The structural characteristics of the light-exiting surface of a light emitting device are controlled so as to increase the light extraction efficiency of that surface when the surface is roughened. A light emitting surface comprising layers of materials with different durability to the roughening process exhibits a higher light extraction efficiency than a substantially uniform light emitting surface exposed to the same roughening process. In a GaN-type light emitting device, a thin layer of AlGaN material on or near the light-exiting surface creates sharper features after etching compared to the features created by conventional etching of a surface comprising only GaN material.