Optimized quasisymmetric stellarators are consistent with the Garren-Boozer construction

Abstract

Most quasisymmetric stellarators to date have been designed by numerically optimizing the plasma boundary shape to minimize symmetry-breaking Fourier modes of the magnetic field strength $B$. At high aspect ratio, a faster approach is to directly construct the plasma shape from the equations of quasisymmetry near the magnetic axis derived by Garren and Boozer [Phys Fluids B 3, 2805 (1991)]. Here we show that the core shape and rotational transform of many optimization-based configurations can be accurately described by this direct-construction approach. This consistency supports use of the near-axis construction as an accurate analytical model for modern stellarator configurations.

References in corpus (4)

• Properties of a new quasi-axisymmetric configuration
• Direct construction of optimized stellarator shapes. I. Theory in cylindrical coordinates
• Direct construction of optimized stellarator shapes. II. Numerical quasisymmetric solutions
• Quasi-axisymmetric magnetic fields: weakly non-axisymmetric case in a vacuum

Cited by in corpus (10)

• Constructing stellarators with quasisymmetry to high order
• Near-Axis Expansion of Stellarator Equilibrium at Arbitrary Order in the Distance to the Axis
• Magnetic well and Mercier stability of stellarators near the magnetic axis
• A single-field-period quasi-isodynamic stellarator
• The Use of Near-Axis Magnetic Fields for Stellarator Turbulence Simulations
• Figures of merit for stellarators near the magnetic axis
• Vacuum magnetic fields with exact quasisymmetry near a flux surface. Part 1: Solutions near an axisymmetric surface
• Ion-temperature-gradient stability near the magnetic axis of quasisymmetric stellarators
• The On-Axis Magnetic Well and Mercier's Criterion for Arbitrary Stellarator Geometries
• The shear Alfvén continuum of quasisymmetric stellarators