Theory of coherent parametric instabilities excited by two or more pump waves

Details Theory of coherent parametric instabilities excited by two or more pump waves Theory of coherent parametric instabilities excited by two or more pump waves

Mar 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978georl...5..183c&link_type=abstract

Geophysical Research Letters, vol. 5, Mar. 1978, p. 183-186.

Other

2

Electron Plasma, Magnetohydrodynamic Stability, Plasma Frequencies, Plasma Waves, Plasma-Electromagnetic Interaction, Coherence, High Frequencies, Pumping, Standing Waves

Scientific paper

Linear thresholds of coherent parametric instabilities of the purely growing and arithmetic-mean types that can exist in a plasma are determined for the case of N uniform pump waves equally spaced in frequency. The power transfer from a set of N spatially uniform pump waves to each member of the set of N possible purely growing and (N - 1) possible arithmetic-mean-type standing waves is calculated, and the instability threshold condition for each mode is obtained by equating the power transfer to the collisional dissipation of the corresponding wave. The results are then applied to a multiple-pump ionospheric heating experiment. It is found that: (1) the two instability modes considered involve a coupling with the decay instability; (2) the nature and extent of this coupling depend on the radio of the frequency separation of successive pumps to the ion-acoustic frequency; (3) the purely growing and arithmetic-mean instabilities can be coupled to each other with three or more pump waves; and (4) this type of coupling depends on the phase relationships among the various pump waves as well as on their frequency separation.

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