Ellipticity: Difference between revisions

Revision as of 15:15, 17 June 2014

Sketch of tokamak geometry

The ellipticity refers to the shape of the poloidal cross section of the Last Closed Flux surface or separatrix of a tokamak.

Assuming^[1]:

The ellipticity is then defined as follows:

\kappa =(Z_{max}-Z_{min})/2a

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 [[File:Geometry.png|400px|thumb|right|Sketch of tokamak geometry]]
 The ellipticity refers to the shape of the poloidal cross section of the Last Closed [[Flux surface]] or [[separatrix]] of a [[tokamak]].
-It is defined as the maximum vertical height of the cross section (2''b'') divided by the maximum horizontal width of the cross section (2''a'').
+Assuming<ref>T.C. Luce, [[doi:10.1088/0741-3335/55/9/095009|Plasma Phys. Control. Fusion '''55''' (2013) 095009 ]]</ref>:
+* ''R<sub>max</sub>'' is the maximum value of ''R'' along the LCFS or separatrix.
+* ''R<sub>min</sub>'' is the minimum value of ''R'' along the LCFS or separatrix.
+* ''Z<sub>max</sub>'' is the maximum value of ''Z'' along the LCFS or separatrix.
+* ''Z<sub>min</sub>'' is the minimum value of ''Z'' along the LCFS or separatrix.
+* ''a'' is the minor radius of the plasma, defined as ''(R<sub>max</sub> - R<sub>min</sub>)/2''.
+The ellipticity is then defined as follows:
+:<math> \kappa = (Z_{max}-Z_{min})/2a</math>
 == See also ==
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 * [[Toroidal coordinates]]
 * [[Effective plasma radius]]
+== References ==
+<references />