Toroidal coordinates: Difference between revisions

Toroidal coordinates (view source)

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 == Magnetic ==
-See [[Flux surface]]. All of the above coordinate systems are ''fixed''.
+All of the above coordinate systems are ''fixed''.
-By contrast, magnetic coordinates ''adapt'' to the magnetic field, and therefore to the [[MHD equilibrium]]. Magnetic coordinates simplify the description of the magnetic field.
+By contrast, magnetic coordinates ''adapt'' to the magnetic field, and therefore to the [[MHD equilibrium]] (also see [[Flux surface]]). Magnetic coordinates simplify the description of the magnetic field.
 * Hamada coordinates. <ref>S. Hamada, Nucl. Fusion '''2''' (1962) 23</ref><ref>[http://dx.doi.org/10.1063/1.1706651 J.M. Greene and J.L Johnson, ''Stability Criterion for Arbitrary Hydromagnetic Equilibria'', Phys. Fluids '''5''' (1962) 510]</ref> In these coordinates, both the field lines and current lines corresponding to the [[MHD equilibrium]] are straight.
 * Boozer coordinates. <ref>[http://dx.doi.org/10.1063/1.863297 A.H. Boozer, ''Plasma equilibrium with rational magnetic surfaces'', Phys. Fluids '''24''' (1981) 1999]</ref><ref>[http://dx.doi.org/10.1063/1.863765 A.H. Boozer, ''Establishment of magnetic coordinates for a given magnetic field'', Phys. Fluids '''25''' (1982) 520]</ref> In these coordinates, the field lines corresponding to the [[MHD equilibrium]] are straight.