Direct construction of optimized stellarator shapes. Part 3. Omnigenity near the magnetic axis *

Publication Year
2019
Keywords
Abstract

The condition of omnigenity is investigated, and applied to the near-axis expansion of Garren and Boozer (1991a). Due in part to the particular analyticity requirements of the near-axis expansion, we find that, excluding quasi-symmetric solutions, only one type of omnigenity, namely quasi-isodynamicity, can be satisfied at first order in the distance from the magnetic axis. Our construction provides a parameterization of the space of such solutions, and the cylindrical reformulation and numerical method of Landreman and Sengupta (2018); Landreman et al. (2019), enables their efficient numerical construction.

Journal
Journal of Plasma Physics
Volume
85
Issue
6
Date Published
11/2019
ISSN Number
1469-7807
Other Numbers
https://arxiv.org/abs/1909.08919