Direct construction of optimized stellarator shapes. III. Omnigenity near the magnetic axis
Plasma Physics
2020-01-08 v1
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.
Keywords
Cite
@article{arxiv.1909.08919,
title = {Direct construction of optimized stellarator shapes. III. Omnigenity near the magnetic axis},
author = {G. G. Plunk and M. Landreman and P. Helander},
journal= {arXiv preprint arXiv:1909.08919},
year = {2020}
}