Work

Application of Lagrangian techniques for calculating the on-axis rotational transform

Year: 2025

Type: article

Abstract: The Floquet exponents of periodic field lines are studied through the variations of the magnetic action on the magnetic axis, which is assumed to be elliptical. The near-axis formalism developed by Mercier, Solov'ev and Shafranov is combined with a Lagrangian approach. The on-axis Floquet exponent is shown to coincide with the on-axis rotational transform. A discrete solution suitable for numerical implementation is introduced, which gives the Floquet exponents as solutions to an eigenvalue problem. This discrete formalism expresses the exponents as the eigenvalues of a $6\times 6$ matrix.

Source: Journal of Plasma Physics

DOI: 10.1017/s0022377824001648

Authors: S. Guinchard, W. Sengupta, S.R. Hudson

Institutions: Princeton Plasma Physics Laboratory, Princeton University

Language: English

Topic: Magnetic confinement fusion research

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,550