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针对对称放置的线性源,圆形探测器所张立体角的解析解。

An analytical solution for the solid angle subtended by a circular detector for a symmetrically positioned linear source.

作者信息

Galiano Eduardo, Pagnutti Christopher

机构信息

Department of Physics, Laurentian University, Ramsey Lake Road, Sudbury, ON, Canada P3E 2C6.

出版信息

Appl Radiat Isot. 2006 May;64(5):603-7. doi: 10.1016/j.apradiso.2005.12.006. Epub 2006 Jan 19.

DOI:10.1016/j.apradiso.2005.12.006
PMID:16427293
Abstract

The analytical determination of the solid angle subtended by a circular detector for a line source in a parallel plane, whose midpoint is co-axial with the detector's center, is of some relevance to the medical and nuclear power fields. No report has been found in the literature of a closed-form solution to this problem. We present a first principles solution to the problem along with a graph, which gives some indication of the behavior of the derived expression.

摘要

对于位于平行平面中的线源,由圆形探测器所张立体角的解析确定具有一定相关性,该线源的中点与探测器中心同轴,这在医学和核电领域中都有一定意义。在文献中尚未发现关于此问题的封闭形式解的报道。我们给出了该问题的第一性原理解答以及一张图表,该图表给出了导出表达式特性的一些指示。

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