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

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Abstract

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.

Original languageEnglish
Pages (from-to)2340-2348
Number of pages9
JournalJournal of the Physical Society of Japan
Volume49
Issue number6
DOIs
Publication statusPublished - 1980

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coupled modes
quenching
locking
nonlinear equations
field strength

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Synchronous quenching due to nonlinear mode coupling in beam-plasma system. / Ohsawa, Takashi.

In: Journal of the Physical Society of Japan, Vol. 49, No. 6, 1980, p. 2340-2348.

Research output: Contribution to journalArticle

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AB - 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.

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