The propagation of lower hybrid waves in the presence of ponderomotive density fluctuations is considered. The problem is treated in two dimensions and, in order to be able to correctly impose the boundary conditions, the waves are allowed to evolve in time. The fields are described by i v_tau - \int v_xi dzeta + v_{zeta zeta} + |v|^2 v = 0 where v is proportional to the electric field, tau to time, and zeta and xi measure distances across and along the lower hybrid ray. The behavior of the waves is investigated numerically. If the amplitude of the waves is large enough, the spectrum of the waves broadens and their parallel wavelength becomes shorter. The assumptions made in the formulation preclude the application of these results to the lower hybrid heating experiment on Alcator-A. Nevertheless, there are indications that the physics embodied in this problem are responsible for some of the results of that experiment.
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机译：考虑了在低动力密度波动下低杂波的传播。从二维角度处理问题，为了能够正确施加边界条件，允许波随时间演化。这些场由i v_tau-\ int v_xi dzeta + v_ {zeta zeta} + | v | ^ 2 v = 0来描述，其中v与电场成正比，tau与时间成正比，而zeta和xi则测量跨过和沿电场的距离。下混合射线。数值研究了波浪的行为。如果波的振幅足够大，则波的光谱变宽并且它们的平行波长变短。配方中的假设排除了将这些结果应用于Alcator-A上的较低混合加热实验的可能性。然而，有迹象表明，该问题所体现的物理学是该实验的某些结果的原因。
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