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arXiv 1310.2622physics.comp-phphysics.plasm-ph
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用EM-PIC程序模拟Lorentz助推系中的Laser尾流场加速

Modeling of Laser wakefield acceleration in Lorentz boosted frame using EM-PIC code with spectral solver

Peicheng Yu, Xinlu Xu, Viktor K. Decyk, Weiming An, Jorge Vieira, Frank S. Tsung, Ricardo A. Fonseca, Wei Lu, Luis O. Silva, Warren B. Mori

摘要:

用$v_b$模拟等离子体向激光漂移的洛伦兹增强坐标系中的激光尾场加速(LWFA),可以使模拟速度提高$γ^2_b=(1-v^2_b/c^2)^{-1}$倍。在这些模拟中,相对论漂移等离子体不可避免地引起高频数值不稳定性,污染感兴趣的物理。已经提出了各种方法来减轻这种不稳定性。一种方法是在傅立叶空间中求解麦克斯韦方程组(频谱求解器),因为这已经被证明可以在傅立叶空间中使用简单的低通、环(二维)或壳(三维)滤波器来抑制简单测试问题中这种不稳定性的最快增长模式。我们描述了一个完全并行化的,多维的,粒子在细胞的代码,使用频谱求解器来解决麦克斯韦方程组,包括使用移动天线发射激光的能力的发展。这个新的EM-PIC代码被称为UPIC-EMMA,它基于UCLA PIC框架(UPIC)的组件。我们表明,通过使用UPIC-EMMA,LWFA模拟的提升框架与任意$γ_b$可以进行而不存在的数值不稳定性。我们还比较了几个LWFA的情况下,几个值的$γ_b$,包括实验室框架模拟使用OSIRIS,一个EM-PIC代码与有限差分时域(FDTD)麦克斯韦求解器的结果。这些比较包括线性和非线性制度的情况。我们还研究了实验室数值色散和增强帧模拟以及FDTD和频谱求解器之间的一些问题。

英文摘要:

Simulating laser wakefield acceleration (LWFA) in a Lorentz boosted frame in which the plasma drifts towards the laser with $v_b$ can speedup the simulation by factors of $γ^2_b=(1-v^2_b/c^2)^{-1}$. In these simulations the relativistic drifting plasma inevitably induces a high frequency numerical instability that contaminates the interested physics. Various approaches have been proposed to mitigate this instability. One approach is to solve Maxwell equations in Fourier space (a spectral solver) as this has been shown to suppress the fastest growing modes of this instability in simple test problems using a simple low pass, ring (in two dimensions), or shell (in three dimensions) filter in Fourier space. We describe the development of a fully parallelized, multi-dimensional, particle-in-cell code that uses a spectral solver to solve Maxwell's equations and that includes the ability to launch a laser using a moving antenna. This new EM-PIC code is called UPIC-EMMA and it is based on the components of the UCLA PIC framework (UPIC). We show that by using UPIC-EMMA, LWFA simulations in the boosted frames with arbitrary $γ_b$ can be conducted without the presence of the numerical instability. We also compare the results of a few LWFA cases for several values of $γ_b$, including lab frame simulations using OSIRIS, a EM-PIC code with a finite difference time domain (FDTD) Maxwell solver. These comparisons include cases in both linear, and nonlinear regimes. We also investigate some issues associated with numerical dispersion in lab and boosted frame simulations and between FDTD and spectral solvers.

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