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.
REFERENCES
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.
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
).
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