Journal of the Physical Society of Japan 62 (1993) pp. 2351-2358 Direct Excitation of a High Frequency Wave by a Low Frequency Wave in a Plasma Takayasu Tanaka Journal of the Physical Society of Japan 70 (2001) pp. 2222-2223 Direct Excitation of a High Frequency Wave by an Inhomogeneous Low Frequency Wave in a Plasma Takayasu Tanaka and Shun-ichi Himeno
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Nishikawa et al. (1968) studied this question.