Abstract

Ion cyclotron emission (ICE) is detected from all large toroidal magnetically confined fusion (MCF) plasmas. It is a form of spontaneous suprathermal radiation, whose spectral peak frequencies correspond to sequential cyclotron harmonics of energetic ion species, evaluated at the emission location. In ICE phenomenology, an important parameter is the value of the ratio of energetic ion velocity to the local Alfvén speed . Here we focus on ICE measurements from heliotron-stellarator hydrogen plasmas, heated by energetic proton neutral beam injection (NBI) in the large helical device, for which takes values both larger (super-Alfvénic) and smaller (sub-Alfvénic) than unity. The collective relaxation of the NBI proton population, together with the thermal plasma, is studied using a particle-in-cell (PIC) code. This evolves the Maxwell–Lorentz system of equations for hundreds of millions of kinetic gyro-orbit-resolved ions and fluid electrons, self-consistently with the electric and magnetic fields. For LHD-relevant parameter sets, the spatiotemporal Fourier transforms of the fields yield, in the nonlinear saturated regime, good computational proxies for the observed ICE spectra in both the super-Alfvénic and sub-Alfvénic regimes for NBI protons. At early times in the PIC treatment, the computed growth rates correspond to analytical linear growth rates of the magnetoacoustic cyclotron instability (MCI), which was previously identified to underlie ICE from tokamak plasmas. The spatially localised PIC treatment does not include toroidal magnetic field geometry, nor background gradients in plasma parameters. Its success in simulating ICE spectra from both tokamak and, here, heliotron-stellarator plasmas suggests that the plasma parameters and ion energetic distribution at the emission location largely determine the ICE phenomenology. This is important for the future exploitation of ICE as a diagnostic for energetic ion populations in MCF plasmas. The capability to span the super-Alfvénic and sub-Alfvénic energetic ion regimes is a generic challenge in interpreting MCF plasma physics, and it is encouraging that this first principles computational treatment of ICE has now achieved this.

Highlights

  • Suprathermal ion cyclotron emission [1, 2] (ICE) is detected from all large toroidal magnetic confinement fusion (MCF) plasmas including the tokamaks TFR [3], PDX [4], JET [5], TFTR [6], JT-60U [7], ASDEX-U [8], KSTAR [9], DIII-D [10] and the stellarators large helical device (LHD) [11, 12] and W7-AS [13]

  • ICE is notable as the first collective radiative instability driven by confined fusion-born ions that was observed in deuterium– tritium (D–T) plasmas in JET and TFTR [14,15,16,17]

  • It is evident that the time taken for the neutral beam injection (NBI) fast protons, which are not replenished, to relax, and for the instability which we identify below with the magnetoacoustic cyclotron instability (MCI) to unfold, saturates on time scales of between 10τH to 360τH

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Summary

Introduction

Suprathermal ion cyclotron emission [1, 2] (ICE) is detected from all large toroidal magnetic confinement fusion (MCF) plasmas including the tokamaks TFR [3], PDX [4], JET [5], TFTR [6], JT-60U [7], ASDEX-U [8], KSTAR [9], DIII-D [10] and the stellarators LHD [11, 12] and W7-AS [13]. In combination with other advanced diagnostics, notably for MHD activity, these ICE measurements from LHD, can yield fresh insights into the physics of energetic ions in magnetically confined fusion (MCF) plasmas We attribute this ICE to a neutral beam injected (NBI) proton population at energies ≈40 keV in the outer midplane edge regions of hydrogen plasmas in LHD [11, 12], where the local electron temperature Te ≈ 20 eV to 150 eV, number density ne ≈ 1019 m−3 and magnetic field strength B ≈ 0.5 T. These spectra were measured with an ICRF heating antenna in receiver mode. Important aspects of these two key features come together in the dimensionless parameter vEnergetic/VA, which is the ratio of energetic ion velocity vEnergetic to the local Alfvén speed VA

The wider experimental context and motivation
Analytical theory of the magnetoacoustic cyclotron instability
First principles numerical simulations of ICE
ICE measurements from NBI-heated LHD hydrogen plasmas
Direct numerical simulation of LHD ICE using a kinetic PIC-hybrid code
The PIC-hybrid approach
Physical and computational parameter sets
Distribution in velocity-space of the NBI protons
Results of PIC-hybrid simulations
Conclusions
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