A substrate wafer arrangement includes a substrate layer having a first main side and a second main side opposite the first main side, the first main side being a front-side and the second main side being a back-side, the substrate layer further having a plurality of semiconductor chips. A polymer structure arranged between the plurality of semiconductor chips extends at least from the front-side of the substrate layer to the back-side of the substrate layer and protrudes from a back-side surface of the substrate layer. The polymer structure separates a plurality of insular islands of conductive material, each insular island corresponding to a respective semiconductor chip of the plurality of semiconductor chips. Semiconductor devices produced from the substrate wafer arrangement are also described.