Analytic model of electromagnetic fields around a plasma bubble in the blow-out regime

Abstract

An analytic model of the electric and magnetic fields surrounding the nonlinear plasma “bubble” formed around the high-current electron bunch in a plasma wakefield accelerator is developed. The model, justified by the results of particle-in-cell simulations, accurately captures the thin high-density plasma sheath and extended return current layer surrounding the bubble. The resulting global fields inside and outside the bubble are used to investigate electron self-injection in a plasma with a smooth density gradient. It is shown that accurate description of the current/density sheaths is crucial for quantitative description of self-injection.