, and
T.
Katsouleas
,
Phys. Plasmas
3
,
2047
(
1996
).
8.
J. E.
Willett
,
Y.
Aktas
, and
H.
Mehdian
,
Phys. Plasmas
2
,
1311
(
1995
).
9.
B.
Maraghechi
and
S.
Mirzanejhad
,
Phys. Plasmas
4
,
2797
(
1997
).
10.
B.
Maraghechi
,
B.
Farokhi
, and
S.
Mirzanejhad
,
Phys. Plasmas
7
,
1309
(
2000
).
11.
T.
Kawn
and
J. M.
Dawson
,
Phys. Fluids
22
,
1089
(
1979
).
12.
I. B.
Bernstein
and
L.
Friedland
,
Phys. Rev. A
23
,
816
(
1981
).
13.
O.
Demoka
and
Y.
Kabak
,
Phys. Fluids B
4
,
3382
(
1992
).
14.
H.
Mehdian
,
J. E.
Willett
, and
Y.
Aktas
,
Phys. Plasmas
5
,
4079
(
1998
).
15.
S.
Mirzanejhad
,
B.
Maraghechi
, and
T.
Mohsenpour
, “
Self-field effects on electron dynamics in free electron laser with axial magnetic field
,”
Phys. Plasmas
(to be published).
16.
H. P.
Freund
and
P.
Sprangle
,
Phys. Rev. A
28
,
1835
(
1983
).
17.
J. E.
Willett
,
B.
Bolon
,
Y.
Aktas
, and
H.
Mehdian
,
Phys. Rev. E
57
,
7169
(
1998
).
18.
R. C.
Davidson
,
W. W.
Lee
,
H.
Qin
, and
E.
Startsev
,
Phys. Plasmas
9
,
340
(
2002
).
This content is only available via PDF.
You do not currently have access to this content.