Generalized Boozer coordinates: a natural coordinate system for quasisymmetry

Abstract

We prove the existence of a straight-field-line coordinate system we call generalized Boozer coordinates. This coordinate system exists for magnetic fields with nested toroidal flux surfaces} provided $\oint \mathrm{d}l/B(\mathbf{j}\cdot \nabla \psi )=0$, where symbols have their usual meaning, and the integral is taken along closed magnetic field lines. All quasisymmetric fields, regardless of their associated form of equilibria, must satisfy this condition. This coordinate system presents itself as a convenient form in which to describe general quasisymmetric configurations and their properties. Insight can be gained analytically into the difference between strong and weak forms of quasisymmetry, as well as axisymmetry, and the interaction of quasisymmetry with different forms of equilibria.

References in corpus (3)

• Necessary and Sufficient Conditions for Quasisymmetry
• Adjoint approach to calculating shape gradients for three-dimensional magnetic confinement equilibria. Part II: Applications
• Vacuum magnetic fields with exact quasisymmetry near a flux surface. Part 1: Solutions near an axisymmetric surface