锗探测器拟合探测效率的不确定度分析

Uncertainty Analysis of Germanium Detector’s Fitting Detection Efficiency

  • 摘要: 采用双对数多项式对4组锗探测器探测效率实验数据进行了拟合,计算了拟合探测效率及其相对标准不确定度,分析了影响拟合值不确定度的主要因素。分析结果表明:在6~2754 keV能量范围内,采用5阶或6阶双对数多项式能较好地拟合锗探测器探测效率,在实验数据能量范围内,拟合值不确定度主要受实验数据不确定度和测点密集程度的影响。在实验数据精度高、测点密集的能区,拟合值不确定度低;在实验数据精度低、测点稀少的能区,拟合值不确定度高。在实验数据能量范围外,拟合值不确定度会快速增大,因此不宜使用双对数多项式拟合的方式确定实验数据能量范围外γ光子的探测效率。

     

    Abstract: In this paper, a double-logarithmic polynomial was used to fit four measured efficiency data of germanium detector, the fitting detection efficiency and its relative standard uncertainty were calculated, and the main factors affecting the fitting detection efficiency uncertainty were analyzed. The result shows that five- or six-order logarithmic polynomial can well fit the measured data in 6-2754 keV. Within the measured energy range, the uncertainty of the fitting value is mainly influenced by the uncertainty and density of measured data. The uncertainty of fitting value is low in the area where measured data are accurate and dense, and is high in the area where measured data are inaccurate and sparse. Outside the energy range of experimental data, the uncertainty of the fitting value increases rapidly, therefore it is not appropriate to use double-logarithmic polynomial to get γ detection efficiency.

     

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