Accurate numerical simulation of radiation reaction effects in strong electromagnetic fields
Accurate numerical simulation of radiation reaction effects in strong electromagnetic fields
复制标题
强电磁场辐射反应效应的精确数值模拟
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
C. Herzing
中科院分区：
文献类型：
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作者：
N. Elkina;A. Fedotov;H. Ruhl;C. Herzing
Landau-Lifshitz方程提供了一种有效的方法来解释辐射反应的影响，而无需获得典型的洛伦兹-亚伯拉罕-狄拉克方程的非物理解。为了同时控制辐射粒子的能量和动量，我们将Landau-Lifshitz方程解为协变四矢量形式。研究表明，龙格-库塔-奈斯特尔om型隐式时间对称配置方法在精度和维持质量壳条件方面都优于显式配置方法。我们通过比较Landau-Lifshitz方程的解析解和数值解，对数值精度进行了广泛的研究。最后，给出了聚焦激光脉冲对粒子散射的模拟结果。与忽略辐射反应的情况相比，由于辐射反应，粒子进入焦点区域的能力较差。本文的研究结果对高强度激光场实验的设计具有重要意义。
The Landau-Lifshitz equation provides an efficient way to account for the effects of radiation reaction without acquiring the non-physical solutions typical for the Lorentz-Abraham-Dirac equation. We solve the Landau-Lifshitz equation in its covariant four-vector form in order to control both the energy and momentum of radiating particle. Our study reveals that implicit time-symmetric collocation methods of the Runge-Kutta-Nystr"om type are superior in both accuracy and better maintaining the mass-shell condition than their explicit counterparts. We carry out an extensive study of numerical accuracy by comparing the analytical and numerical solutions of the Landau-Lifshitz equation. Finally, we present the results of simulation of particles scattering by a focused laser pulse. Due to radiation reaction, particles are less capable for penetration into the focal region, as compared to the case of radiation reaction neglected. Our results are important for designing the forthcoming experiments with high intensity laser fields.