Low noise particle-in-cell simulations of 10 GeV laser-plasma accelerator stages

Because of their ultra-high accelerating gradient, laser plasma based accelerators (LPA) are contemplated for the next generation of high-energy colliders and light sources. The upcoming BELLA project will explore acceleration of electron bunches to 10 GeV in a 1 meter long plasma, where a wakefield is driven by a PW-class laser. Particle-in-cell (PIC) simulations are used to design LPA stages relevant to the upcoming experiments. Simulations in a Lorentz boosted frame are used to gain significant speed up and to simulate the 10 GeV stages at full scale parameters, otherwise impractical. As criteria on energy spread and beam emittance become more stringent, PIC simulations become more challenging as high frequency noise artificially increases those quantities. To reduce numerical noise, we consider using a Poisson solve to calculate the beam self-fields. This method allows correct cancelation of the beam transverse self-forces and prevents artificial emittance growth for a matched beam in a linear focusing field.