A self-consistent magnetostatic particle code for numerical simulation of plasmas

QUICKPIC: A highly efficient particle-in-cell code for modeling wakefield acceleration in plasmas

“…If one views the iteration number as a pseudo-time variable, the numerical instability arises from the instantaneous nature of the solution to the elliptical field equation in the pseudo-time. To remedy this, several methods including the moment method [18,20,21] and the canonical momentum method [18,22] have been proposed in the literature. However, incorporating these methods into QuickPIC would involve significant modifications and they are sometimes impractical.…”

ASPEN: A Fully Kinetic, Reduced-Description Particle-in-Cell Model for Simulating Parametric Instabilities

“…ω 0 , the frequency of the incident laser, is taken to be 5.37 × 10 15 Hz and corresponds to a frequency-tripled Nd-glass laser with vacuum wavelength λ v = 0.351 µm. The f /number of the focusing optics, defined to be the ratio of the focal length of the optical lens to its diameter, is taken to be 4.0.…”

Implications of the Electrostatic Approximation in the Beam Frame on the Nonlinear Vlasov-Maxwell Equations for Intense Beam Propagation

“…Approximate Vlasov-Maxwell equations similar to Eqs. (26) and (28) can also be derived using the Darwin-approximation model [31][32][33][34][35] developed by Lee, et al [30] for intense beam propagation.…”

“…Through analytical studies based on the nonlinear Vlasov-Maxwell equations for the distribution function f b (x, p, t) and the self-generated electric and fields E s (x, t) and B s (x, t), and numerical simulations using particle-in-cell models and nonlinear perturbative simulation techniques, considerable progress has been made in developing an improved understanding of the collective processes and nonlinear beam dynamics characteristic of high-intensity beam propagation in periodic focusing and uniform focusing transport systems [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28]. In almost all applications of the Vlasov-Maxwell equations to intense beam propagation, the analysis is carried out in the laboratory frame, and various simplifying approximations are made, ranging from the electrostatic-magnetostatic approximation [29], to the Darwin-model approximation [30][31][32][33][34][35] which neglects fast transverse electromagnetic perturbations.…”