Time-resolved biphase signatures of quadratic nonlinearity observed in coupled Alfvén eigenmodes on the DIII-D tokamak

G. Riggs, M. Koepke, W. Heidbrink, M. A. Van Zeeland, D. Spong

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Abstract

We report the detection of nonstationary quadratic coupling between toroidicity-induced Alfvén eigenmodes (TAEs) on sub-millisecond time scales. Identification of phase coherency between multiple TAEs and nonlinearly generated modes is facilitated by wavelet-based bicoherence analysis of time-series from inductive coils, taken from a DIII-D discharge heated by neutral beam injection (NBI). Characterization of nonlinear three-wave interaction is inferred by stationary local bispectrum phase (biphase) and confirmed via bandpass filtering. Biphase dynamics associated with prominent bispectral features are well-resolved in time and consistent with transient quadratic coupling. Onset and duration of nonlinearity are correlated with enhanced amplitude of participating TAEs; coincident changes in amplitude are observed for modes at difference frequency | f TAE , 1 − f TAE , 2 | .

Original languageEnglish
Article number042305
JournalPhysics of Plasmas
Volume31
Issue number4
DOIs
StatePublished - Apr 1 2024

Funding

This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of Fusion Energy Sciences, using the DIII-D National Fusion Facility, a DOE Office of Science user facility, under Award(s) DE-NA0003874, DE-SC0021404, and DE-FC02-04ER54698. G.R. and M.K. express deep gratitude to the DIII-D team for necessary support and impactful collaboration during this project.

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