Analytical calculation of the solid angle subtended by a circular disc detector at a point cosine source

Details Analytical calculation of the solid angle subtended by a circular disc detector at a point cosine source Analytical calculation of the solid angle subtended by a circular disc detector at a point cosine source

2003-05-15

arxiv.org/abs/math-ph/0305034v2

Nucl. Instr. and Meth. (2004), A521, 576-585.

Physics

Mathematical Physics

12 pages, 10 figures, LaTex12 pages, 10 figures, LaTex. Minor changes from previous version: references added, english reshapi

Scientific paper

10.1016/j.nima.2003.10.098

We derive analytical expressions for the solid angle subtended by a circular disc at a point source with cosine angular distribution ($f(\mu)=\mu/\pi$)under the sole condition that the disc lies in the half-space illuminated by the source ($\mu \geq 0$). 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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