PPPL-3960 is available in <a href="PPPL-3960.pdf">pdf</a> format (900 KB).

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<b>Analytic, High-beta Solutions of the Helical Grad-Shafranov Equation</b>
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<b>Authors:</b> D.R. Smith and A.H. Reiman
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<b>Date of PPPL Report:</b> May 2004
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<b>Published in:</b> Phys of Plas <b>11</b>:8 (August 2004) 3752-3757
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We present analytic, high-beta [&beta; ~ O(1)] helical equilibrium solutions for a class of helical axis configurations having large helical aspect ratio, with the helix assumed to be tightly wound. The solutions develop a narrow boundary layer of strongly compressed flux, similar to that previously found in high-beta tokamak equilibrium solutions. The boundary layer is associated with a strong localized current which prevents the equilibrium from having zero net current.




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