A matrix inversion technique is derived to calculate local ion temperature from line-integrated measurements of an extended emission source in an axisymmetric plasma which exactly corrects for both toroidal velocity and radial velocity components. Local emissivity and toroidal velocity can be directly recovered from line-integrated spectroscopic measurements, but an independent measurement of the radial velocity is necessary to complete the temperature inversion. The extension of this technique to handle the radial velocity is relevant for magnetic reconnection and merging compression devices where temperature inversion from spectroscopic measurements is desired. A simulation demonstrates the effects of radial velocity on the determination of ion temperature.

从轴对称等离子体中扩展发射源的线积分测量中推导出矩阵反演技术来计算局部离子温度，该测量精确地校正环形速度和径向速度分量。局部发射率和环形速度可以直接从线积分光谱测量中恢复，但需要独立测量径向速度才能完成温度反演。该技术用于处理径向速度的扩展与磁重联和合并压缩设备相关，其中需要从光谱测量中反演温度。模拟演示了径向速度对离子温度确定的影响。