Two-dimensional Green's function and local density of states in photonic crystals consisting of a finite number of cylinders of infinite length - art. no. 046612

Using the exact theory of multipole expansions, we construct the two-dimens ional Green's function for photonic crystals, consisting of a finite number of circular cylinders of infinite length. From this Green's function, we c ompute the local density of states (LDOS); showing how the photonic crystal affects the radiation properties of an infinite fluorescent line source em bedded in it. For frequencies within the photonic band gap of the infinite crystal, the LDOS decreases exponentially inside the crystal; within the ba nds, we find "hot'' and "cold'' spots. Our method can be extended to three dimensions as well as to treating disorder and represents an important and efficient tool for the design of photonic crystal devices.