Relative local density of states and cloaking in finite clusters of coated cylinders

We describe a method for accurate calculation of the Relative Local Density of States (RLDOS) as a function of frequency and position in finite sets of coated cylinders. The RLDOS is important, since it describes the interaction between sources and their environment, which controls their ability to radiate electromagnetic waves. We give numerical examples of distributions of RLDOS for clusters of cylinders with lossy coatings whose optical properties are in the range typical of metamaterials, and use these to show the tendency of RLDOS to concentrate on the coating boundaries when plasmonic cloaking is occurring.