An improved radome and an associated improved method for producing a radome has a radiating structure consisting of a passive radiating structure, preferably in the form of frequency-selective surfaces (FSS). The passive radiating structures are formed by (a) structured metal surfaces surrounded by metal-free regions, or (b) cut-outs in a metal film or metal layer. The passive radiating structures consist of a composite film comprising at least one plastics carrier layer and a metal film or layer attached thereto. The composite film is attached or glued onto the outer surface or outer skin of the radome.