Bridging the gap between two stream and filamentation instabilities

ANTOINE BRET, MARIE-CHRISTINE FIRPO, CLAUDE DEUTSCH
2005 Laser and particle beams (Print)  
We investigate intermediate unstable modes between two stream and filamentation instabilities. We detail the problem of the angle between the wave vector and its electric field and use an electromagnetic formalism allowing for any value for this angle. We display analytical results for 3 different models: cold beam-cold plasma, cold beam-hot plasma and cold relativistic beam-hot plasma. We demonstrate that plasma temperature prompts a critical angle for which waves are unstable at any k and
more » ... that for a relativistic beam, the most unstable waves are obtained for wave vectors which are neither normal nor perpendicular to the beam.
doi:10.1017/s0263034605050536 fatcat:fypraljvvvaw5hj7w5riwakgxq