Streaming instabilities in converging geometry

Inigo Gamiz, Lucas I. and Ersfeld, Bernhard and Yoffe, Samuel R. and Cairns, R. Alan and Jaroszynski, Dino A. (2019) Streaming instabilities in converging geometry. In: Relativistic Plasma Waves and Particle Beams as Coherent and Incoherent Radiation Sources III - Proceedings. SPIE, Bellingham, Washington.

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    We present an investigation into counter-streaming electron beams converging towards, and diverging from, a single point in two dimensions, leading to two-stream and current filamentation instabilities, which have radial and azimuthal density modulations, respectively. Using a semi-analytical approach and numerical simulations, we find no evidence for the two-stream instability in this geometry, but show that the system is unstable to the development of current filamentation.