Spiral magnetic configurations with minimum B

Abstract
A general survey is given of magnetic configurations with minimum B, possessing helical symmetry. An approximate analytical expression is derived for the volume per unit flux V'(Φ) in the neighbourhood of the helical magnetic axis. Exact formulae for V' (Φ) and the mean rotational transform angle ι = 2πχ' (Φ) are expressed as single integrals. On the basis of numerical computation of these integrals, graphs of V' (Φ) and χ'(Φ) up to the separatrix of the magnetic surfaces are constructed.

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