Ultimate limits of light confinement in randomly-perturbed periodic structures

Understanding to what extent tiny random imperfections in periodic photonic structures may impact on their operation is critical for the development of high-performance photonic devices. For instance, such imperfections are known to have a considerable impact on light transport and localization near the band edges of periodic structures. Group velocity is generally considered as the key parameter determining the transport properties, since slowness reinforces the light interaction with imperfections. Here, we show via near-field measurements, statistical numerical calculations and theory that only localized modes larger than a certain size (a few wavelength cube) can be formed in a slow-light periodic medium and show that the lower bound is predominantly driven by the effective photon mass rather than the group velocity. Our study reveals how periodic media exhibiting flat dispersion curves naturally support surprisingly small localized modes at almost imperceptible disorder levels. The existence of a size limit and the importance of the effective photon mass have not been pointed out in previous work on light localization near band edges.