12 May 2015 Applicability of the envelope model
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Abstract
Envelope models offer the potential to dramatically reduce the computational overhead of particle-in-cell simulations of laser-plasma interactions. However, the associated approximations inevitably limit their applicability. We here derive the governing equations for an envelope model in order to gauge those limits. The approximations for electron response are shown to be exact in one dimension for the correct initial conditions. For multidimensional geometries, limits are placed on the canonical momentum perpendicular to the laser field, and on the amplitude of the laser field relative to the laser spot size. It is shown that those conditions are readily satisfied for the case of Raman amplification.
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J. P. Farmer, Alexander Pukhov, "Applicability of the envelope model", Proc. SPIE 9509, Relativistic Plasma Waves and Particle Beams as Coherent and Incoherent Radiation Sources, 95090H (12 May 2015); doi: 10.1117/12.2179570; https://doi.org/10.1117/12.2179570
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