# Magnetic Fields with General Omnigenity

arXiv: https://arxiv.org/abs/2305.08026 · HTML: https://mlsanity.com/paper/2305.08026/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 14 May 2023.

## Built on by (most cited first, 2 of 2)

- [ConStellaration: A dataset of QI-like stellarator plasma boundaries and optimization benchmarks](https://mlsanity.com/paper/2506.19583/) (2025)
- [Improving ideal MHD equilibrium accuracy with physics-informed neural networks](https://mlsanity.com/paper/2507.03119/) (2025)

## Abstract (arXiv)

Omnigenity is a desirable property of toroidal magnetic fields that ensures confinement of trapped particles. Confining charged particles is a basic requirement for any fusion power plant design, but it can be difficult to satisfy with the non-axisymmetric magnetic fields used by the stellarator approach. Every ideal magnetohydrodynamic equilibrium previously found to approximate omnigenity has been either axisymmetric, quasi-symmetric or has poloidally closed contours of magnetic field strength B. However, general omnigenous equilibria are a much larger design space than these subsets. A new model is presented and employed in the DESC stellarator optimization suite to represent and discover the full parameter space of omnigenous equilibria. Although exact omnigenity aside from quasi-symmetry is impossible, these results reveal that excellent particle confinement can be achieved in practice. Examples far from quasi-symmetry with poloidally, helically and toroidally closed B contours are attained with DESC and shown to have low neoclassical collisional transport and fast particle losses.