Stellarator symmetry: Difference between revisions
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(Created page with 'Stellarator symmetry is a property of typical stellarator magnetic configurations. In a cylindrical coordinate system, it is expressed as…') |
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:<math>\left ( B_R, B_\phi, B_Z \right )_{(R,\phi,Z)} = \left ( -B_R, B_\phi, B_Z \right )_{(R,-\phi,-Z)}</math> | :<math>\left ( B_R, B_\phi, B_Z \right )_{(R,\phi,Z)} = \left ( -B_R, B_\phi, B_Z \right )_{(R,-\phi,-Z)}</math> | ||
With ''N''-fold rotation symmetry around the ''Z'' axis, there are ''2N'' such planes. <ref>[http://dx.doi.org/10.1016/S0167-2789(97)00216-9 R.L. Dewar, S.R. Hudson, ''Stellarator symmetry'', | With ''N''-fold rotation symmetry around the ''Z'' axis, there are ''2N'' such planes. <ref>[http://dx.doi.org/10.1016/S0167-2789(97)00216-9 R.L. Dewar, S.R. Hudson, ''Stellarator symmetry'', Physica D, '''112''' (1998) 275]</ref> | ||
== References == | == References == | ||
<references/> | <references/> | ||
Revision as of 12:57, 12 June 2010
Stellarator symmetry is a property of typical stellarator magnetic configurations. In a cylindrical coordinate system, it is expressed as follows for a scalar field:
with respect to the symmetry plane φ = 0. Likewise, for a vector field:
With N-fold rotation symmetry around the Z axis, there are 2N such planes. [1]