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Magnetic Fields and Magnetic Diagnostics for Tokamak Plasmas

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<strong>Magnetic</strong> fields <strong>and</strong> tokamak plasmas<br />

Alan Wootton<br />

B r (T)<br />

bottom<br />

outside<br />

inside<br />

θ (rad)<br />

top<br />

B (T)<br />

θ<br />

inside<br />

top<br />

θ (rad)<br />

outside<br />

Figure 6.14. The field components B r <strong>and</strong> B θ on a contour with minor radius 0.3m<br />

placed outside <strong>and</strong> concentric with the plasma described in Figure 6.13.<br />

More complicated configurations.<br />

It is easy to make non circular cross sectioned plasmas. Adding a quadrupole field produces an<br />

elliptic de<strong>for</strong>mation. Adding a hexapole field produces a triangular de<strong>for</strong>mation. There are some<br />

analytic expressions available <strong>for</strong> non circular cross sections, but in general numerical solutions<br />

to the basic Grad Shafranov equation must be used.<br />

69

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