光斑环围参量阵列测试法的测量不确定度

 为评定光斑环围参量（包括环围功率和环围尺寸）阵列测试法的测量不确定度，给出了环围参量一般形式的定义和连续形式的计算表达式，归纳并比较了阵列测试法下光斑环围参量的3种常用计算方法，即近似环围功率法、准确环围功率法和等效环围尺寸法，给出了零阶近似下环围参量离散形式的计算表达式。根据不确定度传递律，推导了基于等效环围尺寸法的环围参量测量不确定度的一般表达式，讨论了常见简化条件下的环围参量测量不确定度表达式。建立了光斑环围参量计算及其不确定度评定的一套较完整的方法。以强度为高斯分布的光斑为例，得到了简化条件下的环围参量测量不确定度的解析表达式，并用数值模拟法验证了其正确性。

Uncertainty of encircled parameters of spot measured with array detector

The evaluation of uncertainty of spot encircled parameters measured with array detectors is the main goal in this paper. Firstly, the general definition and mathematical expression of spot encircled parameters are given. Secondly, three computation methods for spot encircled parameters measured with array detectors, including approximated encircled power method, exact encircled power method, equivalent encircled size method, are summarized and compared with each other. And the corresponding discrete expressions to the three computation methods are derived based on zero order approximation. Thirdly, general expressions of uncertainty of spot encircled parameters based on equivalent encircled size method are derived according to the transfer law of uncertainty. And then several simple forms