Chirped Mo-Si multilayer coatings, where the multilayer period is syst
ematically varied throughout the deposition process, exhibit an increa
sed x-ray bandwidth at normal incidence with a corresponding increase
in the integrated reflectance of as much as 20% at lambda approximatel
y 13 nm. The increased bandwidth is accompanied by a slight reduction
in peak reflectance. The relation between the integrated and peak refl
ectance is used to determine the chirp required to optimize the x-ray
throughput of a multiple-element optical system.