Some further analytical results on the solid angle subtended at a point by a circular disk using elliptic integrals
Abstract
A series formulation involving complete elliptic integrals of the first and second kinds for the solid angle subtended at a point by a circular disk is presented. Results from the present model were tested against data sets obtained with previous treatments for the solid angle in order to determine the degree of simplicity and speed of our calculations. 3-D graphs are presented.
- Publication:
-
Nuclear Instruments and Methods in Physics Research A
- Pub Date:
- September 2007
- DOI:
- 10.1016/j.nima.2007.05.055
- Bibcode:
- 2007NIMPA.580..149T
- Keywords:
-
- 02.30.Gp;
- 02.30.Mv;
- 02.60.Cb;
- Special functions;
- Approximations and expansions;
- Numerical simulation;
- solution of equations