An efficient two-stage algorithm is presented for the synthesis of hig
h-frequency-carrier diffractive elements. First, an on-axis phase-only
stripe-geometry element with an unconstrained profile along each stri
pe is designed by an iterative Fourier transform algorithm. In the sec
ond stage, a steep linear phase term is added, and the profile is hard
-clipped along each stripe. The result is a binary, pulse-frequency-mo
dulated element suitable, e.g., for a resonance-domain realization, wh
ich permits the elimination of the twin image. Experimental results ar
e provided by direct-write electron-beam lithography and optical litho
graphy, using both fully and partially coherent illumination.