Zur nichtlinearen Theorie der Strahl-Plasma-Wechselwirkung I

✍ Scribed by Ronald Leven

• Publisher: John Wiley and Sons
• Year: 1969
• Tongue: English
• Weight: 827 KB
• Volume: 9
• Category: Article
• ISSN: 0005-8025
• DOI: 10.1002/ctpp.19690090104

✦ Synopsis

Beam-plasma-interaction is theoretically investigated on the basis of the non-linear V~asov equation. The case of amplifying longitudinal waves is described by a non-linear approximation including "quasilinear" and mode-coupling terms. By evaluating the electric field vector E ( z , t ) and the distribution functions f,(z, w, t ) for the beam and plasma electrons in FOURIER series and approximating the non-oscillating parts of the f, by the first terms in an expansion using HERMITE polynomials in velocity space a system of ordinary differentia1 equations for the complex wave number k, the mean and thermal velocities and the quasimoments b,, is obtained, which can be solved numerically, if terms with En7" for which m + n > 3 are neglectted. The numerical results will be given in a further part of the paper.