Bispectrum and nonlinear wave coupling

The relationship between nonlinear wave coupling and the properties of the bispectrum are investigated for the case of three‐wave coupling. In particular, the dependence of the phase of the bispectrum, the direction of power flow between modes, and the sign of the skewness parameter, on the nonlinear amplitude variation and coupling coefficient, is analytically investigated and found to be in good agreement with experimental observations.

[1]  E. Powers Evidence of Anomalous Diffusion in a Radio‐Frequency Discharge in a Magnetic Field , 1965 .

[2]  B. Harris Spectral Analysis Of Time Series , 1967 .

[3]  A. A. Galeev,et al.  Nonlinear plasma theory , 1969 .

[4]  Edward J. Powers,et al.  COLLISIONAL DRIFT-LIKE INSTABILITY OF A WEAKLY IONIZED MAGNETOPLASMA WITH NO AXIAL DRIFT. , 1969 .

[5]  R. Franklin,et al.  NONLINEAR DAMPING OF ELECTRON PLASMA WAVES BY INDUCED DECAY INTO ION WAVES. , 1971 .

[6]  Mode‐Coupling and Wave‐Particle Interactions for Unstable Ion‐Acoustic Waves , 1972 .

[7]  T. T. Yeh,et al.  Spectral transfer of scalar and velocity fields in heated-grid turbulence , 1973, Journal of Fluid Mechanics.

[8]  E. J. Powers,et al.  Experimental determination of the spectral index of a turbulent plasma from digitally computed power spectra , 1973 .

[9]  Nonlinear harmonic generation of ion‐acoustic waves with dispersion , 1976 .

[10]  M. Rosenblatt,et al.  Bispectral measurements in turbulence , 1976, Journal of Fluid Mechanics.

[11]  G. Matthieussent,et al.  Nonresonant coupling of ion acoustic waves in three dimensions , 1977 .

[12]  S. Corrsin,et al.  Velocity-derivative skewness in small Reynolds number, nearly isotropic turbulence , 1978, Journal of Fluid Mechanics.

[13]  E. Powers,et al.  Digital bispectral analysis of self-excited fluctuation spectra , 1978 .

[14]  Theory and numerical simulations on collisionless drift instabilities in three dimensions , 1978 .

[15]  E. Powers,et al.  Digital Bispectral Analysis and Its Applications to Nonlinear Wave Interactions , 1979, IEEE Transactions on Plasma Science.