In order to provide a microwave-conducting arrangement, which is relatively easy, and thus cost-favorable, to fabricate, and which is suited also for complex structures and geometries, one or more electrically conductive layers are provided which are applied on a non-conductive body having a surface of any shape. A metallizing provided for such purpose on the surface of the body is, for example, produced by a vapor-deposition process, by means of a flame-spraying process, or by means of a chemical metallizing.