Abstract
The dynamics in time and space of a Gaussian beam of high power free electron laser (FEL) radiation, polarized in the ordinary mode, propagating in a magnetized plasma, is presented within a paraxial approximation. The process of self-focusing of radiation and the subsequent formation of a focus point, running back towards the incoming high frequency power, are numerically computed. Some implications on the optimal FEL operations in a plasma heating scenario are discussed.
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