Magnetic shear: Difference between revisions

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Thus, in 3 dimensions, the shear is a 3 x 3 tensor.
Thus, in 3 dimensions, the shear is a 3 x 3 tensor.
== Rotational transform ==
In the context of magnetic confinement, and assuming the existence of toroidally nested magnetic [[Flux surface|flux surfaces]], the only relevant variation of the direction of the magnetic field is the radial gradient of the '''rotational transform''' (field line pitch). The latter is defined as
:<math>\frac{\iota}{2 \pi} = \frac{d \psi}{d \phi}</math>
where ''&psi;'' is the poloidal magnetic flux, and ''&phi;'' the toroidal magnetic flux.
Thus, ''&iota;/2&pi;'' is the mean number of toroidal transits (''n'') divided by the
mean number of poloidal transits (''m'') of a field line on a flux surface.
In tokamak research, the quantity ''q = 2&pi;/&iota;'' is preferred (called the "safety factor").


== Global magnetic shear ==
== Global magnetic shear ==


In the context of magnetic confinement, and assuming the existence of toroidally nested magnetic [[Flux surface|flux surfaces]], the only relevant variation of the direction of the magnetic field is the radial gradient of the [[Rotational transform|rotational transform]].
The global magnetic shear is defined as
The global magnetic shear is defined as


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== See also ==
== See also ==


* [[Rotational transform]]
* [[Connection length]]
* [[Connection length]]


== References ==
== References ==
<references />
<references />

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