Resonant Wave-Particle Interaction in an Explosively Unstable Beam-Plasma System. I. Derivation of a System of Nonlinear Equations and Numerical Evaluation of the Saturation Field Strength

✍ Scribed by K. J. G. Kruscha; R. W. Leven

• Publisher: John Wiley and Sons
• Year: 1984
• Tongue: English
• Weight: 589 KB
• Volume: 24
• Category: Article
• ISSN: 0005-8025
• DOI: 10.1002/ctpp.19840240605

✦ Synopsis

The evolution of a resonant triplet of linearly stable electrostatic waves in a beam-plasma system is considered. A set of nonlinear ordinary differential equations is derived, which allow an investigation of the explosive instability with minimum numerical expense. Our model is different from the well known single wave model in taking into consideration the nonlinear sus- ceptibility of the plasma and in making use of the ponderomotive force description. Maximum values of the wave amplitudes are obtained numerically and it is shown that the saturetion of the explosive instability is due to different trapping mechanisms of the beam electrons by the excited waves.