Based on a relativistic fluid-Maxwell model, laser-induced plasma dynamics is investigated for relativistic periodic waves. Within a one-dimensional (1D) description, the Akhiezer–Polovin model is applied to the existence of periodic, nonlinearly coupled electromagnetic and electrostatic waves, and the corresponding particle motion. Known existence criteria for periodic solutions are generalized. The corresponding stability behaviors are investigated by 1D integrators of the relativistic fluid-Maxwell model. It is shown that in contrast to the vacuum solution, linearly polarized coupled electromagnetic-electrostatic waves are unstable in plasmas. The magnitudes of the growth rates are investigated in terms of the maximum amplitudes and normalized phase velocities.

1.
A. I.
Akhiezer
and
R. V.
Polovin
,
Sov. Phys. JETP
3
,
696
(
1956
).
2.
E. S.
Sarachik
and
G. T.
Schappert
,
Phys. Rev. D
1
,
2738
(
1970
).
3.
A.
Modena
,
Z.
Najmudin
,
A. E.
Dangor
,
C. E.
Clayton
,
K. A.
Marsh
,
C.
Joshi
,
V.
Malka
,
C. B.
Darrow
,
C.
Danson
,
D.
Neely
, and
F. N.
Walsh
,
Nature (London)
377
,
606
(
1995
).
4.
5.
T.
Esirkepov
,
S. V.
Bulanov
,
M.
Yamagiwa
, and
T.
Tajima
,
Phys. Rev. Lett.
96
,
014803
(
2006
).
6.
E.
Esarey
,
C. B.
Schroeder
, and
W. P.
Leemans
,
Rev. Mod. Phys.
81
,
1229
(
2009
).
7.
P.
Kaw
and
J.
Dawson
,
Phys. Fluids
13
,
472
(
1970
).
8.
G. A.
Mourou
,
T.
Tajima
, and
S. V.
Bulanov
,
Rev. Mod. Phys.
78
,
309
(
2006
).
9.
A.
Borovsky
,
A.
Galkin
,
V.
Korobkin
, and
O.
Shiryaev
,
Phys. Rev. E
59
,
2253
(
1999
).
10.
A.
Borovskii
,
A.
Galkin
, and
O.
Shiryaev
,
Sov. Phys. JETP
89
,
1055
(
1999
).
11.
F.
Verheest
and
T.
Cattaert
,
Phys. Plasmas
12
,
032304
(
2005
).
12.
O.
Shiryaev
,
Phys. Plasmas
13
,
112304
(
2006
).
13.
O.
Shiryaev
,
Phys. Plasmas
15
,
012308
(
2008
).
14.
B.
Grammaticos
,
A.
Ramani
, and
H.
Yoshida
,
Phys. Lett. A
124
,
65
(
1987
).
15.
D.
Teychenné
,
E.
Bésuelle
,
A.
Oloumi
, and
R.
Salomaa
,
Phys. Rev. Lett.
85
,
5571
(
2000
).
17.
C.
Max
and
F.
Perkins
,
Phys. Rev. Lett.
27
,
1342
(
1971
).
18.
A. C.-L.
Chian
and
P. C.
Clemmow
,
J. Plasma Phys.
14
,
505
(
1975
).
19.
C. E.
Max
,
Phys. Fluids
16
,
1277
(
1973
).
21.
T. C.
Pesch
and
H. -J.
Kull
,
Phys. Plasmas
14
,
083103
(
2007
).
22.
P. C.
Clemmow
and
R. D.
Harding
,
J. Plasma Phys.
23
,
71
(
1980
).
23.
P. C.
Clemmow
,
J. Plasma Phys.
27
,
177
(
1982
).
24.
T. C.
Pesch
and
H. J.
Kull
,
Laser Phys.
19
,
1753
(
2009
).
25.
T. C.
Pesch
and
H. -J.
Kull
,
Europhys. Lett.
85
,
25003
(
2009
).
26.
B.
He
,
T.
Chang
, and
J.
Liu
,
Phys. Plasmas
16
,
023102
(
2009
).
27.
T. C.
Pesch
and
H. -J.
Kull
,
Phys. Plasmas
17
,
012305
(
2010
).
28.
G.
Lehmann
,
E. W.
Laedke
, and
K. H.
Spatschek
,
Phys. Plasmas
13
,
092302
(
2006
).
29.
G.
Lehmann
,
E. W.
Laedke
, and
K. H.
Spatschek
,
Phys. Plasmas
14
,
103109
(
2007
).
30.
G.
Lehmann
,
E. W.
Laedke
, and
K. H.
Spatschek
,
Phys. Plasmas
15
,
072307
(
2008
).
31.
D.
Farina
and
S. V.
Bulanov
,
Phys. Rev. Lett.
86
,
5289
(
2001
).
32.
P.
Kaw
,
A.
Sen
, and
E.
Valeo
,
Physica D
9
,
96
(
1983
).
33.
C.
Karle
,
J.
Schweitzer
,
M.
Hochbruck
, and
K.
Spatschek
,
J. Comput. Phys.
227
,
7701
(
2008
).
You do not currently have access to this content.