Minimizing Separatrix Crossings through Isoprominence

Abstract

A simple property of magnetic fields that minimizes bouncing to passing type transitions of guiding center orbits is defined and discussed. This property, called isoprominence, is explored through the framework of a near-axis expansion. It is shown that isoprominent magnetic fields for a toroidal configuration exist to all orders in a formal expansion about a magnetic axis. Some key geometric features of these fields are described.

17 pages, 7 figures

References in corpus (5)

• Magnetic fields with precise quasisymmetry for plasma confinement
• Less constrained omnigeneous stellarators
• Normal stability of slow manifolds in nearly-periodic Hamiltonian systems
• Isodrastic Magnetic fields for suppressing transitions in guiding-centre motion
• Normal Forms and Near-Axis Expansions for Beltrami Magnetic Fields