一种光谱、准圆柱和无色散的Particle-In-Cell算法
A spectral, quasi-cylindrical and dispersion-free Particle-In-Cell algorithm
摘要：
我们提出了一个光谱粒子在细胞（PIC）算法，是基于汉克尔变换和傅立叶变换的组合。对于具有接近圆柱对称性的物理问题，该算法可以比全3D PIC算法快得多。此外，不同于标准的有限差分PIC码，该算法是免费的数值色散。该算法是基准在几种情况下，是感兴趣的激光等离子体相互作用。这些基准测试表明，它避免了许多数值伪影，否则会影响标准PIC算法中的物理学-包括零阶数值切伦科夫效应。
英文摘要：
We propose a spectral Particle-In-Cell (PIC) algorithm that is based on the combination of a Hankel transform and a Fourier transform. For physical problems that have close-to-cylindrical symmetry, this algorithm can be much faster than full 3D PIC algorithms. In addition, unlike standard finite-difference PIC codes, the proposed algorithm is free of numerical dispersion. This algorithm is benchmarked in several situations that are of interest for laser-plasma interactions. These benchmarks show that it avoids a number of numerical artifacts, that would otherwise affect the physics in a standard PIC algorithm - including the zero-order numerical Cherenkov effect.
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