Synchronous quenching due to nonlinear mode coupling in beam-plasma system

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A nonlinear theory is presented which shows mode-locking of a naturally excited instability by an externally launched wave whose frequency is around that of the instability. A procedure to remove secular solutions leads to a couple of nonlinear equations which describe slow-time evolutions of amplitudes. A stably stationary solution of these equations is investigated to show qualitative agreement with published experiments; the external field strength at which the instability vanishes increases as the frequency discrepancy between the instability and the external wave |Ω-ω0| increases, and a relation Aa2+Bb2=1 is obtained between the amplitude of the instability a and that of the externally excited wave b where the ratio B/A depends on the frequency discrepancy in the form (Ω-ω0)−2.

元の言語English
ページ(範囲)2340-2348
ページ数9
ジャーナルjournal of the physical society of japan
49
発行部数6
DOI
出版物ステータスPublished - 1980 1 1

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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