Abstract
Fast relativistic particles generated by an ultra strong laser pulse interacting with an overdense plasma, are the source of strong quasi‐static magnetic fields. The physical mechanism underlying this process is known as the current filamentation (Weibel) instability which is an electromagnetic instability driven by the electron momentum anisotropy. Here we investigate the development of this instability in the fluid, relativistic, collisionless regime in the case of beams with a finite transverse size. We show that the development of a spatially resonant mode plays a key role in determining the kind of magnetic structure generated during the evolution of the instability.
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