从集体汤姆逊散射光谱中恢复非麦克斯韦粒子速度分布函数
Recovering non-Maxwellian particle velocity distribution functions from collective Thomson-scattered spectra
AI总结：
提出新的开源数值工具对任意速度分布函数（VDF）的集体汤姆逊散射光谱进行正向建模，相比假设麦克斯韦分布的标准算法，能更准确地从非麦克斯韦等离子体合成光谱中提取参数并评估不确定性。
摘要：
集体光学汤姆逊散射（TS）是一种常用于表征等离子体参数的诊断方法。这些参数通常通过拟合算法提取，该算法通过最小化测量散射光谱与由等离子体速度分布函数（VDF）计算的解析光谱之间的差异来获得。然而，大多数现有的TS分析算法假设VDF是麦克斯韦分布，由于非麦克斯韦偏差对TS光谱的影响，应用此类算法无法准确提取非麦克斯韦等离子体的参数。我们提出了新的开源数值工具，用于对任意VDF的解析光谱进行正向建模，并表明与标准TS算法相比，这些工具能够更准确地从非麦克斯韦VDF生成的合成TS光谱中提取等离子体参数。通过对多种非麦克斯韦VDF示例的合成光谱进行拟合，估计的后验概率分布用于确定提取的等离子体参数的不确定性，并表明参数之间的相关性会显著影响非麦克斯韦VDF等离子体中拟合的准确性。
英文摘要：
Collective optical Thomson scattering (TS) is a diagnostic commonly used to characterize plasma parameters. These parameters are typically extracted by a fitting algorithm that minimizes the difference between a measured scattered spectrum and an analytic spectrum calculated from the velocity distribution function (VDF) of the plasma. However, most existing TS analysis algorithms assume the VDFs are Maxwellian, and applying an algorithm which makes this assumption does not accurately extract the plasma parameters of a non-Maxwellian plasma due to the effect of non-Maxwellian deviations on the TS spectra. We present new open-source numerical tools for forward modeling analytic spectra from arbitrary VDFs, and show that these tools are able to more accurately extract plasma parameters from synthetic TS spectra generated by non-Maxwellian VDFs compared to standard TS algorithms. Estimated posterior probability distributions of fits to synthetic spectra for a variety of example non-Maxwellian VDFs are used to determine uncertainties in the extracted plasma parameters, and show that correlations between parameters can significantly affect the accuracy of fits in plasmas with non-Maxwellian VDFs.
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