Network Representation of the Integrating Sphere

Abstract

The interreflected-flux distribution in an integrating sphere equipped with apertures for the introduction, reflection and absorption of radiant flux may be represented by a network. Sphere apertures of finite size, nonblack apertures and sphere ports defined by plane surfaces are represented in the network as resistance elements. For the case of black entrance and exit ports, an expression for the flux incident on the exit port is computed by circuit analysis and is identical to the expression derived by Jacques and Kuppenheim using the integral equation technique. A solution of the network representing a sphere with a nonblack exit port of various relative sizes is presented as obtained using a network analyzer.