用等离子体粒子能谱拟合温度的新方法

摘要

用最小二乘法拟合等离子体粒子能谱实验数据时，通常使拟合函数与实验能谱数据之间的误差平方和极小化。如果将能谱实验数据的对数拟合成直线以求得粒子温度，则最好对温度误差的平方和极小化。给出了这种拟合方法的计算公式，并对两种不同方法得到的结果进行了比较。%Fitting a curve for an experimental energy spectrum of plasma particles with the least square method, a square error sum between the fitted curve and experimental spectrum data is usually minimized. However, if a straight line is fitted for logarithmic spectrum data to give the particle temperature, it is better to minimize the temperature square error sum. Formulas of such fitting are given and results obtained by minimizing different square error sums are compared.