Analytical calculation of the solid angle defined by a cylindrical detector and a point cosine source with orthogonal axes

TL;DR

This paper derives analytical formulas to calculate the solid angle subtended by a cylindrical detector from a point source with cosine angular distribution, specifically when their axes are orthogonal.

Contribution

It provides new analytical expressions for the solid angle in the case of orthogonal axes between the source and the cylindrical detector.

Findings

Derived explicit formulas for the solid angle

Applicable to sources with cosine angular distribution

Enhances accuracy in detector calibration

Abstract

We derive analytical expressions for the solid angle subtended by a right circular cylinder at a point source with cosine angular distribution in the case where the source and the cylinder axes are mutually orthogonal.