A radome having a core layer and two cover layers and method of forming the radome. The core layer is arranged between the two cover layers. Each of the two cover layers is composed of a plurality of partial layers which, by their respective dielectric constant, are embodied such that the radome provides a high mechanical stability and a high electromagnetic transparency. The dielectric constant of adjacent partial layers thereby alternates from relatively high to relatively low in the direction towards the core layer, and vice versa.