Adjoint methods for quasi-symmetry of vacuum fields on a surface

Richard Nies, Elizabeth J. Paul, Stuart R. Hudson, Amitava Bhattacharjee

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Adjoint methods can speed up stellarator optimisation by providing gradient information more efficiently compared with finite-difference evaluations. Adjoint methods are herein applied to vacuum magnetic fields, with objective functions targeting quasi-symmetry and a rotational transform value on a surface. To measure quasi-symmetry, a novel way of evaluating approximate flux coordinates on a single flux surface without the assumption of a neighbourhood of flux surfaces is proposed. The shape gradients obtained from the adjoint formalism are evaluated numerically and verified against finite-difference evaluations.

Original languageEnglish (US)
Article number905880106
JournalJournal of Plasma Physics
Issue number1
StatePublished - Feb 21 2022

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics


  • Fusion plasma
  • Plasma confinement
  • Plasma devices


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