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Simulating laser wakefield acceleration (LWFA) in a Lorentz boosted frame inwhich the plasma drifts towards the laser with $v_b$ can speedup the simulationby factors of $\gamma^2_b=(1-v^2_b/c^2)^{-1}$. In these simulations therelativistic drifting plasma inevitably induces a high frequency numericalinstability that contaminates the interested physics. Various approaches havebeen proposed to mitigate this instability. One approach is to solve Maxwellequations in Fourier space (a spectral solver) as this has been shown tosuppress the fastest growing modes of this instability in simple test problemsusing a simple low pass, ring (in two dimensions), or shell (in threedimensions) filter in Fourier space. We describe the development of a fullyparallelized, multi-dimensional, particle-in-cell code that uses a spectralsolver to solve Maxwell's equations and that includes the ability to launch alaser using a moving antenna. This new EM-PIC code is called UPIC-EMMA and itis based on the components of the UCLA PIC framework (UPIC). We show that byusing UPIC-EMMA, LWFA simulations in the boosted frames with arbitrary$\gamma_b$ can be conducted without the presence of the numerical instability.We also compare the results of a few LWFA cases for several values of$\gamma_b$, including lab frame simulations using OSIRIS, a EM-PIC code with afinite difference time domain (FDTD) Maxwell solver. These comparisons includecases in both linear, and nonlinear regimes. We also investigate some issuesassociated with numerical dispersion in lab and boosted frame simulations andbetween FDTD and spectral solvers.

Modeling of Laser wakefield acceleration in Lorentz boosted frame using EM-PIC code with spectral solver