We describe image testing, surface metrology, and modeling of telescope mir
rors (0.5 m in diameter, f/4.3) for the Far Ultraviolet Spectroscopic Explo
rer (FUSE) satellite. Laboratory image testing of wavelengths in the visibl
e, vacuum, and midultraviolet validated a theoretical analysis by use of th
e Optical Surface Analysis Code (OSAC). Our modeling is based on surface me
trology, including measurements of figure, midfrequency error, and microrou
ghness. This combination of metrology, out-of-band performance testing, and
modeling verified that the mirrors would meet mission requirements. We use
OSAC to predict the FUSE telescope's far-ultraviolet (90-120-nm) point-spr
ead function and assess its effect on instrument efficiency. The mirrors ha
ve a 90% encircled energy diameter of 1.5 arc sec at lambda = 100 nm. Inclu
ding the effects of spacecraft pointing error, the mirrors have a predicted
average slit transmission at lambda = 100 nm of approximately 87% and 96%
for the 1.25- and Q-arc sec-wide spectrograph slits, respectively, where th
e required transmissions are 50% and 95%. (C) 2000 Optical Society of Ameri
ca OCIS codes: 110.6770, 120.4800, 220.4840, 260.7210, 120.3940, 110.2960.