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Computer-generated holograms (diffractive elements) can be used for shaping mm-wave beams and for producing complex field configurations. The radio holograms studied here are amplitude holograms. An amplitude hologram has been proven to be a feasible alternative as a focusing element in a compact antenna test range (CATR) at mm-wavelengths. Amplitude holograms have also been demonstrated in other mm- and submm-wave beamshaping applications - e.g., on the creation of nondiffracting radiowave Bessel beams, a radio wave vortex, and also a custom-designed beam pattern.