Parametric Excitation of Coupled Waves : I. General Formulation

概要

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The coupling of two waves due to the presence of a third wave with large amplitude is studied. On the basis of simple model equations, the conditions for excitation of the first two waves are discussed for the following three cases: i) ω_1+ω_2〓ω_0 and ω_1, ω_2 are large compared with their frequency shift, ii) ω_1〓ω_2〓ω_0 and iii) ω_1〓ω_0〓ω_2, where ω_1, ω_2 are the unperturbed frequencies of the two waves under consideration and ω_0 is the frequency of the incident large amplitude wave. In the first two cases, the excited wave is found oscillatory, while in the third it is found non-oscillatory. The threshold power of the incident wave for the onset of excitation, the frequency shift at the threshold and the growth rate above threshold are calculated in each case.
社団法人日本物理学会の論文
1968-04-05