I present a Monte Carlo model for predicting the performance of integr
ating spheres as a function of incident Aux direction. The model was d
eveloped specifically to aid in the design of integrating spheres used
as cosine collectors but is of general applicability. I discuss a met
hod of generating uncorrelated random numbers. The probability density
functions associated with uniform irradiance over a circular entrance
port and Lambertian reflectors or emitters are presented. A compariso
n of the model with analytic equations predicting performance for an u
nbaffled integrating sphere is included. The average of the data gener
ated by the model agrees with the analytic solution for sphere through
put to better than 0.25% (sigma = 8.3%). (C) 1996 Optical Society of A
merica