High harmonic fast waves (HHFW) are among the candidates for non-inductive current drive (CD), which is essential for long-pulse or steady-state operation of tokamaks. Current driven with HHFW in EAST tokamak plasmas is numerically studied. The HHFW CD efficiency is found to increase non-monotonically with the wave frequency, and this phenomenon is attributed to the multi-pass absorption of HHFW. The sensitivity of CD efficiency to the value of the parallel refraction index of the launched wave is confirmed. The quasilinear effects, assessed as significant in HHFW current drive with the GENRAY/CQL3D package, cause a significant increase in CD efficiency as RF power is increased, which is very different from helicon current drive. Simulations for a range of toroidal dc electric fields, in combination with a range of fast wave powers, are also presented and indicate that the presence of the DC field can also enhance the CD efficiency.

1.
M.
Ono
,
Phys. Plasmas
2
,
4075
(
1995
).
2.
C. C.
Petty
,
F. W.
Baity
,
J. S.
deGrassie
,
T. K.
Mau
,
R. I.
Pinsker
,
M.
Porkolab
, and
R.
Prater
,
Plasma Phys. Controlled Fusion
43
,
1747
(
2001
).
3.
J.
Hosea
,
R. E.
Bell
,
B. P.
LeBlanc
,
C. K.
Phillips
,
G.
Taylor
,
E.
Valeo
,
J. R.
Wilson
,
E. F.
Jaeger
,
P. M.
Ryan
,
J.
Wilgen
,
H.
Yuh
,
F.
Levinton
,
S.
Sabbagh
,
K.
Tritz
,
J.
Parker
,
P. T.
Bonoli
,
R.
Harvey
, and
NSTX Team
,
Phys. Plasmas
15
,
056104
(
2008
).
4.
C. C.
Petty
,
R. I.
Pinsker
,
M. E.
Austin
,
F. W.
Baity
,
S. C.
Chiu
,
J. S.
DeGrassie
,
C. B.
Forest
,
R. H.
Goulding
,
R. W.
Harvey
,
D. J.
Hoffman
,
R. A.
James
,
T. C.
Luce
,
M.
Porkolab
, and
R.
Prater
,
Nucl. Fusion
35
,
773
(
1995
).
5.
J. R.
Wilson
,
R. E.
Bell
,
S.
Bernabei
,
M.
Bitter
,
P.
Bonoli
,
D.
Gates
,
J.
Hosea
,
B.
LeBlanc
,
T. K.
Mau
,
S.
Medley
,
J.
Menard
,
D.
Mueller
,
M.
Ono
,
C. K.
Phillips
,
R. I.
Pinsker
,
R.
Raman
,
A.
Rosenberg
,
P.
Ryan
,
S.
Sabbagh
,
D.
Stutman
,
D.
Swain
,
Y.
Takase
,
J.
Wilgen
, and
the NSTX Team
,
Phys. Plasmas
10
,
1733
(
2003
).
6.
C. C.
Petty
,
R. I.
Pinsker
,
M. J.
Mayberry
,
M.
Porkolab
,
F. W.
Baity
,
P. T.
Bonoli
,
S. C.
Chiu
,
J. C. M.
de Haas
,
R. H.
Goulding
,
D. J.
Hoffman
,
T. C.
Luce
, and
R.
Prater
,
Phys. Rev. Lett.
69
,
289
(
1992
).
7.
R. I.
Pinsker
,
Fusion Sci. and Technol.
48
,
1238
(
2005
).
8.
C. C.
Petty
,
F. W.
Baity
,
J. S.
deGrassie
,
C. B.
Forest
,
T. C.
Luce
,
T. K.
Mauc
,
M.
Murakamia
,
R. I.
Pinsker
,
P. A.
Politzer
,
M.
Porkolab
, and
R.
Prater
,
Nucl. Fusion
39
,
1421
(
1999
).
9.
R. I.
Pinsker
,
M.
Porkolab
,
W. W.
Heidbrink
,
Y.
Luo
,
C. C.
Petty
,
R.
Prater
,
M.
Choi
,
D. A.
Schaffner
,
F. W.
Baity
,
E.
Fredd
,
J. C.
Hosea
,
R. W.
Harvey
,
A. P.
Smirnov
,
M.
Murakami
, and
M. A.
Van Zeeland
,
Nucl. Fusion
46
,
S416
(
2006
).
10.
R. I.
Pinsker
,
M. E.
Austin
,
S. J.
Diem
,
E. J.
Doyle
,
B. A.
Grierson
,
J. C.
Hosea
,
G. L.
Jackson
,
M. C.
Kaufman
,
T. C.
Luce
,
R.
Maggiora
,
D.
Milanesio
,
A.
Nagy
,
R.
Perkins
,
P. A.
Politzer
,
M.
Porkolab
,
P. M.
Ryan
,
W. M.
Solomon
,
G.
Taylor
,
F.
Turco
, and
L.
Zeng
,
AIP Conf. Proc.
1580
,
183
(
2014
).
11.
G.
Taylor
,
P. T.
Bonoli
,
R. W.
Harvey
,
J. C.
Hosea
,
E. F.
Jaeger
,
B. P.
LeBlanc
,
C. K.
Phillips
,
P. M.
Ryan
,
E. J.
Valeo
,
J. R.
Wilson
,
J. C.
Wright
, and
the NSTX Team
,
38th EPS Conference on Plasma Physics
(
AIP Publishing
,
2011
), p.
P5.095
.
12.
G.
Taylor
,
J. C.
Hosea
,
C. E.
Kessel
,
B. P.
LeBlanc
,
D.
Mueller
,
C. K.
Phillips
,
E. J.
Valeo
,
J. R.
Wilson
,
P. M.
Ryan
,
P. T.
Bonoli
,
J. C.
Wright
, and
R. W.
Harvey
,
Phys. Plasmas
19
,
042501
(
2012
).
13.
T. K.
Mau
,
P. M.
Ryan
,
M. D.
Carter
,
E. F.
Jaeger
,
D. W.
Swain
,
C. K.
Phillips
,
S.
Kaye
,
B. P.
LeBlanc
,
A. L.
Rosenberg
,
J. R.
Wilson
,
R. W.
Harvey
,
P.
Bonoli
, and
the NSTX Team, Modeling of HHFW Heating and Current Drive on NSTX with Ray Tracing and Adjoint Techniques[C]
,
Radio Frequency Power in Plasmas: 15th Topical Conference on Radio Frequency Power in Plasmas
(
AIP Publishing
,
2003
), Vol.
694
, p.
205
.
14.
J.
Li
and
B.
Wan
for the EAST Team and International Collaborators,
Nucl. Fusion
51
,
094007
(
2011
).
15.
X. J.
Zhang
,
Y. P.
Zhao
,
B. N.
Wan
,
Y. Z.
Mao
,
S.
Yuan
,
D. Y.
Xue
,
L.
Wang
,
J. Y.
Ding
,
S. Q.
Ju
,
C. M.
Qin
,
C. H.
Wang
,
J. S.
Shen
,
Y. T.
Song
,
Y.
Lin
,
J. G.
Li
,
Y.
Chen
, and
EAST Group
,
2010 Proceedings of the 23rd International Conference on Fusion Energy
(Daejeon, Republic of Korea,
2010
) (Vienna: IAEA), available at: http://www-pub.iaea.org/mtcd/meetings/PDFplus/2010/cn180/cn180 papers/exw p7-30.pdf.
16.
X. J.
Zhang
,
Y. P.
Zhao
,
B. N.
Wan
,
X. Z.
Gong
,
Y. Z.
Mao
,
S.
Yuan
,
D. Y.
Xue
,
L.
Wang
,
C. M.
Qin
,
S. Q.
Ju
,
Y.
Chen
,
J. P.
Qian
,
L.
Hu
,
J. G.
Li
,
Y. T.
Song
,
Y.
Lin
,
S.
Wukitch
,
J. M.
Noterdaeme
,
R.
Kumazawa
,
T.
Seki
,
K.
Saito
, and
H.
Kasahara
,
Nucl. Fusion
52
,
032002
(
2012
).
17.
T. H.
Stix
,
Theory of Plasma Waves
, 2nd ed. (
Wiley
,
New York
,
1992
).
18.
S. C.
Chiu
,
V. C.
Chen
,
R. W.
Harvey
, and
M.
Porkolab
, “
Theory of fast wave current drive for tokamak plasma
,”
Nucl. Fusion
29
,
21750
(
1989
).
19.
D. A.
Ehst
and
C. F. F.
Karney
,
Nucl. Fusion
31
,
1933
(
1991
).
20.
V. L.
Vdovin
, “
3D full wave code modeling of ICRF plasma heating in large stellarators
,”
28th European Conference on Controlled Fusion and Plasma Physics
(Madeira, Portugal,
2001
), poster 4.058, Vol 25A (
ECA
), p.
1541
.
21.
V. L.
Vdovin
,
Plasma Phys. Rep.
39
,
95
(
2013
).
22.
R.
Prater
,
C. P.
Moeller
,
R. I.
Pinsker
,
M.
Porkolab
,
O.
Meneghini
, and
V. L.
Vdovin
,
Nucl. Fusion
54
,
083024
(
2014
).
23.
R. W.
Harvey
and
A. P.
Smirnov
, The GENRAY Ray Tracing Code, CompX Report CompX-2000–01 (
2001
).
24.
L.
Lao
,
H. S.
John
,
R.
Stambaugh
,
A.
Kellman
, and
W.
Pfeiffer
,
Nucl. Fusion
25
,
1611
(
1985
).
25.
G. Q.
Li
,
Q. L.
Ren
,
J. P.
Qian
,
L. L.
Lao
,
S. Y.
Ding
,
Y. J.
Chen
,
Z. X.
Liu
,
B.
Lu
, and
Q.
Zang
,
Plasma Phys. Controlled Fusion
55
,
125008
(
2013
).
26.
R. W.
Harvey
and
M. G.
McCoy
, “
The CQL3D Fokker–Planck code
,”
Proceedings of IAEA TCM on Advances in Simulation and Modeling of Thermonuclear Plasmas
(Montreal, Canada,
1992
).
27.
C. C.
Petty
,
R.
Prater
,
T. C.
Luce
,
R. A.
Ellis
,
R. W.
Harvey
,
J. E.
Kinsey
,
L. L.
Lao
,
J.
Lohr
,
M. A.
Makowski
, and
K.-L.
Wong
,
Nucl. Fusion
43
,
700
(
2003
).
28.
J. C.
Li
,
X. Y.
Gong
,
J. Q.
Dong
,
P. W.
Zheng
,
S. D.
Song
,
Q. D.
Gao
, and
D.
Du
,
Phys. Plasmas
22
,
062512
(
2015
).
29.
R. A.
James
,
G.
Giruzzi
,
B.
de Gentile
,
L.
Rodriguez
,
R.
Harvey
,
J.
Lohr
,
T. C.
Luce
,
K.
Matsuda
,
C. P.
Moeller
,
R.
Prater
,
R.
Snider
,
A.
Fyakhretdinov
,
Yu.
Gorelov
,
V.
Trukhin
, and
S.
Janz
,
Phys. Rev. A
45
,
8783
(
1992
).
30.
M.
Shoucri
,
Y.
Peysson
, and
I.
Shkarofsky
, Numerical solution of the Fokker-Planck equation,
Report EUR-CEA-FC-1737
, Cadarache, June
2006
.
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