Two-Dimensional Green's Function and Local Density of States im Photonic Crystals Consisting of a Finite Number of Cylinders of Infinite Length

American Physical Society
Publication Type:
Journal Article
Physical Review E, 2001, 63 (46612), pp. 1 - 4
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Using the exact theory of multipole expansions, we construct the two-dimensional Greens function for photonic crystals, consisting of a finite number of circular cylinders of infinite length. From this Greens function, we compute the local density of states ~LDOS!, showing how the photonic crystal affects the radiation properties of an infinite fluorescent line source embedded in it. For frequencies within the photonic band gap of the infinite crystal, the LDOS decreases exponentially inside the crystal; within the bands, 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.
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