(a) Fraction of neutrons from the guide that are doubly reflected by the condenser and are focused onto the 25 mm square aperture. An objective with 20 shells, focal length of 750 mm and magnification of 10 was included to estimate the fraction of neutrons successfully transported to the detector, in order to display on the same axis, this fraction was multiplied by 10. The condenser focal length resulting in the maximum throughput to the aperture differs significantly from that to the detector, highlighting the importance of simultaneously optimizing both lenses. (b) Fraction of doubly-reflected neutrons from a given mirror shell for three of the condenser focal lengths in (a). The results are derived from one ray tracing instance, and the estimated standard deviation for (a) is about 0.001 and for (b) is about 0.003.