Staggered Grid Pseudo-spectral Time-domain Method for Light Scattering Analysis

Ohmura, Yuki; Okamura, Yasuyuki

doi:10.2529/piers091219092242

Cited by 11 publications

(6 citation statements)

References 6 publications

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“…The vacuum dispersion relation in this case is given by equation (B.7), derived in Appendix B. Figure 1 shows that in the case of the staggered equations, the dispersion relation is closer to linear and the phase velocity remains consequently closer to c, reducing the slowdown of high-frequency waves, which in the nodal case is so strong that it leads to standing waves at the Nyquist wavelength at any finite order, producing in turn undesirable effects [46] that need to be suppressed. (ii) Staggered solvers offer a more local stencil than nodal solvers, at a given finite order.…”

Section: Motivationsmentioning

confidence: 98%

A hybrid nodal-staggered pseudo-spectral electromagnetic particle-in-cell method with finite-order centering

Zoni

Lehe

Shapoval

et al. 2022

Computer Physics Communications

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Section: Motivationsmentioning

confidence: 98%

A hybrid nodal-staggered pseudo-spectral electromagnetic particle-in-cell method with finite-order centering

Zoni

Lehe

Shapoval

et al. 2022

Computer Physics Communications

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“…The PSATD formulation that was just given applies to the field components located at the nodes of the grid. As noted in [51], they can also be easily recast on a staggered Yee grid by multiplication of the field components by the appropriate phase factors to shift them from the collocated to the staggered locations. The choice between a collocated and a staggered formulation is application-dependent.…”

Section: Pseudo Spectral Analytical Time Domain (Psatd)mentioning

confidence: 99%

Simulation of plasma accelerators with the Particle-In-Cell method

Vay¹

2020

Preprint

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We present the standard electromagnetic Particle-in-Cell method, starting from the discrete approximation of derivatives on a uniform grid. The application to second-order, centered, finite-difference discretization of the equations of motion and of Maxwell's equations is then described in one dimension, followed by two and three dimensions. Various algorithms are presented, for which we discuss the stability and accuracy, introducing and elucidating concepts like "numerical stochastic heating", "CFL limit" and "numerical dispersion". The coupling of the particles and field quantities via interpolation at various orders is detailed, together with its implication on energy and momentum conserving. Special topics of relevance to the modeling of plasma accelerators are discussed, such as moving window, optimal Lorentz boosted frame, the numerical Cherenkov instability and its mitigation. Examples of simulations of laser-driven and particle beam-driven accelerators are given, including with mesh refinement. We conclude with a discussion on high-performance computing and a brief outlook.

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“…The PSATD and PSTD formulations that were just given apply to the field components located at the nodes of the grid. As noted in [17], they can also be easily recast on a staggered Yee grid by multiplication of the field components by the appropriate phase factors to shift them from the collocated to the staggered locations. The choice between a collocated and a staggered formulation is application-dependent.…”

Section: Pseudo Spectral Analytical Time Domain (Psatd)mentioning

confidence: 99%

Modeling of relativistic plasmas with the Particle-In-Cell method

Vay

Godfrey

2014

Comptes Rendus. Mécanique

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Standard methods employed in relativistic electromagnetic Particle-In-Cell codes are reviewed, as well as novel techniques that were introduced recently. Advances in the analysis and mitigation of the numerical Cherenkov instability are also presented with comparison between analytical theory and numerical experiments. The algorithmic and numerical analytic advances are expanding the range of applicability of the method in the ultrarelativistic regime in particular, where the numerical Cherenkov instability is the strongest without corrective measures.

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Staggered Grid Pseudo-spectral Time-domain Method for Light Scattering Analysis

Cited by 11 publications

References 6 publications

A hybrid nodal-staggered pseudo-spectral electromagnetic particle-in-cell method with finite-order centering

A hybrid nodal-staggered pseudo-spectral electromagnetic particle-in-cell method with finite-order centering

Simulation of plasma accelerators with the Particle-In-Cell method

Modeling of relativistic plasmas with the Particle-In-Cell method

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