@article{1,
  keywords = {Plasma Physics},
  author = {Gabriel Plunk and Matt Landreman and Per Helander},
  title = {Direct construction of optimized stellarator shapes. Part 3. Omnigenity near the magnetic~axis *},
  abstract = { <p>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.</p>
 },
  year = {2019},
  journal = {Journal of Plasma Physics},
  volume = {85},
  month = {11/2019},
  issn = {1469-7807},
  url = {http://dx.doi.org/10.1017/S002237781900062X},
  doi = {10.1017/s002237781900062x},
  language = {eng},
}