Green's functions and relative local density of states in two-dimensional lossy structured systems

Abstract

The local density of states (LDOS) is a function of spatial position and frequency which governs the radiation properties of sources placed within structured optical systems. We show how the enhancement or suppression of the relative LDOS, comparing two-dimensional systems, may be computed from Green's tensors obeying the two-dimensional Helmholtz equation and electromagnetic boundary conditions, both around and within a coated, lossy, non-magnetic cylinder. We illustrate the spatial and spectral variation of this relative LDOS with numerical results for both principal cases of polarization, with either the magnetic or the electric field of the Green's function source along the cylinder axis.