In scanning IR systems with cooled quantum detectors, the Narcissus si
gnature usually has a limiting effect on the perceived image quality,
and so ii, is important that it be assessed accurately before manufact
ure. We describe a new finite ray-tracing method in which each ray rep
resents an equal amount of flux falling on the detector. Such methods
require many rays; therefore a full error treatment is given that allo
ws designers to estimate the necessary number of rays to obtain the re
quired accuracy and also to calculate the standard deviation of the er
ror in the final computed result. (C) 1997 Optical Society of America.