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Using analytic calculations, the effects of the edge flux surface shape andthe toroidal current profile on the penetration of flux surface shaping areinvestigated in a tokamak. It is shown that the penetration of shaping isdetermined by the poloidal variation of the poloidal magnetic field on thesurface. This fact is used to investigate how different flux surface shapespenetrate from the edge. Then, a technique to separate the effects of magneticpressure and tension in the Grad-Shafranov equation is presented and used tocalculate radial profiles of strong elongation for nearly constant currentprofiles. Lastly, it is shown that more hollow toroidal current profiles aresignificantly better at conveying shaping from the edge to the core.

Radial penetration of flux surface shaping in tokamaks