An Eulerian Vlasov-Hilbert Code for the Numerical Simulation of the Interaction of High-Frequency Electromagnetic Waves with Plasma

A hybrid Eulerian Vlasov code. I. Study of high-frequency beatwave experiment and Manley–Rowe action evolution in a finite causal system

“…In a previous work, 4 forward Raman scattering has been investigated by using Maxwell-Vlasov and Hilbert-Vlasov simulations using periodic boundary conditions. The main interest of these periodic boundary conditions is to allow a direct comparison with theoretical predictions as the conservation of density action sums, well known as the Manley-Rowe invariants.…”

“…These high ratios impose a prohibitive computer burden on a direct attack via Euler-Vlasov 3 or particle-in-cell ͑PIC͒ simulation. ͑The burden is doubly severe because an exact approach requires both high spatial and time resolution for the very small laser wavelengths and periods, together with the much larger space time scales required for the beatwave effects.͒ In order to handle such a beatwave experiment, a hybrid solution 4 has been implemented: the one-and-one-half dimension ͑1 1 2 -D͒ Eulerian Vlasov code 3 has been modified to interface with the highfrequency complex envelopes rather than interfacing directly with the electromagnetic part of the Maxwell equations. Abandoning a detailed description of the high-frequency and high wave vector phenomena, the full Vlasov apparatus is used only for the longitudinal plasma wave aspect of the problem ͑which gives a precise description of the particle acceleration process͒, but with the addition of the ponderomotive force driver, which is itself obtained from complex amplitude coupled equations for the electromagnetic driver waves ͑and any other important electromagnetic sidebands͒.…”

“…In a previous paper 4 this hybrid model, we have called the Hilbert-Vlasov ͑HV͒ code, has been successfully tested in the case of a beatwave experiment with a modest frequency ratio 0 / p ϭ2.60. In such a range of driver frequency, a direct comparison 4 with the full electromagnetic version of the Vlasov code is then possible. In the simplest case, that of a spatially periodic system with an initial value problem, we have found the two Vlasov codes to agree very well and to exhibit the sames differences of each with respect to the simple nonlinear three-wave envelope model.…”

Kinetics of the Raman instability in laser plasma

“…A good survey and also results of testing of these novel approaches is given, e.g., in [4]. These methods have also been applied in a number of other papers [5][6][7][8][9]. Though these methods are numerically stable and have a number of advantages like the need for less computer time, the stability is achieved due to a numerical averaging between the time steps.…”

An Adiabatic Fluid Electron Particle-in-Cell Code for Simulating Ion-Driven Parametric Instabilities

“…recently proposed [24] in which the electromagnetic wave One must therefore decide on an approach that is most is modeled by a Wentzel-Krammers-Brillouin (WKB) suitable for one's particular needs. For example, one may field envelope in both space and time.…”