Pagnutti Christopher, Galiano Eduardo
Department of Physics, Laurentian University, Ramsey Lake Road, Sudbury, ON, Canada P3E 2C6.
Appl Radiat Isot. 2008 Jan;66(1):108-13. doi: 10.1016/j.apradiso.2007.08.002. Epub 2007 Aug 15.
We explore the causes of an interesting behavioral anomaly in an analytical result which has been previously derived for the solid angle subtended by a circular detector for a line source in a parallel plane-whose midpoint is coaxial with the detector's center. The anomalous behavior is verified by comparing it to the results produced by a special purpose Monte Carlo code. In addition, the relevant cases of a very large detector, a very long source, a very short source, and a very small detector, are investigated using standard analytical techniques in the theory of limits. We demonstrate that in these limiting cases, the analytical expression correlates well with the Monte Carlo code. These results are presented in analytical, and graphical forms.
我们探究了一个有趣的行为异常在分析结果中的成因，该分析结果先前是针对平行平面中直线源的圆形探测器所张立体角推导得出的，直线源的中点与探测器中心同轴。通过将该异常行为与专用蒙特卡罗代码产生的结果进行比较，验证了这种异常行为。此外，利用极限理论中的标准分析技术，研究了探测器非常大、源非常长、源非常短以及探测器非常小的相关情况。我们证明，在这些极限情况下，解析表达式与蒙特卡罗代码的结果相关性良好。这些结果以解析形式和图形形式呈现。
