Abstract
In the past, calculation of wakefields generated by an electron bunch propagating in a plasma has been carried out in linear approximation, where the plasma perturbation can be assumed small and plasma equations of motion linearized. This approximation breaks down in the blowout regime where a high-density electron driver expels plasma electrons from its path and creates a cavity void of electrons in its wake. In this paper, we develop a technique that allows to calculate short-range longitudinal and transverse wakes generated by a witness bunch being accelerated inside the cavity. Our results can be used for studies of the beam loading and the hosing instability of the witness bunch in PWFA and LWFA.
Highlights
In the blowout regime of both plasma-wakefield (PWFA) and laser-wakefield (LWFA) acceleration, plasma electrons are expelled from the region behind the electron bunch, or a laser driver, creating a cavity filled with the plasma ions [1,2]
We developed a method for calculation of short-range longitudinal and transverse wakefields in the blowout regime
Calculating the Green function excited by a point charge moving inside a plasma bubble, we introduced a concept of the electromagnetic shock wave where the electromagnetic field has a delta-function singularity in the plane perpendicular to the direction of motion
Summary
SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA (Received 10 November 2017; published 2 April 2018). Calculation of wakefields generated by an electron bunch propagating in a plasma has been carried out in linear approximation, where the plasma perturbation can be assumed small and plasma equations of motion linearized. This approximation breaks down in the blowout regime where a highdensity electron driver expels plasma electrons from its path and creates a cavity void of electrons in its wake. We develop a technique that allows us to calculate short-range longitudinal and transverse wakes generated by a witness bunch being accelerated inside the cavity. Our results can be used for studies of the beam loading and the hosing instability of the witness bunch in plasma-wakefield and laser-wakefield acceleration
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