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Direct construction of optimized stellarator shapes. III. Omnigenity near the magnetic axis
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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.
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Constructing stellarators with quasisymmetry to high order
A second-order near-axis expansion is used to rapidly construct quasisymmetric stellarator configurations with record-low symmetry-breaking and the first numerical confirmation of the 1/A^3 scaling.
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