点余弦源下圆盘探测器对向立体角的解析计算
Analytical calculation of the solid angle subtended by a circular disc detector at a point cosine source
摘要：
在圆盘位于源（$μ\geq 0$）照射的半空间中的唯一条件下，推导了圆盘对余弦角分布点源（$f(μ)=μ/π$）的立体角的解析表达式.这些表达式是参照两个可供选择的坐标系（S和S '）给出的，S使得z轴平行于盘的对称轴，S'使得$z'$轴与源方向对准。给出了表达式的样图。
英文摘要：
We derive analytical expressions for the solid angle subtended by a circular disc at a point source with cosine angular distribution ($f(μ)=μ/π$)under the sole condition that the disc lies in the half-space illuminated by the source ($μ\geq 0$). The expressions are given with reference to two alternative coordinate systems (S and S'), S being such that the z axis is parallel to the symmetry axis of the disc and S' such that the $z'$ axis is aligned with the source direction. Sample plots of the expressions are presented.
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