Abstract
Using a toroidal coordinate system constructed from a framework of rotational quadratic-flux-minimizing surfaces with rational rotation number, an integrable magnetic field is constructed that is nearby a given non-integrable field. Straightfield-line coordinates for the constructed integrable magnetic field are computed. By considering the original magnetic field to be obtainable by a small perturbation to the integrable magnetic field, island widths can be estimated analytically. Since quadratic-flux-minimizing surfaces coincide with flux surfaces when they exist, the constructed coordinates may be designed to reduce to straight-field-line coordinates for the given magnetic field in regions of good magnetic surfaces. The coordinates are illustrated using a magnetic field from the PIES code.
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