Annular photonic crystals: computation and analysis of the green’s function

In this paper we discuss two-dimensional (2D) annular PC. In particular, we consider a finite size PC composed of an air-hole and dielectric rod array such that an air-hole is centered within each dielectric rod. The clusters we consider consist of parallel, disjoint two-layered cylinders of arbitrary shapes. We implement computational techniques and analyze the Green's function, using both the semi-analytical (for circular cylinders) and numerical-boundary element (for arbitrary cylinders) methods.