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Calculation of the nonlinear relativistic Thomson scattering fields and Its application to electron distribution function diagnostic

机译：非线性相对论汤姆逊散射场的计算及其在电子分布函数诊断中的应用

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摘要

Analytical results obtained recently of the ab-initio classical incoherent Thomson Scattering (TS) spectrum from a single-electron (Alvarez-Estrada et al 2012 Phys. Plasmas 19 062302) have been numerically implemented in a paralelized code to efficiently compute the TS emission from a given electron distribution function, irrespective of its characteristics and/or the intensity of the incoming radiation. These analytical results display certain differences, when compared with other authors, in the general case of incoming linearly and circularly polarized radiation and electrons with arbitrary initial directions. We regard such discrepancies and the ubiquitous interest in TS as motivations for this work. Here, we implement some analytical advances (like generalized Bessel functions for incoming linearly polarized radiation) in TS. The bulk of this work reports on the efficient computation of TS spectra (based upon our analytical approach), for an electron population having an essentially arbitrary distribution function and for both incoming linearly and circularly polarized radiation. A detailed comparison between the present approach and a previous Monte Carlo one (Pastor et al 2011 Nuclear Fusion 51 043011), dealing with the ab-initio computation of TS spectra, is reported. Both approaches are shown to fully agree with each other. As key computational improvements, the analytical technique yields a x 30 to x 100 gain in computation time and is a very flexible tool to compute the scattered spectrum and eventually the scattered electromagnetic fields in the time domain. The latter are computed explicitly here for the first time, as far as we know. Scaling laws for the power integrated over frequency versus initial kinetic energy are studied for the case of isotropic and monoenergetic electron distribution functions and their potential application as diagnostic tools for high-energy populations is briefly discussed. Finally, we discuss the application of these techniques to the obtention and interpretation of TS spectra in fusion plasmas and the inverse problem, i.e. the construction of the electron distribution function that best fits experimentally obtained TS data.
机译：最近从单电子（Alvarez-Estrada等人2012 Phys.Plasmas 19 062302）中获得的从头开始的经典非相干Thomson散射（TS）光谱的分析结果已在并行代码中实现了数值计算，从而有效地计算了来自给定的电子分布函数，无论其特性和/或入射辐射的强度如何。与其他作者相比，这些分析结果在某些情况下表现出某些差异，即入射的线性和圆偏振辐射以及具有任意初始方向的电子。我们认为这样的差异和对​​TS的普遍兴趣是这项工作的动机。在这里，我们在TS中实现了一些分析进展（例如用于输入线性偏振辐射的广义Bessel函数）。这项工作的大部分内容是报告TS光谱的有效计算（基于我们的分析方法），具有基本任意分布函数的电子种群以及入射的线性和圆偏振辐射。报告了本方法与先前的蒙特卡洛方法（Pastor等人，2011 Nuclear Fusion 51 043011）之间的详细比较，该方法涉及TS光谱的从头算起。两种方法都显示出彼此完全一致。作为关键的计算改进，分析技术在计算时间上产生了30到100倍的增益，是一种非常灵活的工具，可以计算时域中的散射频谱以及最终的散射电磁场。据我们所知，这是第一次在此处明确计算。对于各向同性和单能电子分布函数，研究了频率积分功率与初始动能的比例定律，并简要讨论了其作为高能人口诊断工具的潜在应用。最后，我们讨论了这些技术在融合等离子体中TS光谱的获取和解释以及反问题（即最适合通过实验获得的TS数据的电子分布函数的构造）的应用。

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