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Explicit electromagnetic Particle-In-Cell (PIC) codes are typically limitedby the Courant- Friedrichs-Lewy (CFL) condition, which implies that thetimestep multiplied by the speed of light must be smaller than the smallestcell size. In the case of boosted-frame PIC simulations of plasma-basedacceleration, this limitation can be a major hinderance as the cells are oftenvery elongated along the longitudinal direction and the timestep is thuslimited by the small, transverse cell size. This entails many small-timestepPIC iterations, and can limit the potential speed-up of the boosted-frametechnique. Here, by using a CFL-free analytical spectral solver, and bymitigating additional numerical instabilities that arise at large timestep, weshow that it is possible to overcome traditional limitations on the timestepand thereby realize the full potential of the boosted-frame technique over amuch wider range of parameters.

Overcoming timestep limitations in boosted-frame Particle-In-Cell simulations of plasma-based acceleration