Diffractive optical elements easily handle tasks such as the generatio
n of uniform arrays of beams, beam steering and focusing, and aberrati
on correction that conventional optics alone often find difficult or i
mpossible. Here we review the design, fabrication, and performance of
DOEs for use as free-space interconnection elements in optical-computi
ng and photonic-switching applications. Our discussion focuses on Four
ier- and Fresnel-regime surface-relief structures and their microlitho
graphic fabrication. We include two practical examples to demonstrate
the potential of such optical elements.