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Ellipticity: Difference between revisions
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[[File:Geometry.png|400px|thumb|right|Sketch of tokamak geometry]] | [[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]]. | The ellipticity refers to the shape of the poloidal cross section of the Last Closed [[Flux surface]] or [[separatrix]] of a [[tokamak]]. | ||
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 == | == See also == | ||
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* [[Toroidal coordinates]] | * [[Toroidal coordinates]] | ||
* [[Effective plasma radius]] | * [[Effective plasma radius]] | ||
== References == | |||
<references /> | |||