Numerical test of the weak turbulence approximation to ionospheric Langmuir turbulence

Physics

Scientific paper

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Earth Ionosphere, Electrostatics, Plasma Turbulence, Frequency Shift, Mathematical Models, Plasma Frequencies

Scientific paper

Attention is given to the standard weak Langmuir turbulence approach to explain the artificial plasma line in ionospheric radio modification experiments. Solutions of a weak turbulence approximation (WTA) derived from a version of the 1D driven and damped Zakharov system of equations (ZSE) are compared with solutions to the same full ZSEs. The electromagnetic pump field is modeled as a long-wavelength parametric driving term. It is found that from a certain distance below the O mode reflection level the wave number saturation spectra computed from the WTA agree quantitatively with those from the ZSE for weak driving strengths, in the sense that the number of cascade lines increases with increasing pump strength. In general, the number of cascades apparent in the WTA solutions is larger than that predicted from the full ZSEs. It is concluded that the ZSEs yield results closer to observations than does the WTA, in all regions of space.

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