PPPL-3904 is available in pdf format (2.8 MB).
Destruction of Invariant Surfaces and Magnetic Coordinates for Perturbed Magnetic Fields
Author: S.R. Hudson
Date of PPPL Report: November 2003
Published in: Physics of Plasmas 11:2 (February 2004) 677-685
Straight-field-line coordinates are constructed for nearly integrable magnetic fields. The coordinates are based on the robust, noble-irrational rotational-transform surfaces, whose existence is determined by an application of Greene's residue criterion. A simple method to locate these surfaces is described. Sequences of surfaces with rotational-transform converging to low order rationals maximize the region of straight-field-line coordinates.