Artificial index gratings, which are composed of binary microstructure
s of sizes less than the incident wavelength, are analyzed as function
s of the filling factor or duty cycle of the microstructures. Differen
t models for calculating the optimum duty cycles to produce high blaze
d diffraction efficiency are compared. Blazed binary grating designs i
n a material with a refractive index n = 2 show theoretical diffractio
n efficiencies as high as eta = 80%. In the semiconductor material sil
icon, which has a refractive index n = 3.4, theoretical diffraction ef
ficiencies as high as eta = 70% are predicted.