Abstract
The rms errors are investigated, analytically and by computer simulations, in the determination by Thomson scattering lidar of the electron temperature <i>T</i><sub>e</sub> and concentration <i>n</i><sub>e</sub> and the pressure in fusion plasmas, using fitting approach. Unlike previous such studies, we have taken into account the correlation between the fluctuations of the statistical estimates of the electron temperature and concentration. Analytical expressions of the errors as functions of the electron temperature are derived for the cases of log-linear and non-linear fitting procedures at a high measurement signal-tonoise ratio. Also performed are computer simulations of the nonlinear fitting procedure, which confirm the analytical results. It is shown that in the log-linear fitting procedure the correlation between the estimates of the electron temperature and concentration leads to an increase in the rms errors in determining the concentration and the pressure compared to the case of no correlation. In the non-linear fitting procedure, the same correlation increases the <i>n</i><sub>e</sub>– measurement error while influencing only slightly the error in the determination of the pressure.
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