Karpman-Krushkalの方法による準単色・非線型プラズマ波の振幅変調の理論
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概要
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Theory of amplitude modulation of plasma wave is developed by applying the Karpman-Krushkal theory of quasi-monochromatic wave propagation in nonlinear-dispersive media to the Vlasov plasma. As a result of careful analysis of nonlinear resonant effect between wave and particles, it is shown that the modulation of complex amplitude A (x, t) of the potential wave in plasmas is described by the modified nonlinear Schrodinger equation i (∂/∂t+λ∂/∂x) A+p∂<SUP>2</SUP>/∂x<SUP>2</SUP>A+q|A|<SUP>2</SUP>A+s_??_/π∫|A (x', t)|<SUP>2</SUP>/x-x'dx'A+irA=0<BR>Where λ is the group velocity of the wave. The coefficients q and s involves contributios of the resonant interaction of particles and wave at the group velocity, while the coefficient r represents the linear Landau damping rate, and P ex presses the dispersion effect defined as (1/2) ∂λ/∂k.
- 社団法人 プラズマ・核融合学会の論文