Ridges in quasisymmetric stellarators are field-line caustics arising from the eikonal equation, and filamentary coils must lie on the zero-determinant manifold of the magnetic gradient tensor.
I.1990 Huygens and Barrow, Newton and Hooke: pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals
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Optical analogy for stellarators: Ridges as caustics and coils as singularities
Ridges in quasisymmetric stellarators are field-line caustics arising from the eikonal equation, and filamentary coils must lie on the zero-determinant manifold of the magnetic gradient tensor.