Generalizations of Ruby's formula for the geometric efficiency of a parallel-disk source and detector system

✍ Scribed by John T. Conway

• Publisher: Elsevier Science
• Year: 2006
• Tongue: English
• Weight: 175 KB
• Volume: 562
• Category: Article
• ISSN: 0168-9002
• DOI: 10.1016/j.nima.2006.02.197

✦ Synopsis

Ruby's formula for a parallel-disk source and detector system has been generalized to include non-coaxial disks and a source disk with an arbitrary radial distribution of surface emissivity. The results in all cases are given as one-dimensional integrals of products of Bessel functions and exponentials. For the case of coaxial disks, the solution can always be expressed in closed form as a sum of complete elliptic integrals. For the coaxial case with constant emissivity treated by Ruby, the solution is also given as a simple numerically friendly angular integral.