The confinement and stability properties of toroidal plasma equilibria are largely determined by the strength of the magnetic field expressed in terms of Boozer coordinates. Constraints due to the toroidicity of the configuration and the divergence‐free property of the magnetic field limit the freedom in the Taylor series expansion of the magnetic field strength. Such field strength constraints limit the variety of desirable three‐dimensional plasma equilibria that are available to the fusion program.

1.
A. H.
Boozer
,
Phys. Fluids
27
,
2441
(
1984
).
2.
A. H.
Boozer
,
Phys. Fluids
24
,
1999
(
1981
).
3.
A. H.
Boozer
,
Phys. Fluids
26
,
496
(
1983
).
4.
J.
Nührenberg
and
R.
Zille
,
Phys. Lett. A
129
,
113
(
1988
).
5.
D.
Palumbo
,
Nuovo Cimento B
XS3
,
507
(
1968
).
6.
L. S.
Hall
and
B.
McNamara
,
Phys. Fluids
18
,
552
(
1975
).
7.
P. J.
Catto
and
R. D.
Hazeltine
,
Phys. Fluids
24
,
1663
(
1981
).
8.
J. A.
Rome
and
Y.-K. M.
Peng
,
Nucl. Fusion
19
,
1193
(
1979
).
9.
J. B. Taylor, 1985 Sherwood Theory Conference (University of Wisconsin, Madison, Wisconsin, 1985), Paper 1C3.
10.
M. P. Bernardin, Ph.D. dissertation, University of Wisconsin, 1985.
11.
P. J.
Channel
,
Phys. Fluids
29
,
161
(
1986
).
12.
M. P.
Bernardin
,
R. W.
Moses
, and
J. A.
Tataronis
,
Phys. Fluids
29
,
2605
(
1986
).
13.
C.
Mercier
,
Nucl. Fusion
4
,
213
(
1964
).
14.
D.
Lortz
and
J.
Nührenberg
,
Z. Naturforsch.
31a
,
1277
(
1976
).
15.
D.
Lortz
and
J.
Nührenburg
,
Nucl. Fusion
17
,
125
(
1977
).
16.
D.
Lortz
and
J.
Nührenberg
,
Z. Naturforsch.
34a
,
167
(
1979
).
17.
L. S. Solov’ev and V. D. Shafranov, in Reviews of Plasma Physics, edited by M. A. Leontovich (Consultants Bureau, New York, 1970), Vol. 5, p. 1.
18.
M. P.
Bernardin
and
J. A.
Tataronis
,
J. Math. Phys.
26
,
2370
(
1985
).
19.
K. S.
Riedel
,
Phys. Fluids
31
,
890
(
1988
).
20.
R. B. White, Theory of Tokamak Plasmas (North-Holland, Amsterdam, 1989), p. 6.
21.
M. D.
Kruskal
and
R. M.
Kulsrud
,
Phys. Fluids
1
,
265
(
1958
).
22.
G.
Kuo-Petravic
and
A. H.
Boozer
,
Comput. Phys.
73
,
107
(
1987
).
23.
J. Mathews and R. L. Walker, Mathematical Methods of Physics (Benjamin, New York, 1970), 2nd ed., p. 408.
24.
L.
Spitzer
Jr.
,
Phys. Fluids
1
,
253
(
1958
).
25.
D. A.
Garren
and
A. H.
Boozer
,
Phys. Fluids B
3
,
2822
(
1991
).
26.
J. Nührenberg and R. Zille, Theory of Fusion Plasmas (Societa Italiana di Fisica, Bologna, Italy, 1988), p. 3.
27.
A. H.
Boozer
and
H.
Gardner
,
Phys. Fluids B
2
,
2408
(
1990
).
This content is only available via PDF.
You do not currently have access to this content.