Lambertian radiance and transmission of an integrating sphere

Appl Opt. 2007 Oct 1;46(28):6966-70. doi: 10.1364/ao.46.006966.

Abstract

The importance of Lambertian transmission, rather than total transmission, is argued and expressions for both are given. Exact expressions for output radiance are given in terms of both total sphere area and port area. A formula for choosing sphere size to give the maximum Lambertian transmission is developed. Port fractions in the range of 0.1-0.2 are recommended.