D'haeseleer W.D., Hitchon W.N.G., Callen J.D., Shohet J.L. Flux coordinates and magnetic field structure. A guide to a fundamental tool of plasma theory

Springer-Verlag, Berlin, Heidelberg, 1999. - 228 pp.
During the course of our research work on the theory of transport phenomena in tokamaks and stellarators, we learned to appreciate the convenience and utility of the special types of coordinate systems in which the magnetic field lines appear as straight lines. These so-called flux coordinates sweep, so to speak, the complexity of the magnetic-field stnicture "under the rug", and permit the user to concentrate on the (other) physical issues.Introduction and Overview.
Vector Algebra and Analysis in Curvilinear Coordinates.
Tensorial Objects.
Magnetic-Field-Stnicture-RelBted Concepts.
The Clebsch-iype Coordinate Systems.
Toroidal Flux Coordinates.
Conversion from Clebsch Coordinates to Toroidal Flux Coordinates.
Establishment of the Flux-Coordinate Thinsformation; A Summary.
Canonical Coordinates or "Generalized Magnetic Coordinates".
"Proper" Toroidal Coordinates.
The Dynamic Equilibrium of an Ideal Tolcamalc Plasma.
Tlie Relationsliip.
Alternative Derivations of tlie Divergence Formula.Subject Index.