Study of nonlinear mode–mode couplings between Alfvénic modes by the Fourier bicoherence and Lissajous-curve technique in HL-2A

Yumei HOU (侯玉梅); Wei CHEN (陈伟); Yi YU (余羿); Xuru DUAN (段旭如); Min XU (许敏); Minyou YE (叶民友); HL-A Team

doi:10.1088/2058-6272/ab08fe

Plasma Science and Technology > 2019 > 21(7): 75101-075101. > DOI: 10.1088/2058-6272/ab08fe

Yumei HOU (侯玉梅), Wei CHEN (陈伟), Yi YU (余羿), Xuru DUAN (段旭如), Min XU (许敏), Minyou YE (叶民友), HL-A Team. Study of nonlinear mode–mode couplings between Alfvénic modes by the Fourier bicoherence and Lissajous-curve technique in HL-2A[J]. Plasma Science and Technology, 2019, 21(7): 75101-075101. DOI: 10.1088/2058-6272/ab08fe

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Study of nonlinear mode–mode couplings between Alfvénic modes by the Fourier bicoherence and Lissajous-curve technique in HL-2A

¹ School of Physical Sciences, University of Science and Technology of China, Hefei 230026, People’s Republic of China
² Southwestern Institute of Physics, Chengdu 610041, People’s Republic of China

Funds: This work is supported in part by National Natural Science Foundation of China (Nos. 11875021, 11835010, 11875024, 11775072, 11505053, 11475058) and by the ITER-CN (Nos. 2017YFE0300501, 2017YFE0300405, 2017YFE0301202 and 2017YFE030168).

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Received Date: October 11, 2018

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Abstract

Abstract

Nonlinear couplings of various Alfvén modes driven by energetic particles in HL-2A are addressed by employing the Fourier bicoherence and Lissajous-curve technique. Long-lived modes and high-frequency coherent modes are presented. Then the squared bicoherence of three waves establishes the existence of three-wave coupling. Lissajous-curves of those waves manifest that their phases are locked, which again confirms that they are nonlinearly coupled to each other. Moreover, coupled modes triggered by supersonic molecular beam injection are investigated. The phase evolution of them is given by the Lissajous-curve. Further details of phase-flip and phase-slip are presented and discussed.
- nonlinear mode-mode coupling,
- Alfvén modes,
- Fourier bicoherence,
- Lissajous-curve

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Study of nonlinear mode–mode couplings between Alfvénic modes by the Fourier bicoherence and Lissajous-curve technique in HL-2A