Abstract

Intense bursts of suprathermal radiation, with spectral peaks at frequencies corresponding to the deuteron cyclotron frequency in the outer midplane edge region, are often detected from deuterium plasmas in the KSTAR tokamak that are heated by tangential neutral beam injection (NBI) of deuterons at 100 keV. Identifying the physical process by which this deuterium ion cyclotron emission (ICE) is generated, typically during the crash of edge localised modes, assists the understanding of collective energetic ion behaviour in tokamak plasmas. In the context of KSTAR deuterium plasmas, it is also important to distinguish deuterium ICE from the ICE at cyclotron harmonics of fusion-born protons examined by Chapman et al (2017 Nucl. Fusion 57 124004; 2018 Nucl. Fusion 58 096027). We use particle orbit studies in KSTAR-relevant magnetic field geometry, combined with a linear analytical treatment of the magnetoacoustic cyclotron instability (MCI), to identify the sub-population of freshly ionised NBI deuterons that is likely to excite deuterium ICE. These deuterons are then represented as an energetic minority, together with the majority thermal deuteron population and electrons, in first principles kinetic particle-in-cell (PIC) computational studies. By solving the Maxwell–Lorentz equations directly for hundreds of millions of interacting particles with resolved gyro-orbits, together with the self-consistent electric and magnetic fields, the PIC approach enables us to study the collective relaxation of the energetic deuterons through the linear phase and deep into the saturated regime. The Fourier transform of the excited fields displays strong spectral peaks at multiple successive deuteron cyclotron harmonics, mapping well to the observed KSTAR deuterium ICE spectra. This outcome, combined with the time-evolution of the energy densities of the different particle populations and electric and magnetic field components seen in the PIC computations, supports our identification of the driving sub-population of NBI deuterons, and the hypothesis that its relaxation through the MCI generates the observed deuterium ICE signal. We conclude that the physical origin of this signal in KSTAR is indeed distinct from that of KSTAR proton ICE, and is in the same category as the NBI-driven ICE seen notably in the TFTR tokamak and LHD heliotron–stellarator plasmas. ICE has been proposed as a potential passive diagnostic of energetic particle populations in ITER plasmas; this is assisted by clarifying and extending the physics basis of ICE in contemporary magnetically confined plasmas.

Highlights

  • In magnetically confined fusion (MCF) plasmas, the measured power spectrum of ion cyclotron emission (ICE) typically exhibits multiple narrow peaks whose frequencies are identified with sequential cyclotron harmonics of ions in the emitting region

  • In this paper we have combined the linear analytical theory of the magnetoacoustic cyclotron instability (MCI), energetic particle orbit studies, and first principles PIC simulations which self-consistently solve the Maxwell– Lorentz equations for fully kinetic ion and electron populations. This has enabled us to provide an explanation for the origin of ICE at multiple deuterium cyclotron harmonics, which is observed in KSTAR deuterium plasmas heated by deuteron neutral beam injection (NBI)

  • We first identified a small subset of the NBI deuteron population that could be responsible for the emission

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Summary

Introduction

In magnetically confined fusion (MCF) plasmas, the measured power spectrum of ion cyclotron emission (ICE) typically exhibits multiple narrow peaks whose frequencies are identified with sequential cyclotron harmonics of ions in the emitting region. There are two main distinct phases: spectral lines at multiple harmonics of the local ion cyclotron frequency at the outer midplane edge pedestal of the KSTAR plasma, at times ∼10 μs to 100 μs before the ELM crash; and broadband RF emission, sometimes chirping in frequency, during the pedestal collapse following the filament burst [41]. The outputs of these simulations are compared with observed ICE power spectra from KSTAR plasmas.

Identifying NBI deuterons in KSTAR that could relax via the MCI
Comparison between kinetic simulations and experiment
Conclusions
Full Text
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