Observation of Spatial Fluctuations of the Local Density of States in Random Media

We experimentally study spatial fluctuations of the local density of states (LDOS) inside three-dimensional random photonic media. The LDOS is probed at many positions inside the random photonic media by measuring emission rates of a large number of individual fluorescent nanospheres. The emission rates are observed to fluctuate spatially. We analyze the variance of these fluctuations for samples with different scattering strengths. The measured variance of the emission rates agrees well with a model that takes into account the effect of the nearest scatterer only.