%0 Journal Article %T Fundamental limitations to gain enhancement in periodic media and waveguides %A Jure Grgi£¿ %A Johan Raunkj£¿r Ott %A Fengwen Wang %A Ole Sigmund %A Antti-Pekka Jauho %A Jesper M£¿rk %A N. Asger Mortensen %J Physics %D 2012 %I arXiv %R 10.1103/PhysRevLett.108.183903 %X A common strategy to compensate for losses in optical nanostructures is to add gain material in the system. By exploiting slow-light effects it is expected that the gain may be enhanced beyond its bulk value. Here we show that this route cannot be followed uncritically: inclusion of gain inevitably modifies the underlying dispersion law, and thereby may degrade the slow-light properties underlying the device operation and the anticipated gain enhancement itself. This degradation is generic; we demonstrate it for three different systems of current interest (coupled resonator optical waveguides, Bragg stacks, and photonic crystal waveguides). Nevertheless, a small amount of added gain may be beneficial. %U http://arxiv.org/abs/1202.4911v2