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Modeling of the nonlinear mode coupling of lower hybrid waves in tokamak plasmas

机译：托卡马克等离子体中低杂波的非线性模式耦合建模

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摘要

A nonlinear wave equation is derived to describe the nonlinear mode coupling of lower hybrid (LH) waves launched in tokamak plasmas, driven by low-frequency (LF) (10 MHz) ion-sound evanescent modes (quasi-modes). The spectrum of the LF fluctuations is calculated considering the beating of the LH wave at the radiofrequency (RF) operating line frequency (pump wave) with the noisy background of the RF power generator. This spectrum is calculated in the frame of the kinetic theory, following a perturbative approach. Numerical solutions of the nonlinear LH wave equation show the evolution of the nonlinear mode coupling in condition of a finite depletion of the pump power. Under operating conditions generally met in the experiments, the sidebands, excited by the noise of RF power generators and amplified by the nonlinearity, broaden the launched antenna spectrum, and determine the LH propagation and deposition behavior.
机译：推导了一个非线性波方程，描述了由低频（LF）（10 MHz）离子声渐逝模式（准模式）驱动的在托卡马克等离子体中发射的下混合（LH）波的非线性模式耦合。 LF波动的频谱是考虑到LH波在射频（RF）工作线频率（泵浦波）下的跳动以及RF发生器的噪声背景而计算出来的。遵循摄动方法，在动力学理论的框架内计算该光谱。非线性LH波动方程的数值解显示了在泵浦功率有限消耗的情况下非线性模式耦合的演化。在实验中通常满足的工作条件下，RF发生器的噪声激发并被非线性放大的边带加宽了发射的天线频谱，并确定了LH传播和沉积行为。

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