Abstract
The three-wave decay of beam-driven Langmuir waves into ion-sound waves, and backscattered Langmuir waves is analyzed. Realistic approximations are used for the spectra of Langmuir and ion-sound waves to enable calculations of growth rates of ion-sound and backscattered Langmuir waves in terms of a single well behaved integral. This integral is evaluated numerically, and approximated analytically and the results are compared with previous estimates. The case of intense beam-driven Langmuir waves decaying amid a weak thermal background of pre-existing Langmuir and ion-sound waves is examined in detail and the analytical approximation in this case is found to reproduce the numerical results accurately.
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